Mcs 035
Mcs 035
 
List the four main uses of funds in your organisation. 
.
. 
6.9  IMPORTANCE OF CASH AND CASH FLOW 
STATEMENT 
Cash is another form of fund although in a narrow sense, it refers to a supply that can 
be drawn upon according to the need. Here the term cash includes both cash and cash 
equivalents.  Cash  equivalents  are  highly  liquid  short  term  investments  which  could 
be easily converted into cash without much delay. 
It may however be appreciated that the obligations and liabilities of a business arising 
on a day to day basis must be met through 
"
Cash" or "Cheque". We must also be able 
to distinguish between "Profit" and "Cash". One cannot pay the creditors, electricity 
bills,  tax  or  even  dividend  by 
"
Net  Profit".  For  such  and  many  other  purposes,  a 
business needs either physical cash or balance or credit limits with banks. Not to be  
 
 
able to meet the business comitments through cash as and when these arise can spell 
disaster  for  a  business  even  if  it  has  a  strong  working  capital  and  has  earned 
handsome profit. 
74
Understanding 
Financial Statements 
 
 
So  far  we  had  seen  that  the  balance  sheet  and  profit  and  loss  account  provide 
information  about  the  financial  position  and  the  results  of  operations  in  a  financial 
period.  The  funds  flow  statement  explained  earlier  traces  the  flow  of  funds  through 
the  organisation.  But  neither  of  these  financial  statements  can  provide  information 
about the cash flows relating to operating, financing and investing activities. 
To ensure that the right quantity of cash is available in accordance with the needs of a 
business it is necessary to make a "cash planning" by determining the amount of cash 
entering the business (cash inflow) and the cash leaving the business (cash outflow). 
The  statement  which  explains  the  changes  that  take  place  in  cash  position  between 
two periods is called the cash flow statement. 
Cash  flow  statement  is  an  important  tool  in  the  hands  of  the  management  for  short 
term  planning  and  coordinating  of  various  operations  and  projecting  the  cash  flows 
for  the  future.  It  presents  a  complete  view  about  the  movement  of  cash  and 
identifying  the  sources  from  which  cash  can  be  acquired  when  needed.  The 
comparison of the actual cash flow statement with the projected cash flow statement 
helps  in  understanding  the  trends  of  movement  of  cash  and  also  the  reasons  for  the 
success or failure of cash planning. 
Cash  flow  and  fund  flow  statements  are  similar  to  each other in many respects. The 
main  difference  however,  lies  in  the  fact  that  the  terms  "fund"  and 
"
cash
"
  import 
different  meaning.  The  term  "fund"  in  fund  flow  statement  has  a  wide  meaning.  A 
fund  flow  statement  examines  the  impact  of  changes  in  fund's  position  during  the 
period under review on the working capital of the concern (working capital refers to 
current assets - current liabilities). Cash in the cash flow statement refers only to cash 
and or balance with bank, i.e., a small part of the total fund, although very important. 
The cash flow statement starts with the opening cash balance, shows the sources from 
where additional cash was received and also the uses to which cash was put and ends 
up  showing  the  closing  balance  as  at  the  end  of  the  year  or  period  under  review. 
Whereas there are
 
no opening and closing balances in Funds Flow statement. Increase 
in  current  assets  or  decrease  in  current  liabilities  increases  the  working  capital, 
whereas  the  decrease  in  current  assets  or  increase  in  current  liabilities  increases  the 
cash flow. 
6.10  SOURCES AND USES OF CASH 
There are various activities undertaken by a business which prove to be either source 
or use of cash. These can be classified under three broad categories, i.e., Operating 
activities,  Investing  activities  and  Financing  activities.  A  brief  discussion  of  each 
of these categories is given below: 
Operating  activities  include  cash  inflows  associated  with  sales,  interest  and 
dividends  received  and  the  cash  outflows  associated  with  operating  expenses 
including  payments  to  suppliers  of  goods  or  services,  payments  towards  wages, 
interest  and  taxes,  etc.  Increase  or  decrease  in  current  assets,  e.g.,  receivables, 
inventory as well as increase or decrease in current liabilities, e.g., accounts payable, 
wages payable, interest payable, taxes payable also reflect operating activities. 
Investing  activities  refer  to  long  life  assets  like  land  and  building,  plant  and 
machinery, investments and the like. Acquisitions of these assets imply cash outflow 
whereas their disposal means inflow of cash. 
 
 
Financing activities encompass changes in equity and preference capital, debentures, 
long  term  loans  and  similar  items.  Issuance  of  equity,  preference  and,  debenture 
capital as well as raising of long term loans imply cash inflow. Retirement of capital, 
dividend  payments  to  shareholders,  redemption  of  debentures,  amortisation  of  long 
term loans, on the other hand are associated with cash outflow. 
75
Construction and Analysis of
Fund Flow and Cash Flow
Statements
 
The  Cash  Cycle:  In  order  to  deal  with  the  problem  of  cash  management  we  must 
have an idea about the flow of cash through a firm's accounts. The entire process of 
this cash flow is known as Cash Cycle. This has been illustrated in Figures 6.2 and 
6.3.  Cash  is  used  to  purchase  materials  from  which  goods  are  produced.  Production 
of these goods involves use of funds for paying wages and meeting other expenses. 
 
Figure 6.3: Details of the Cash Cycle 
 
 
 
76
Understanding 
Financial Statements 
 
 
(a) 
(b) 
(c) 
(d) 
(e) 
a) 
b) 
Goods produced are sold either on cash or credit. In the latter case the pending bills 
are  received  at  a  later  date.  The  firm  thus  receives  cash  immediately  or  later  for  the 
goods sold by it. The cycle continues repeating itself. 
The  diagram  in  Figure  6.2  only  gives  a  general  idea  about  the  channels  of  flow  of 
cash  in  a  business.  The  magnitude  of  the  flow  in  terms  of  time  is  depicted  in  the 
diagram given in Figure 6.3. The following information is reflected by Figure 6.3. 
Raw material for production is received 10 days after placement of order. 
The  material  is  converted  into  goods  for  sale  in  37  days  (15+2+20)  from 
point of B to E. 
The payment for material purchased can be deferred to 17 days (15+2) after 
it is received i.e. (the distance of time between points B to D), assuming that 
it takes 2 days for collection of payment of the cheque. 
The  amount  of  the  bill  for  goods  sold  is  received  32  days  (30+2)  after  the 
sale of goods as is depicted by duration of time between point E to G. 
The recovery of cash spent till point D is made after 56 days (20+30+2+2+2) 
as shown between points D to J. 
Managing  these  inflows  (collections)  and  outflows  (disbursements)  are  discussed  in 
detail in unit 16 in Block No.5. 
Ativity 6.3 
Meet  a  responsible  executive  of  Accounting  and  Finance  Department  of  a 
manufacturing organisation regarding the following: 
What is the length of its Cash Cycle?  
  Cash Cycle is approximately of ..days. 
Draw  the  sequence  of  Cash  Cycle  showing  its  successive  events  with  the 
respective number of days. 
. 
c)   Inquire  whether  or  not  the  organisation  is  satisfied  with  its  length  of  cash 
cycle. What steps it proposes to take for reducing the Cash Cycle?  
. 
6.11  PREPARATION OF CASH FLOW STATEMENT 
To start with, we need two successive balance sheets and the operating statement or 
profit and loss account linking the two balance sheets. 
There are two ways in which this statement can be drawn up. One approach
 
is to start 
with the operating cash balance, add/deduct the profit/loss from operation to it and then 
proceed  to  give  effect  to  the  change  of  each  item  of  current  assets  and  liabilities 
together with the additions to and reductions in other assets and shareholders funds and 
long term liabilities and finally arrive at the closing cash balance. This is known as the 
"Profit basis" statement. For the sake of better understanding, the changes in items of 
current  assets,  current  liabilities,  shareholders'  fund,  long  life  assets  and  long  term 
liabilities can be organised under the three broad categories of operating, investing and 
financing  activities  (as  discussed  above),  changes  measured  under  each  category,  the 
opening cash balance adjusted to these changes and the closing cash balance arrived at. 
 
 
The  second  way  is  to  deal  only  with  cash
 
receipts  and  disbursements.  This  does  not 
consider non cash items like depreciation, preliminary expenses written off, etc. The 
latter type of cash flow statement is known as "Cash basis" statement. 
77
Construction and Analysis of
Fund Flow and Cash Flow
Statements
 
Preparation of a cash flow statement on cash basis is a straight forward exercise and 
left to the students. Here, we would take up the cash flow statement on "profit basis" 
for further examination. A framework of the steps to be followed for this purpose is 
appended below: 
Steps involved in preparation of a "Profit basis" cash flow statement: 
1. 
2. 
3. 
4. 
5. 
From the first of the two balance sheets, take the closing cash balance, which 
will be the opening cash balance for the purpose of our cash flow statement. 
Take  the  net  profit  figure.  If  it  is  not  directly  given  and  you  are  provided 
with  only  Profit  and  Loss  account  balances  in  both  the  Balance  Sheets, 
ascertain  it  (net  profit)  by  preparing  an  "Adjusted  Profit  and  Loss  account". 
For  this  purpose,  all  items  of  profit  appropriations  as  well  as  non-cash 
expenses  and  income  are  to  be  added  to  and  subtracted  from  the  balance  of 
P&L  account,  as  the  case  may  be.  This  gives  the  figure  of  "Profit  from 
operation." 
Adjust  increase  or  decrease  in  each  item  of  current  assets  and  current 
liabilities  to  the  "Profit  from  operation"  figure  to  arrive  at  the 
"
Cash  from 
operation". 
Revert back to the "Opening Cash Balance". Add the "Cash from operation" 
to  it.  Also  add,  cash  flow  from  other  sources like non-current assets & non-
current  liabilities,  e.g., equity and debenture issue, raising term loan, sale of 
fixed  assets.  Deduct,  cash  outflow  to  various  uses,  again  involving  non-
current  or  fixed  assets  and  non-current  liabilities,  e.g.,  redemption  of 
preference  shares/debentures,  retirement  of  term  loan,  purchase  of  fixed 
assets, etc. 
The  balance  arrived  at  (4)  above  should  tally  with  the  closing  balance  of 
cash in the second balance sheet. 
Increases  and decreases in various items of assets and liabilities as mentioned under 
items  3  &  4  above  can  be  optionally  organised  under  operational,  investment  and 
financing activities for clarity sake. 
We  use  the  above  approach  and  procedure  in  preparing  a  "profit-basis"  cash  flow 
statement in Illustration 6.3. 
Illustration 6.3 
  M/s Navyug Udyog     
Balance Sheets as at  31st March, 2002 
                        Rs. 
31st March, 2003 
                        Rs. 
 
Assets:       
    Freehold Property  1,50,000 1,50,000 
    Plant and Machineries 
    Less: Depreciation 
1,10,000 1,70,000 
    Goodwill  15,000 5,000 
    Investment  75,000 1,30,000 
    Debtors  1,08,000 1,32,000 
    Stock  70,000 1,02,000 
    Bills Receivable  42,000 53,000 
    Cash in hand and at bank  20,000 50,000 
    Preliminary Expenses  20,000 15,000 
  6,10,000 8,07,000 
 
 
Balance Sheets as at  31st March, 2002 
Rs. 
31st March, 2003
Rs.
Liabilities:     
    Share Capital  4,00,000  5,00,000
    (40,000 Equity Shares @ Rs. 10/- per    
    share) 
  60,000
General Reserve  50,000  65,000
Dividend Equalisation Reserve  25,000  15,000
Profit and Loss a/c  40,000  55,000
Sundry Creditors  60,000  67,000
Prov. for Taxation  20,000  35,000
Bills Payable  15,000  10,000
6,10,000  8,07,000
78
Understanding 
Financial Statements 
 
 
Aditional Information: 
1. 
2. 
3. 
5. 
6. 
Shares were issued at a premium of Rs. 1.50' per share. 
During  the  year  Taxation  liability  in  respect  of  2002  was  Rs,  20,000  and 
paid. 
During the year, Rs. 11,000 was provided for depreciation on Plant and  
  Machinery. 
4.  An  item  of  the  plant  the  written  down  value  Rs.  20,000  was  sold  at  Rs. 
25,000. 
During the year, a dividend @ 7.5% was paid. 
Part  of  the  investment  costing  Rs.  30,000  was  sold  at  Rs.  35,000  and  the 
profit was taken in Profit and Loss account. 
Based  on  the  above  information,  we  first  set  ourselves  to  ascertain  the  cash  inflow 
and  outflow  in  respect  of Investment, Plant and Machineries and Tax, which cannot 
be found out by a mere inspection of their balances in two balance sheets. The task is 
accomplished  by  preparing  the  respective  accounts  and  examining  the  effects  of  the 
additional  information  on  each  of  these.  This  is  followed  by  preparation  of  an 
"
Adjusted  Profit  and  Loss  a/c"  to  find  out  the  actual  net  profit  earned  during  the 
period, in the light of the additional information now available. In the final stage, the 
"Cash flow statement" is prepared (Table 6.3). 
Investment Account 
 
To Opening balance  75,000      By Sale  35,000
To P & L a/c (profit on sale)  5,000      By Closing balance  1,30,000
To Bank (Purchases)  85,000 
  1,65, 000  1,65, 000
Plant & Machinery Account 
To Opening balance
1,10,000
     By Sale  25,000
To P & L a/c (profit on sale) 
5,000     By P & L a/c- 
depreciation
11,000
To Bank 
91,000     By Closing balance  1,70,000
2,06,000 2,06,000  
 
 
Provision for taxation 
79
Construction and Analysis of
Fund Flow and Cash Flow
Statements
 
To Bank  20,000  By Opening Balance  20,000 
By Closing balance  35,000 
 
By P & L a/c  35,000 
  55,000   
 
55,000 
Adjusted Profit and Loss Account 
To General Reserve  15,000 By Opening balance  40,000 
To Dividend  30,000 By Dividend Equalisn. Reserve  10,000 
To Provision for tax  35,000 By Plant and Machineries profit on sale  5,000 
To Depreciation  11,000 By Investment-profit on sale. 
By profit for the year 
(balancing figure) 
5,000 
 
1,01,000 
To Goodwill  10,000   
To Preliminary expenses  5,000   
To Closing balance  55,000   
  1,61,000 
 
1,61,000 
Table 6.3 
Statement of Cash flow 
for the period 1.4 2002 to 31.3.2003 
Rs. 
Opening Cash balance as on 1.4.2002        20,000 
Add/(deduct): Cash flow from 
Operating Activities 
       
Net profit (Ref: P&L Adjustment a/c)      1,01,000   
Add: 
     Decrease in current assets 
     Increase in current liabilities: 
     Sundry Creditors 
 
 
Nil 
 
7,000 
   
 
 
 
7,000 
 
Deduct: 
     Increase in current assets 
     Debtors 
     Stock 
     Bills Receivables 
 
 
 
24,000 
32,000 
11,000 
 
 
 
 
67,000 
   
Decrease in Current liabilities 
     Bills payable 
     Payment of tax 
 
 
5,000 
20,000 
 
 
 
25,000 
 
 
 
 
92,000 
 
 
 
 
16,000 
Add/(deduct): Cash flow from 
Investment activities 
       
Add: Sale of Plant & Machineries 
Add: Sale of Investment 
 
25,000 
35,000 
 
 
60,000 
   
Deduct:  Purchase  of  Plant  and 
Machineries 
Deduct: Purchase of Investments 
 
91,000 
85,000 
 
 
1,76,000 
   
 
(1,16,000) 
Add/(deduct): Cash flow from 
Financing Activities 
       
Add: Issue of share capital 
Share premium 
 
1,00,000 
60,000 
     
Deduct: Payment of dividend 
Closing Cash Balance as on 31.3.2003 
1,60,000 
30,000 
     
1,30,000 
 
50,000 
 
 
 
80
Understanding 
Financial Statements 
 
 
Activity 6.4 
Mention the four major operating activities included in a cash flow statement. 
. 
6.12  SUMMARY 
In this unit we have tried to develop the idea of flow of funds within the organisation. 
Starting  with  the  funds  requirement  for  an  organisation,  we  have  tired  to  trace  the 
sources and uses of funds. 
We tried to study the important sources of funds, namely, the operations, sale of fixed 
assets,  long-term  borrowings  and  issue  of  new  capital.  Similarly,  important  uses  of 
funds were traced to acquisition of fixed assets, payment of dividends, repayment of 
loans  and  capital.  The whole exercise reveals the areas in which funds are deployed 
and  the  source  from  which  they  are  obtained.  Finally,  we  learned  how  to  go  about 
doing the funds flow analysis with the help of published accounting information. 
We  learnt,  distinguishing  between  cash  and  fund  as  also  cash  flow  statement  and 
funds  flow  statement.  The  importance  of  cash  and  cash  flow  statement  was  dwelt 
upon. Our discussion centered around cash flow statement on 
"
cash basis" and "profit 
basis".  We  learnt  how  to  go  about  doing  the  cash  flow  analysis  with  the  help  of 
accounting  information  and  finally  presenting  the  cash  flows  in  the  form  of  a  "cash 
flow statement". 
6.13  KEY WORDS 
Working Capital: Current assets minus current liabilities. 
Funds  from  Operations:  The  change  in  working  capital  resulting  from  operations. 
Difference  between  inflow  of  funds  in  the  form  of  revenue  and  outflow  of  funds  in 
the form of expenses. 
Sources of funds: The sources from which we obtain working capital for application 
elsewhere. Sources include operations, extraordinary profits, sale of fixed assets, new 
long-term  borrowings,  new  issue  of  capital  and  the  reduction  of  existing  working 
capital. 
Use  of  Funds:  Also  referred  to  as  application  of  funds  means  use  of  additional 
working capital and includes amounts lost in operations (Operating loss), acquisition 
of  fixed  assets,  working  capital  used  for  retiring  long-term  loans,  payment  of  divi-
dends and amounts utilised to increase working capital. 
Cash from Operations: It refers to "Profit from Operation" duly adjusted against the 
increase or decrease in the current assets and liabilities. 
Cash  Equivalents:  These  are  highly  liquid  short  term  investments  which  could  be 
readily converted to cash and which are subject to an insignificant risk of changes in 
value. 
Cash Cycle represents the tithe during which cash is tied up in operations. 
 
 
6.14  SELF-ASSESSMENT QUESTIONS/EXERCISES 
81
Construction and Analysis of
Fund Flow and Cash Flow
Statements
 
1.  What is working capital and what factors affect the size of working capital in 
an enterprise? 
2.  
"
Current assets to an extent are financed by current liabilities" Explain. 
3.  
"
Operations provide funds" Comment. 
4.   Differentiate  between  "Schedule  of Changes in Working Capital
"
 and "Fund 
Flow Statement. 
5.   Does  a  substantial  balance  in  Retained  Earnings  indicate  the  presence  of 
large cash balance? 
6.   "Net Profit of a business cannot pay dividend
"
. Comment. 
7.   Explain the purposes of a cash flow statement. 
8.   What  are  the  differences  between  a  cash  flow  statement  and  funds  flow 
statement? 
9.   X  Ltd.  has  a  sales  revenue  of  Rs.  1,000.  Depreciation  for  the  period  is 
Rs.200.  Other  operating  expenses  are  Rs.900.  Net  loss  for  the  period  is 
Rs.100. 
a) 
b) 
What is the amount of funds generated from operations during the period by 
X Ltd.? 
Under what circumstances can the funds from operation be zero? 
10.   The following information and the balance sheet relate to Shyamsons Ltd.: 
SHYAMSONS LTD 
Balance Sheet as on 31st December 
  Year 1  Year 2 Net change during the year 
      Increase  Decrease 
Assets  Rs. Rs. Rs.  Rs. 
Cash  10,000 15,000 5,000 
Receivables  20,000 25,000 5,000 
Inventory  20,000 35,000 15,000  
Plant and Machinery Cost  85,000 85,000  
Less: Accumulated depreciation  (15,000) (10,000) 5,000 
Total Assets  1,20,000 1,50,000  
Liabilities & Capital 
Sundry Creditors 
8,000 10,000 2,000  
Outstanding expenses  7,000 10,000 3,000  
Debentures payable  10,000 5,000 5,000 
Long-term loans  5,000 25,000 20,000  
Capital  50,000 50,000  
Retained earnings  40,000 50,000 10,000  
  1,20,000 1,50,000  
Net profit for the period after charging Rs.5,000 on account of depreciation was Rs. 
20,000. A piece of equipment costing Rs.25,000 on which depreciation accumulated 
in the amount of Rs. 10,000 was sold for Rs. 10,000. Dividends paid during the year 
amounted to Rs. 10,000. 
 
 
Prepare a Sources and Uses of funds statement in the following format: 
82
Understanding 
Financial Statements 
 
 
SHYAMSONS LTD. 
Sources and Uses of Funds 
(in Rs.) 
Uses of funds    Sources of Funds   
Purchase  of  Plant  and 
Machinery 
  Operations: 
Net income 
 
Repayment of 
Debentures 
  Add: Loss in sale of 
machinery 
 
Payment of dividends       
Increase in working 
capital 
  Add: Depreciation 
Sale of equipment 
Long-term loan 
 
Total uses of Funds 
 
  Total Sources of  Funds   
11.  The  Balance  Sheet  of  Bestwood  Limited  as  at  31st  March  2002  and  31st 
March 2003 are as follows: 
  31st March    31st March 
  2002  2003    2002  2003 
  Rs.  Rs.    Rs.  Rs 
Issued share 
capital 
60,000 80,000  Freehold property 
  at cost 
50,000 50,00C
Profit and Loss 
account 
54,000 46,000  Equipment (see 
  note) 
36,000 44,400
Corporation tax   Stock in trade 32,800 35,600
due:  Debtors 27,200 28,000
31st March 2002  12,000 -  Bank  4,000 2,000
31st March 2003  - 8,000 
Creditors  24,000 26,000 
  1,50,000 1,60,000  1,50,000 1,60,000
Note: Equipment movements during the year ended 31st March 2003 were: 
  Cost 
Rs. 
Depreciation 
Rs. 
Net 
Rs. 
Balance at 31st March 2002  60,000 24,000  36,000
Additions during the year   18,000 7,600 
Depreciation provided during the year  78,000 31,600 
Disposal during year  8,000 6,000 
Balance at 31
st
 March 2003  70,000 25,600  44,400
The company's summarised profit calculation for the year ended 31st March 2003 revealed: 
Sales  Rs.  Rs.
Gain on Sale of equipment    2,00,000 
800 
 
2,00,800
Less: Cost of goods and trading expenses 
Depreciation 
1,73,200 
7,600 
 
 
 
1,80,800
Net Profit 
Corporation tax on profits of the year 
  20,000 
8,000
 
Retained profit of the year 
   
12,000
 
 
 
83
Construction and Analysis of
Fund Flow and Cash Flow
Statements
 
During the year ended 31st March 2003 Bestwood Ltd. made a bonus issue of 1,000 
ordinary shares of Rs. 10 each by capitalisation from the profit and loss account. 
With the help of the above information, prepare a fund flow statement for Bestwood 
Ltd.  revealing  the  sources  and  applications  of  funds  during  the  year  ended  31st 
March 2003. 
Answers to self-assessment Questions/Exercises 
9. 
10. 
(a)  Funds generated from operations = Rs. 100 
  (b)  When  operating  cash  expenses  are  equal  to  operating  incomes  or 
revenues. 
Solution: 
SHYAM SONS LTD. 
Sources and Use of Funds 
Use of Funds  Rs.  Sources of Funds  Rs.  Rs. 
Purchase of Plant and   Operations:
Machinery  25,000 Net Income 20,000
Repayment of Debentures  5,000   Add: Loss on sale of Machinery5,000
Payment of dividends  10,000 Add Depreciation 5,000
Increase in net  20,000  30,000 
working capital   Sale of equipment 10,000 
   Long-term loan 20,000 
60,000  60,000  Total uses of funds   Total Sources of Funds   
     
    Year 1  Year 2
Current Assets  50,000  75,000 
Less: Current Liabilities  15,000  20,000 
Working Capital    35,000  55,000 
Increase in Working Capital    20,000 
11.  Decrease in working Capital Rs. 400            
Funds from Sale of equipment Rs. 2,800. 
6.15  FURTHER READINGS 
Fraser Lyn. M and Aileen Ormiston, 04/10/2003 Understanding Financial 
Statements, Prentice Hall: New Delhi (Chapter 4). 
Pandey, I.M., 1999, Financial Management, Vikas Publishing House : New Delhi 
Horngren, Charles T., Sundem Gary, L., 1994 (9th Ed.) Introduction to Management 
Accounting, Prentice-Hall: Englewood-Cliffs of India Pvt. Ltd., New Delhi. 
(Chapter 14) 
Glantier, M. W. E., Underdown B. and A.C. Clark, 1979, Basic Accounting 
Practices, Arnold Heineman: New Delhi: (Chapter 6, Section 6). 
Hingorani, N.L. and A.R. Ramanathan, 1986, Management Accounting, Sultan 
Chand : New Delhi. (Chapter 8). 
 
Financial and 
Investment Analysis 
 
UNIT 12  RATIO ANALYSIS 
Objectives 
The main objectives of the unit are to: 
provide a board classification of ratios   
 
 
identify ratios which are appropriate for control of activities 
attempt a system of ratios which responds to the needs of control by management 
Structure 
12.1  Introduction 
12.2  Classification 
12.3  The Norms for Evaluation  
12.4  Computation and Purpose 
12.5  Managerial Uses of the Primary Ratio 
12.6  Summary 
12.7  Key Words 
12.8  Self Assessment Questions/Exercises 
12.9  Further Readings 
12.1  INTRODUCTION 
You  have  already  been  exposed  to  the  `Introduction  and  analysis'  of  financial 
statements  in  Units  4-6  of  this  course.  By  now  you  might  have  acquired  some 
familiarity with financial ratios that provide basic relationships about several aspects 
of  a  business.  You  may  have  observed  that  the  Financial  media  (magazines  like 
Fortune  India,  Business  India  Business  World,  and  dailies  like  Economic  Times, 
Financial  Express  and  Business  Standard,  among  many  others)  presents  many  of 
these  ratios  to  analyse  the  strengths  and  weaknesses  of  individual  business  firms. 
Further, the Bombay Stock Exchange makes one of the most exhaustive efforts in the 
country to analyse financial data of a large number of companies through a set of 21 
ratios.  An  internationally  cited  use  of  ratios  comes  in  the  ranking  of  the  500  largest 
corporations  by  a  financial  bi-monthly,  viz.,  Fortune  International.  This  exercise  is 
based on five basic parameters viz., Sales, Assets, Net Income, Stockholders Equity, 
and  Number  of  employees.  The  nine  rating  measures  derived  from  these  parameters 
are:  sales  change,  profits  change,  net  income  as  a  percent  of  sales,  net  income  as  a 
per  cent  of  stockholders  equity,  10-year  growth  in  earning  per  share,  total  return  to 
investors  (latest  year  and  10-year  average),  assets  per  employee,  and  sales  per 
employee. 
This  is  not  an  exhaustive  list  and  you  may  come  across  many  more  sources  of 
published  ratios  including  the  individual  companies,  many  of  which  now  provide 
summarised financial information and ratios for the past five or ten years. The point 
is  that  users  of  ratios  are  vast,  ratios  that  emerge  from  financial  data  are  numerous 
and uses to which these ratios can be put are many. 
16 
 
 
 
17 
Ratio Analysis
 
 
12.2  CLASSIFICATION 
Financial ratios have been classified in a variety of ways. You may find the following 
broad bases having been employed in current literature: 
Primacy Criterion: This distinguishes a measure, which could be considered useful 
for  all  kinds  and  sizes  of  business  enterprises,  from  many  other  measures  which  are 
not so universal in usage. The first one has been called the Primary Ratio (viz., the 
Return on Investment or the ROI) and the other category called Secondary measures 
includes  all  other  ratios.  Such  measures  will  essentially  vary  among  firms,  and  they 
will  select  only  such  of  those  measures  as  are  relevant  for  their  needs.  The  British 
Institute of Management uses this classification for inter-firm comparisons. 
Ratios tagged to needs of interest groups: The major interest groups identified for 
this purpose are: 
a) 
b)  Owners 
c)  Lenders 
Management 
This  classification  assumes  that.  management  group  is  different  from  owner 
group. 
Management  and  operational  control:  Cost  of  goods  sold  and  gross  margin 
analysis,  profit  (net  income)  analysis,  operating  expense  analysis,  contribution 
analysis and analysis of working capital. 
Owner's  viewpoint  Net  profit  to  net  worth,  net  profit  available  (to,  equity  share-
holders) to equity share capital, earnings per share, cash flow per share and dividends 
per share. 
Lenders'  evaluation:  Current  Assets  to  Current  Liabilities,  Quick  Assets  (i.e., 
current  assets  minus  inventories)  to  Current  Liabilities,  Total  Debt  to  Total  Assets, 
Long-term  Debt  to  Net  Assets,  Total  Debt  to  Net  Worth,  Long-term  Debt  to  Net 
Worth, Long-term Debt to Net Assets and Net Profit before Interest and Taxes (i.e., 
NBIT) to Interest. 
Fundamental classification Ratios under this classification are grouped according to 
a basic function relevant to financial analysis. Four such functional groups have been 
generally recognised. 
a)  Liquidity Ratios are ratios which measure a firm's ability to meet its matur-
ing  short-term  obligations.  The  most  common  ratio  indicating  the  extent  of 
liquidity or lack of it are current ratio and quick ratio. 
b)  Leverage  Ratios  are  ratios  '  which  measure  the  extent  to  which  a  firm  has 
been  financed  by  debt.  Suppliers  of  debt  capital  would  look  to  equity  as 
margin of safety, but owners would borrow to maintain control with limited 
investment.  And  if  they  are  able  to  earn  on'  borrowed  funds  more  than  the 
interest  that  has  to  be  paid,  the  return  to  owners  is  magnified.  (This  aspect 
has  been  elaborated  and  illustrated  in  the  next  Unit  of  Financial  and 
Operating  Leverage).  Example  include  debt  to  total  assets,  times  interest 
earned, and charge coverage ratios. 
c)  Activity Ratios are ratios which measure the effectiveness with which a firm 
is using its resources. Example include Inventory. turnover. Average collec-
tion period, Fixed assets turnover, and Total assets turnover. 
d)  Profitable  Ratios  are  ratios  which  measure  management
'
s  overall  effective-
ness as shown by the returns generated on sales and investment. Examples  
 
 
 
could  be  profit  (net  or  gross)  margin.  Net  Profit  to  total  assets  or  ROI,  Net 
profit after taxes to Net worth. 
18 
Financial and 
Investment Analysis 
 
One more class of ratios is sometimes added to the four groups specified above. This 
is  called  the  `Market  Value  `group  of  ratios,  which  relate  investors
'
  expectations 
about  the  company
'
s  future  to  its  present  performance  and  financial  conditions. 
Examples would cover Price-earnings (PE) and Market/book-value ratios.  
The  fundamental  classification  is  probably  the  most  extensively  used  mode  of 
presenting financial statement analysis. 
Activity 12.1 
Table  12.1  on  next  page  lists  21  ratios  being  computed  by  the  Bombay  Stock 
Exchange. Tick the board class to which each of the 21 ratios belongs to in the blank 
columns of the Table. 
You must have begun grouping the ratios on the basis of what you have learnt about 
them. However, we would help you in this exercise. The very first ratio and for that 
matter  the  first  three  ratios  are  figured  on  net  worth  which  is  a  parameter  of  great 
interest  to  proprietors.  Nevertheless,  the  ratios  do  not  reflect  either  of  the  four 
fundamental  ratios  viz.,  liquidity,  leverage,  profitability  and  activity.  Also,  they  are 
not  primary  since  they  do  not  measure  final  profitability  of  capital  (or  investment) 
committed  to  the  firm.  Hence,  ratios  1  to  3  are  secondary  and  owner-oriented.  Of 
course,  they  do  reveal  one  fundamental  aspect  viz.,  stability.  The  Bombay  Stock 
Exchange classifies these ratios under the board group of Stability ratios. 
This exercise of classification has given you an idea about ratios, which are relevant 
for  controlling  business  activities,  and  the  ratio  in  which  top  management  would  be 
particularly interested. Obviously, they are activity ratios which we have classified as 
`management-oriented'  ratios.  The  primary  ratio,  which  is  of  universal  relevance  to 
top  management,  will  be  specifically  explained  regarding  its  rationale  and  con-
struction in this unit. 
You have noticed that the basic flow of activities of a business firm follows a certain 
sequence: 
Investment  decision    financing  of  investment    acquisition  of  resources 
deployment of resources  disposal of output  reinvestment of surplus. 
This sequence needs some explanation. A typical business firm would take a decision 
to  invest  after  an  analysis  of  the  projected  inflows  and  outflows  of  the  project.  This 
will be followed by a plan to finance the project, which may be debt finance and / or 
proprietors'  own  funds.  Finance  will  then  be  utilized  to  build  facilities  and 
commercial  output  will  be  obtained  as  per  the  project  schedule  (assuming  there  are 
no  over-runs  and  delays)  Sales  revenue  will  follow  the  disposal  of  the  output  and 
after  meeting  all  costs  and  expenses  (including  tax  and  finance  charges),  a  decision 
will be taken to compensate the owners (dividend decision) and reinvest the balance, 
if any. 
You will appreciate that the cycle of business activities commences with the deploy-
ment  of  recourses  and  terminate  in  the  disposal  of  output.  A  business  would  like  to 
have  as  many  such  cycles  as  possible  during  a  time  period,  say  a  year.  Apart  from 
increasing the number of such cycles during a time period the management would be 
interested  to  reduce  costs  and  expenses  to  the  minimum  at  each  stage  of  the  cycle. 
Accounting  ratios,  which  belong  to  the  category  of  management-oriented  activity 
ratios, enable business firms to exercise control over operations. The next section of 
this unit focuses attention on these ratios. 
 
 
 
Ratio Analysis
 
 
Table 12.1 : Table listing 21 ratios being computed by the Bombay Stock Exchange 
Broad Classes of Ratios 
        Ratios Primacy Interest Groups Fundamental
  Primary  Secondary Management  Owner  Lender  Liquidity Leverage  Profitability Activity
1  Net worth to Total                   
2  Net block to Net worth                   
3 
Total liabilities to Net worth 
                 
4  Current Assets to Current liabilities                   
5  Quick Assets to Current liabilities Net                   
6  Sales to Total assets                   
7  Net Sales to Net worth + Debentures                   
8  Net Sales to Plant & Machinery at Cost                   
9  Sundry Debtors to Average Daily Sales                   
10  Net profit to Total Capital Employed                   
11  Net Profit + Debenture Interest to Net worth + 
Debentures 
                 
12 
Net profit to Total Assets 
                 
13  Depreciation Reserve to Gross Block                   
14  Depreciation Provision to Net Block Tax                   
15  Tax Provision to Pre-tax profit                   
16  Preference Capital + Debentures to Equity 
Capital 
                 
17  Debentures to Net worth + Debentures                   
18  Preference Capital to Net worth + Debentures                   
19  Equity Capital + Reserve to Net worth + 
Debentures 
                 
20  Times Debenture Interest covered                   
21  Times Preference Dividends covered 
         
                 
19 
 
 
Financial and 
20 
Investment Analysis 
 
12.3  THE NORMS FOR EVALUATION 
You  may  just  be  wondering  as  to  how  we  control  activities  through  ratios.  The 
answer is not difficult to seek. Ratios that we have identified for control of activities 
measures relationships between key elements at any point of time. Such a measure is 
then  compared  with  some  `norm'  and  the  causes  for  deviation  investigated.  An 
action-plan  is  then  prepared  and  implemented  to  remove  the  cause(s).  For  example, 
Nagpur  Textile  Mills  Ltd.  reports  89  days  of  inventories  held  on  an  average  against 
net sales during the year 2002. Now, how do we judge if the figure of `89 days' is just 
about  okay  for  a  firm  like  Nagpur  Textile  Mills  Ltd.?  The  following  appear  to  be 
the ways for evaluating this figure: 
a)  Against a trend over time: The following data may be observed for Nagpur 
Textile Mill: 
Year  Average No. of days of inventory* 
1998  90 
1999  118 
2000  115
2001  107
2002  98
 
b)  Against  an  average  of  some  past  period:  The  relevant  data  for  Nagpur 
Textile Mill may be evaluated on the basis of the mean of average number of 
days viz., (90 +118 + 115 + 107 + 89)/5 = 519/5 = 104 days approximately.  
c)  Against an industry average: A certain number of firms chosen (randomly 
or  otherwise)  from  textile  industry,  to  which  Nagpur  Textile  Mill  Ltd. 
belongs, may be used to compute the industry average as a norm. Thus; data 
relating to average number of days of inventory of, say, 20 textile units of the 
size  and  type  of  Nagpur  Textile  Mills  Ltd.  may be averaged for a particular 
year for which Nagpur Textile's ratio is being evaluated. Period averages for 
firms may also be used to obtain a grand mean for evaluation. 
d)  Against an average of a cross-section sample: The Reserve Bank of India 
publishes  financial  statistics  of  joint companies. Their sample for the period 
1998-99  to  2000-01  included  1927  public  limited  companies  (with  paid  up 
capital of Rs 100 crores and above). Year-wise averages for corporate sector 
as  a  whole  are  available.  In  a  similar  manner,  the  ICICI  publishes  elaborate 
data  on  financial  performance  of  companies  assisted  by  them.  The  latest 
study  pertains  to  the  year  1984-85  and  included  417  companies  in  different 
industry  groups.  This  sample  covers  around  50  per  cent  of  the  total  private 
corporate  sector  in  terms  of  paid-up  capital.  Year-wise  average  for  industry 
groupings are available. 
 
 
 
Ratio Analysis
Activity 12.2 
21 
 
 
The  Study  of  Financial  Performance  presents  the  following  data  with  regard  to 
inventory turnover of 43 textile companies. 
Inventory as % of sales 
Year  34 composite 
mills 
9 spinning 
mils 
Total 43 
mils 
1997-98  24.8  25.1  24.8 
1998-99  26.5  24.2  26.3 
1999-2000  26.4  24.2  26.1 
2000-2001  26.0  22.9  25.6 
2001-2002  24.4  23.7  24.3 
Comment  on  the  suitability  of  the  given  data  to  evaluate  the  inventory  position  of 
Nagpur Textile Mills Ltd. in the year 2002. 
. 
12.4  COMPUTATION AND PURPOSE 
A  summary  of  management  -  oriented  activity  ratio  are  given  below. This describes 
the ratios and also their main purposes. 
Activity Ratios (Secondary Group) 
  Ratio  Computation 
Method 
Purpose(s) 
I      Cost of Goods Sold and Gross Margin Analysis 
1.  Cost of Goods 
sold 
Cost of Goods 
sold/ Net Sales 
2.  Gross Margin  Net Sales - Cost 
of goods sold/net 
sales 
Provide an idea of gross margin 
which in turn would depend on 
relationship between prices, 
volumes and costs 
II      Profit Analysis 
3.  Net Margin  Net Profit / Net 
Sales 
Reflects management's ability to 
operate business to recoup all 
costs & expenses (including 
depreciation, interest and taxes) 
and also to provide a compensation 
to owners 
4.  Operating Margin  Net operating 
Income before 
Interest and 
Taxes/Net Sales 
Provides a view of operating 
effectiveness 
5.  Post-tax Margin  Net Profit after 
tax but before 
Interest*/ Net 
Sales 
Shows after-tax margin to both 
owners and lenders. 
*  The numerator of post-tax margin may be obtained by adding back to net 
profit the after-tax cost of interest on debt which is pre-tax interest times 
(1-tax rate) 
 
 
Financial and 
 
22 
Investment Analysis 
    Ratio  Computation Method  Purpose(s) 
III   Expense Analysis 
6 Operating Ratio  Operating expenses / 
Net sales 
 
Reflects the incidence of 
operating expenses (which are 
defined variously for different 
costing systems) 
IV    Contribution Analysis 
7 Total contribution  Net sales - directly 
variable costs / Net 
Sales 
Indicates the total margin 
provided by operations towards 
fixed costs and profits of the 
period 
V     Management of Capital 
8 Gross Assets  Net Sales/ Total assets 
Effectiveness of the use of all 
assets viz., current and non-
current. 
 
9 Net Assets 
turnover 
Net Sales / Total assets - 
current liabilities  
Effectiveness of assets 
employed on the assumption 
that current liabilities are 
available to the business as a 
matter of course, and will 
effectively reduce the assets 
required to be employed 
10 Inventory turnover  Net Sales or Cost of 
Goods Sold / Average 
Inventories 
Shows the number of times 
inventory replenishment is 
required during an accounting 
period to achieve a given level of 
sales 
11 Receivables 
turnover 
Net Sales / average 
receivables 
Amount  of  trade  credit  allowed 
and  revolved  during  a  year  to 
achieve a level of sales. 
 
12 Average collection 
period 
Average Receivables 
X 365
 
Net Sales 
 
Evaluates the effectiveness of 
the credit period granted to 
customers. 
Activity 12.3 
State whether the following statements are True or False : 
        True             False
         
         
        True             False
         
 
        True             False
         
        
        True             False
         
 
        True             False
         
 
        True             False
         
        True             False
         
        True             False
a) 
b) 
c) 
d) 
e) 
Cost of goods sold + Gross Margin = Net Sales 
Net margin is the only measure of profitability of a 
manufacturing firm 
Net operating Income (NOI) is the same as Earnings 
before Interest and Taxes (EDIT) 
The numerator of the ratio called Post-tax margin is 
obtained as follows Net profit after interest, depreciation 
and taxes + Interest (1-tax rate) 
In calculating the operating ratio, all firms employ a  
standard definition of operating expenses. 
f)  The ratio called total contribution can also be 
calculated as follows : Fixed costs/Net sales - Variable 
costs 
g)  Net assets turnover is calculated b y   Net sales/ 
Net Fixed Assets + Net Current Assets + Other assets 
h)  In computing the inventory turnover ratio, cost of goods 
sold is a better numerator than net sales 
 
 
Ratio Analysis
23 
 
 
i) 
j) 
The ratio called Average collection period evaluates 
all aspects for credit policy 
Net sales are gross sales as reduced by returns, rebates and excise duty 
     True          False 
            
     True          False 
 
You  have  been  through  a  review  of  the  select  ratios,  which  focus  managerial 
attention  on  some  of  the  critical  aspects  of  a  firm's  activities.  You  may  acquire  a 
greater degree of confidence in the use of the ratios summarised above if you review 
their  construction  process  also.  What,  therefore,  follows  is  an  example  relating  to  a 
company from the paper industry. You have to calculate the twelve ratios tabulated in 
this section of the unit. 
Activity 12.4 
Compute the twelve activity ratios for the three years with the help of the following 
information,  which  has  been  extracted  from  the  annual  accounts  of  Mahud  Paper 
Industries  Ltd.  Also  offer  you  comments.  On  the  basis  of  the  limited  information 
available with you what areas would you identify for control? 
  Year ending on 31
st
 March   
  20012002                       2003  2004 
    (Amount in Rs. Crores)   
Balance Sheet (Select items)     
1.  Current Assets 
 
38.28  39.74  52.23 
2  Of which Inventories  17.89 21.70  22.33  26.37 
2A  Of which S. Debtors  6.91 10.17  10.49  10.93 
3  Net Fixed Assets    47.68  47.18  50.08 
4  Total  Assets    90.26  91.21  106.60 
5.  Current Liabilities    41.95  43.87  45.02 
Profit & Loss Statement (Select Items) 
6  Net Sales           95.09  113.60  155.29 
7.  Cost of goods sold  80.88  93.12  130.65 
8.  Directly  variable expenses (Wages, salaries and
direct manufacturing expenses) 
 
         61.79 
 
  73.20 
 
101.41 
9.  Interest             4.81  4.54  5.44 
10.  Operating Profit (after depreciation and
 
interest)              .17        .39  2.60 
11  Non-operating profit    4.34  2.49  3.27 
12.  Pre-tax-profit    4.51  2.88  5.87 
13.  Provision for taxes              .80 
14.  Net Profit    4.51  2.88  5.07 
12.5  MANAGERIAL USES OF THE PRIMARY RATIO 
The  return  on  investment  has  been  aptly  regarded  as  a  primary  ratio  because  it 
specifies  the  relative  net  profit  earned  on  the  capital  employed.  This  is  one  single 
measure where the final outcome of all business activities gets recorded. It provides 
not  only  a  vehicle  for  measuring  relative  business  efficiency  but  also  focuses 
attention  on  whether  an  adequate  return  has  been  earned  in  accordance  with  the 
expectations of the investors on the capital contributed by them. 
In  many  cases  it  becomes  necessary  to  disaggregate  an  organisation  into  divisions 
and  the  return  on  divisional  investment  can  be  employed  to  gauge  the  divisional 
performance 
 
 
Financial and 
However, it may be stated that the concept of ROI (Return on Investment) is not free 
from ambiguity. This is primarily due to the fact that numerator and denominator of 
this  ratio  i.  e.  return  and  capital  are  subject  to  differing  interpretations.  As 
standard definitions of these two basic terms do not exist as yet, the firms define the 
terms  according  to  their  own  thinking.  While  some  firms  may  define  investment 
quite broadly, others may define it narrowly. As a consequence of this, variations of 
ROI are found in practice, e.g.; ROA (i.e. Return on Assets). 
24 
Investment Analysis 
 
You  will  appreciate  these  variations  better  as  you  go  along  with  the  discussion,  and 
the illustrations regarding the analysis of ROI. 
You may note that the use of ROI which in fact is a combination of some other ratios 
was pioneered by Du pont. That is why it is sometimes known as the Du point system 
of Financial control. 
The Du pont chart is presented in Figure 12.1 and it may be of interest to you to note 
the  manner  in  which  the  various  key  elements  converge  into  a  single  measure  viz:, 
the Return on Investment: The right block charts out the investment made in various 
assets  and  the  left  block  depicts  the  earnings  and  costs  flowing  in  and  out  of  the 
utilisation  of  these  assets.  Both  the  net  income  and  total  assets  are  then  related  to 
sales to finally yield the single measure, which peaks the pyramid viz., the ROI. 
You  will  notice  that  Cash,  Accounts  Receivable,  Marketable  Securities  and  Inven-
tories  shown  on  the  right  block  at  the  bottom  are  added  up  as  current  assets,  which 
then are added (leftward) to fixed
,
 assets. This aggregates into total assets, which are 
then divided (rightward) into sales to produce a ratio shown as Total Asset Utilisation 
or Total Assets Turnover. A similar kind of measure based on income emerges from 
the left block. The bottom four boxes at left sum up Interest Taxes, Depreciation and 
other operating costs into Total Costs which are then deducted (rightward) from Sales 
to  yield  Net  Income:  The  Net  Income  is  divided  (leftward)  into  sales  to  generate
,
  a 
ratio  known  as  the  Net  Margin.  The  two  penultimate  measures  viz.,  Total  Asset 
Utilisation and Net Margin are then 
 
 
 
 
Ratio Analysis
multiplied together to figure out the Return on Investment at the top box of the chart.  
25 
 
 
The  return  on  investment  may  be  expressed  as  a  relationship  in  the  following 
formula: 
ROI = Total Asset Turnover X Net Margin 
 
You may further notice that total assets may be financed partly by owners' funds 
(known as equity) and partly by borrowed funds (recognised as debt). Given the 
proportion of assets financed by equity, an appropriate measure of Return on Equity 
(ROE) may also be derived from the ROI. This will be given by 
ROE = ROI/Proportion of Total Assets financed by Equity 
 
The term Total Assets / Equity may be recognised as Equity Multiplier and then ROE 
will be equal to ROI times the Equity Multiplier. 
Versions of ROI 
A  large  number  of  variations  of  ROT  are  found  in  practice,  depending  upon  how 
Investment  and  Return  are  defined  Investment  may  be  defined  to  include  any 
of the following: 
1.  Gross capital employed  Net  fixed  assets  +  total  current  assets  +  other 
assets 
2. 
3. 
Net capital employed  Net  fixed  assets  +  net  current  assets  +  other 
assets 
Proprietors' net capital  Total  assets  -  (Current  liabilities  +  long-term 
employed  borrowing + any other outside funds) 
4.    Average capital employed  Opening + closing balances of capital, reserves, 
accumulated depreciation and borrowings/2 
Similarly, Return may be defined to included any of the following: 
1  Gross profit 
2  Profits before depreciation, interest and taxes (PBDIT) 
3  Profits  before  depreciation,  interest  and  taxes  (excluding  capital  and 
extraordinary nary profits): PBDIT 
4  Profits before tax (PBT) 
5  Profits before tax (excluding capital and extraordinary profits): PBT*  
The following versions of ROI are used in practice : 
1.  Gross Return on Investment  =  Gross Profit/Total Net Assets 
2.  Net Return on Investment  =  Net Profit/Total Net Assets 
3.  Return on Capital Employed  =  Profit before tax + Interest/Net Worth 
  (ROCE)       + Interest bearing debt. 
4.  ROI (based on PBDIT) =  PBDIT as per cent of average capital
        Employed 
 
 
Financial and 
5.  ROI (based on PBT)  =  PBT average of capital and 
        as per cent of reserves. 
26 
Investment Analysis 
 
Activity 12.5 
The  following  particulars  have  been  selectively  taken  from  the  annual  accounts  of 
Kavali Woolen Mills Ltd., for the years 2001, 2002 and 2003. 
Particulars  Years ending on March 31st
  2001 2002  2003
Income Statement 
1. Operating profit
 
18.75
 
      22.78 
 
28.48
2. Interest  6.74 8.90  10.78
3. Gross Profits (1- 2) 12.01 13.88  17.70
4. Depreciation  7.66 8.84  8.84
5. Profit before tax (PBT) : (3 - 4) 4.35 5.04  8.86
6. Tax  0.05 .01  .01
7.  Net Profit (5 - 6)  4.30  5.03  8:76 
Balance Sheet 
1  Fixed Assets (gross) 
 
94.61 
 
112.28 
 
162.16 
2.  Accumulated Depreciation 26.90 34.34  38.26
3  Net fixed assets (1 - 2 + capital work in 
progress) 
75.16  107.23  127.66 
4  Investments  8.48 10.12  12.29
5  Current Assets 42.61 59.97  75.17
6  Current Liabilities and Provisions 30.95 36.53  56.30
7  Net Current Assets (5 - 6) 11.66 23.44  18.87
8  Total Net Assets (3 + 4 + 7) Financed by  95.30  140.79  158.82 
9  Net worth  33.97 39.41  53.16
10  Borrowings  61.33  101,38  105.66 
  of which long-term  39.27  71.09  63.61 
a) 
b) 
Compute Gross Return on Investment, Net Return on Investment, and Return 
on Capital Employed for the three years. What are your conclusions? 
Also derive the Return on Equity from the ROI (i.e., Net return on Total Net, 
Assets). 
Illustration 12.1 
EVERLIGHT COMPANY LIMITED 
Comparative Balance Sheet 
December 31, Year 1 and Year 2 
 
  December 31st 
Year 1                   Year 
Assets  Rs.   Rs.
Cash  1,000   1,200
Bank  6,000   7,500
Accounts Receivable 12,600   14,800
Inventory  18,400   20,500
Repayments  800   850
Land and Building  20,000   24,000
 
 
Ratio Analysis
27 
 
 
Plant and Machinery  30,000    32,000 
  88,800    1,00,850 
Liabilities and Shareholders' 
Equity 
Bills Payable 
 
4,000 
   
7,850 
Accounts Payable  6,400    6,000 
Other Current Liabilities  2,000    2,200 
Debentures (10%)  20,000    18,000 
Preference Shares (12%)  10,000    10,000 
Ordinary Shares. Rs. 10 each  40,000    50,000 
Retained Earnings  6,400    6,800 
  88,800    1,00,850 
Income and Retained Earnings Statement of the Year Ended December 31, Year 2 
Sales Revenue      Rs. 60,000
Less Expenses: 
Cost of Goods Sold 
Rs. 28,000 
Selling  8,000 
Administrative  6,000 
Interest  2,000 
Income Tax  6,400 
Total Expenses  50,400
Net Income    9,600
Less Dividend : 
Preferred 
1,200 
Ordinary  8,000 
  9,200
Increase in Retained Earning for Year 2      400
Retained Earnings, December 31, Year 1      6,400
Retained Earnings, December 31, Year 2      6,800
With the above information, let us compute the following ratios 
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
j) 
k) 
l) 
m) 
n) 
Rate of Return on Assets 
Profit Margin (before interest and related tax effect) 
Cost of Goods Sold to Sales Percentage 
Selling Expenses to Sales Percentage 
Operating Expense Ratio 
Total Assets Turnover 
Accounts Receivable Turnover 
Inventory Turnover 
Rate of Return on Ordinary Share Equity 
Current Ratio 
Quick Ratio 
Long-Term Debt Ratio 
Debt Equity Ratio 
Times interest Charges Earned 
 
 
Financial and 
28 
Investment Analysis 
 
o) 
p) 
q) 
Earnings per (Ordinary) Share 
Price Earning Ratio   
Book Value per Ordinary Share   
The income tax rate is 40 per cent. The market price of an ordinary share at the end 
of Year 2 was Rs. 14.80. 
Let us take all these ratios one by one. 
a)  Rate of Return on Assets. 
=  
Rs. 9,600 + (1- .40) (Rs. 2, 000)  = 11.39 per cent 
   .5 (Rs. 88,800 + Rs.1,00,850) 
b)   Profit Margin Ratio 
=  
Rs. 9,600 + (1-40) (Rs. 2,000) = 18 per cent 
   Rs. 60,000 
c)   Cost of Goods Sold to Sales Percentage 
= 
 Rs. 28,000 = 46.67 per cent 
   Rs. 60,000 
d)   Selling expenses to Sales Percentage 
            
=  
Rs. 8,000   = 13.33 per cent 
   Rs. 60,000 
e)  Operating Expense Ratio 
             
=  
Rs. 8,000+ Rs. 6,000    = 23.33 per cent 
         Rs. 60,000 
f)  Total Asset Turnover 
              
= 
 Rs. 60,000             = .63 times per year 
                .5 (Rs. 88,800 + Rs.1,00,850)  
g)   Accounts Receivable Turnover 
          
=  
Rs. 60,000               = 4.3 8 times per year 
             .5 (Rs. 12,600 + Rs. 1,4,800) 
h)  Inventory Turnover Ratio  
            
= 
 Rs.28,000                      = 1.44 times per year 
     .5 (Rs. 18,400 + Rs. 20,500) 
i)   Rate of Return or Ordinary Share Equity 
     
= 
 Rs. 9,600 - Rs. 1,200        x 100 = 16.28 per cent 
     .5 (Rs. 46,400 + Rs. 56,800) 
j)   Current Ratio 
  December 31, Year 1 : Rs.38,800 = 3.13:1  
                                                  Rs.12,400 
   
 
 
 
 
Ratio Analysis
December 31, Year 2 : Rs. 44,850  = 2.79 : 1 
29 
 
 
                                                 Rs
.
16
,
050 
k)         Quick Ratio : 
            December 31, Year 1 : Rs.19,600 = 1.56 :1 
                                                 Rs.12,400 
            December 31, Year 2:  Rs.23500  =  1.46 :1 
                                                 Rs.16,050 
l)  Long-term Debt Ratio 
  December 31, Year 1: Rs.20,000  =  24.86 per cent 
                                                Rs. 80,400 
  December 31, Year 2: Rs. 18,000 =  21.23 per cent 
                                                Rs. 84,800 
m)  Debt Equity Ratio 
  December31, Year 1 : Rs.20,000      = 43.1 
                                      Rs.46,400 
  December 31, Year 2 : Rs.18,000     = 31.69 
                                        Rs. 56,800 
(Equity  may  or  may  not  include  retained  earnings.  Here,  retained  earnings 
have been included) 
n)   Times Interest Charges Earned 
  Rs. 9,600 + Rs. 6,400 + Rs: 2,000  =  9 times  
                      Rs: 2,000 
o)    Earnings per Ordinary Share (EPS)  
  December 31 Year 2: 
       
=
       Rs. 8,40 0        = Rs.1.87           
             .5 (4000 + 5000) 
p)   Price-Earnings Ratio  
  December 31, Year 2: 
 
=
   14.80         = 7.91 times 
                    1.87 
q)   Book Value per Ordinary Share 
  December 31, Year 1 : = Rs. 46,400 = Rs.11.60  
                                              4,000 
  December 31, Year 2 : = Rs. 56,800 = Rs.11.36  
                                             5,000 
 
 
 
 
 
 
Financial and 
Illustration 12.2 
30 
Investment Analysis 
 
The  information  contained  in  Tables  12.1  to  12.4  relate  to  a  company  for  the  year 
2002 and 2003, we shall attempt a comprehensive analysis. 
Table 12.1 
Megapolitan Company Ltd. 
Condensed Balance Sheet for the years ending 
December 31, 2003  and December 31, 2002 
  Increase or (Decrease)  Percentage of 
total Assets 
 
 
2003 
Rs. 
2002 
Rs. 
Rs.  %  2003 2002
ASSETS 
Current Assets 
 
1,95,000
 
1,44,000
 
51,000 
 
35.4 
 
41.1
 
33.5
Plant and equipment (net)    2,50,000 2,33,500 16,500  7.1  52.6 54.3
Other Assets   30,000  52,500  (22,500) (42.9)  6.3 12.2
Total  4,75,000 4,30,000 45,000  10.5 100.0100.0
LIABILITIES & CAPITAL 
Liabilities: 
       Current liabilities 
 
 
56,000 
 
 
47,000 
 
 
9,000 
 
 
(19.1) 
 
 
11.8
 
 
10.9
       12% Debentures  1,00,000 1,25,000 (25,000) (20.0) 21.1   29.1
       Total  1,56,000 1,72,000 16,000  (9.3)  32.9 40.0
 
Shareholder's equity 
   
 
   
        9% preference shares              
                               (Rs. 100 each)
50,000  50,000 
   
10.5  11.6 
        Equity shares (Rs. 10 each)  1,25,000 1,00,000 25,000  25.0  26.3 23.2
        Premium on issue of shares  35,000  20,000  15,000  75.0    7.4    4.7
        Retained earnings  1,09,000 88,000  21,000  23.9  22.9 20.5
        Total shareholders equity  3,19,000 2,58,000 61,000  23.6  67.1 60.0
        Total  4,75,000 4,30,000 45,000  10.5 100.0100.0
Table 12.2 
Income statement for the years ended December 31, 2003 and December 31, 2002 
  Increase or (Decrease)  Percentage of net 
Sales
  2003  2002  Rs.  %  2003  2002
  Rs. Rs.  
Net sales  4,50,000 3,75,000 75,000 20.2  100.0100.0
Cost of goods sold  2,65,000 2,10,000 55,000 26.2  58.9 56.0
Gross profit on sales  1,85,000 1,65,000 20,000 12.1  41.1 44.0
Operating expenses: 
Selling  58,500 37,500  21,000
 
56.0  13.0 10.0
Administrative  63,000 47,500 15,500 32.6  14.0 12.7
Total  1,21,500 85,000 36,500 42.9  27.0 22.7
Operating income  63,500 80,000 (16,500) (20.6)  14.1 21.3
Interest expense  12,000 15,000 3,000 (20.0)  2.7 4.0
 
 
Ratio Analysis
Income before income 
taxes 
51,500  65,000  (13,500)  (20.8)  11.4  17.3 
Income taxes  14,000  20,000  6,000  (30.0)  3.1  5.3 
Net Income  37,500  45,000  (7,500)  (16.7)  8.3  12.0 
31 
 
 
Table 12.3 
Statement of Retained Earnings 
for the years ended December 31, 2003 and December 31, 2002 
    Increase or (Decrease) 
2003 2002 Rs. %
  Rs. Rs. Rs.  
Retained earnings, beginning of year  88,000 57,500 30,500 53.
Net Income  37,500 45,000 (7,500) (16.7) 
  1,25,500 1,02,500 23,000 22.
Less : Dividends on equity shares  12,000 10,000 2,000 20.
Dividends on preference shares  4,500 4,500  
  16,500 14,500 2,000 13.
Retained earnings, end of year  1,09,000 88,000 21,000 23.
Table 12.4 
Schedule of Working Capital 
as at December 31, 2003 and December 31, 2002 
    Increase  or
(Decrease) 
  Percentage of 
total current items 
  2003 2002  Rs. %           2003 2002 
Current Assets:  Rs.  Rs.         
Cash  19,000  20,000  (1,000)  (5.0)  9.7  13.9 
Receivables (net)  58,500  43,000  15,500  36.0 30.0  29.9 
Inventories  90,000  60,000  30,000  50.0 46.2  41.6 
Prepaid expenses  27,500  21,000  6,500  31.0 14.1  14.6 
Total current assets  1,95,000  1,44,000  51,000  35.4 100.0  100.0 
Current liabilities             
Bills Payable  7,300  5,000  2,300  46.0 13.1  10.7 
Accounts payable  33,000  15,000  18,000  120.0 58.9  31.9 
Accrued liabilities  15,700  27,000  (11,300)  (41.9) 28.0  57.4 
Total  current liabilities 56,000  47,000  9,000  19.1 100.0  100.0 
Working capital  1,39,000  97,000  42,000  43.3   
Using  the  information  in the above Tables let us consider analyses that would be of 
particular interest to: 
  Equity shareholders 
  Long-term creditors 
  Short-term creditors 
Equity  shareholders  :  Equity  shareholders,  present  and  potential,  look  primarily  to 
the company's record of earnings. They are therefore interested in relationships such 
as earnings per share (EPS) and dividends per share. Earnings per share are computed 
by  dividing  the  income  available  for  equity  shareholders  by  the  number  of  equity 
shares outstanding during the year. Any preference dividend must be subtracted from 
the net income to ascertain the income available to equity shareholders. 
 
 
Financial and 
 
 
  2003 
Rs. 
2002 
Rs. 
Net Income  37,500  45,000 
Less Preference dividend  4,500  4,500 
Income available to equity shareholders  33,000  40,500 
Equity shares outstanding during the year  12,500  10,000 
Earnings per (Equity) share  2.64  4.05 
32 
Investment Analysis 
 
While dividend may be of prime importance to some equity shareholders, it may not 
be  so  for  other  shareholders.  Some  shareholders  may  be  interested  in  receiving  a 
regular  cash  income,  while  others  may  be  more  interested  in  securing  capital  gains 
through  rising  market  prices.  In  comparing  the  merits  of  alternative  investment 
opportunities,  we  should  therefore  relate  earnings  and  dividends  per  share  to  the 
market, value of shares. Dividends per share divided by market price per share would 
give  yield  rate  on  equity  shares.  Dividend  yield  is  of  particular  importance  to  those 
investors  whose  objective  is  to  maximise  the  dividend  income  from  their 
investments. 
Earnings  performance  of  equity  shares  is  often  expressed  as  price  earning  ratio  by 
dividing  the  market  price  per  share  by  the  annual  earnings  per  share.  Thus  a  share 
selling for Rs. 40 and having earnings of Rs. 5 per share in the year just ended may 
be stated to have a price-earning ratio of 8 times. 
Assuming that the 2,500 additional equity shares issued by the company on January 
1, 2003 received the full dividend of 96 paise in 2003, and further assuming the price 
of the equity shares at December 31, 2002 and December 31, 2003 as given in Table 
12.5, earnings per share and dividend yield may be summarised as follows. 
Table 12.5 
Earnings and dividends per equity share 
Date  Assumed 
Market 
value per 
share 
Earnings 
per share 
Price-
earnings 
ratio 
Dividend 
per share 
Dividends 
yield % 
  Rs.  Rs.       
Dec. 31, 2002  18  4.05  4.44  1.00  5.56 
Dec. 31, 2003  14  2.64  5.30  0.96  6.86 
The decline in market value during 2003 presumably reflects the decrease in earnings 
per  share.  The  investors  evaluating  these  shares  on  December  31,  2003  would 
consider  whether  a  price  earning  ratio  of  5.30  and  the  dividend  yield  of  6.86  repre-
sented a satisfactory situation in the light of alternative investment opportunities. We 
can also calculate the book value per share. 
Table 12.6 
Book value per equity share 
 
.
2003 
Rs. 
2002 
Rs. 
Total shareholder's equity  3,19,000  2,58,000 
Less: Preference shareholders equity  50,000  50,000 
Equity of ordinary shareholders  2,69,000  2,08,000 
Number of shares outstanding  12,500  10,000 
Book value per equity share  21.52  20.8 
 
 
 
Ratio Analysis
33 
 
 
1. 
2. 
Book value indicates the net assets represented by each equity shares. This informa-
tion  is  helpful  in  estimating  a  reasonable  price  for  company  shares,  especially  for 
small companies whose shares are not publicly traded. However, the market price of 
the shares of a company may significantly differ from its book value depending upon 
its future prospects with regard to earnings. 
Long-term  Creditors:  Long-term  lenders  (or  creditors)  are  primarily  interested  in 
two factors: 
 The firms ability to meet its interest requirements. 
 The firms ability to repay the principal of the debt when it falls due. 
From the viewpoint of long-term creditors, one of the best indicators of the safety of 
their  investments  may  be  the  fact  that,  over  the  life  of  the  debt,  the  company  has 
sufficient  income  to  cover  its  interest  requirements  by  a  wide  margin.  A  failure  to 
cover  interest  requirements  may  have  serious  repercussions  on  the  stability  and 
solvency  of  the  firm.  A  common  measure  of  the  debt  safety  is  the  ratio  of  income 
available  for  the  payment  of  interest  to  annual  interest  expenses,  called  number  of 
time  interest  earned.  This  computation  for  Megapolitan  Company  would  be  as 
follows: 
Number of Times Interest Earned 
    2003 
Rs.
2002 
Rs.
Operating income (before interest and income taxes)  a)  63,500  80,000 
Annual interest expense  b)  12,000  15,000 
Times interest earned (a - b)    5.29  5.33 
Long-term creditors are interested in the amount of debt outstanding in relation to the 
amount  of  capital  contributed  by  shareholders.  The  debt  ratio  is  computed  by 
dividing long-term debt by shareholders equity as shown below: 
Debt Ratio 
    2003 
Rs. 
2002 
Rs. 
Long-term/debt  a)  1,00,000  1,25,000 
Shareholders equity  b)  3,19,000  2,58,000 
Debt ratio (a - b)    31.35  48.45 
From creditors point of view, the lower the debt ratio (or higher the equity ratio) the 
better it is. The lower debt means the shareholders have contributed a bulk of funds 
to the business, and therefore the margin of protection to creditors against shrinkage 
of assets is high. 
Short-term  Creditors:  Bankers  and  other  short-term  creditors  have  an  interest 
similar  to  those  of  the  equity  shareholders  and  debenture  holders  who are interested 
in  the  profitability  and  long-term  stability  of  the  business.  Their  primary  interest, 
however,  is  in  the  current  position  of  the  firm,  i.e.  its  ability  to  generate  sufficient 
funds  (working  capital)  to  meet  current  operating  needs  and  to  pay  current  debts 
promptly. 
The  amount  of  working  capital  is  measured  by  the  excess  of  current  assets  over 
current liabilities. What is important to short-term creditors is not merely the amount 
of working capital available but more so-is its quality. The main factors affecting the 
quality  of  working  capital  are  (i)  the  nature  of  the  current  assets  comprising  the 
working capital, and (ii) the length of time required to convert these assets into cash. 
In this context we can calculate the following ratios: 
1  Inventory turnover ratio 
2  Account receivable turnover ratio 
 
 
Financial and 
Activity 12.6 
34 
Investment Analysis 
 
In  illustration  12.2  we  analysed  the  financial  statements  (or  information)  from  the 
point of view of three groups of people and calculated certain ratios. But these ratios 
by  no  means  were  all  inclusive.  Certain  other  ratios,  useful  for  these  groups  of 
people,  can  also  be  computed.  For  example,  some  other  ratios  useful  for  equity 
shareholders  (present  and  prospective)  are:  Return  on  investment  (ROI),  Leverage 
ratio, and Equity ratio. 
In the context of illustration 12.2: 
a) 
b) 
Calculate and interprete all such ratios; and 
Calculate  and  interprete  some  ratios  for  groups  of  people  other  than  the  three 
above who might be interested in the company, e.g., preference shareholders 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
......................................................................................................................... 
 12.6  SUMMARY 
A large number of financial ratios are in use. They fulfill a wide variety of objectives 
and functions. Managers evaluate performance and exercise control, investors match 
their expectations, and lenders undertake credit approvals with their help. 
Control  of  business  activity  is  crucial  for  efficiency.  Managerial  action  follows 
meaningful information flows. Ratios provide a relevant basis, but all ratios may not 
serve  the  objective  of  control.  A  profit  performance  measure,  which  is  widely 
prevalent,  is  the  Return  of  Investment,  which  is  considered  a  primary  yardstick  for 
the measurement of operational efficiency. A decomposition of this measure into its 
key  elements  as  depicted  in  the  Du  pont  Chart  may  underline  areas,  which  need 
managerial  control  for  achieving  the  basic  goal  of  maximizing  the  return  on  capital 
employed in the enterprise 
A  series  of  secondary  ratios  has  also  been  found  useful  in  controlling  business 
activities.  Since  production  and  sales  are  the  key  parameters  in  an  efficient  conduct 
of  business  activities,  most  of  these  ratios  are  related  in  some  manner  to  sales  and 
output.  The  focus  is  on  revenues  and  costs  and  also  on  the  intensity  of  activity  as 
measured  by  the  various  turnover  ratios.  Going  deeper  into  the  conduct  of  business 
transactions, a larger number of relationships would be uncovered e.g. stores control, 
material  usage  control,  labour  hours  control,  machine  maintenance  quality  control, 
operating  cycle  control  and  so  on.  But  the  focus  in  this  unit  has  been  on  control  of 
activities through ratios emerging from informations externally presented. 
12.7  KEY WORDS 
Primary Ratio is of primary concern for management because it provides an overall 
measure  of  business  efficiency  and  is  measured  by  the  much  controversial  but 
nevertheless much widely employed Return on Capital Employed. 
PBDIT or Profits before depreciation, interest and taxes. This amounts to gross cash 
flow. 
Liquidity Ratios measure the short-term solvency of the firm. 
 
 
Ratio Analysis
Leverage  Ratios  measure  the  long-term  solvency  of  the  firm  and  also  provide  an 
idea of the equity cushion for long-term indebtedness. 
35 
 
 
Activity or Turnover Ratios measure the intensity with which resources of the firm 
are being utilised. 
Average  Capital  Employed  is  one-half  of  the  sum  total  of  opening  and  closing 
balances of capital, reserves, accumulated depreciation and long-term debt. 
Net Total Assets are obtained by deducting current liabilities from total assets. 
Equity  Multiplier  is  used  to  derive  the  Return  on  Equity  from  the  Return  on 
Investment, and is computed by dividing Equity into total assets. 
Ratio Norm is obtained for different kinds of ratios either as an average over time of 
the same firm, or an industry average or an average of a cross-section of firms, and is 
used to evaluate performance and for control purposes. 
Average  Collection  period  is  obtained  by  dividing  average  accounts  receivables 
with  net  credit  sales  and  multiplying  the  resultant  with  365  days  of  the  year.  It 
suggests the average credit period actually granted during a year. 
12.8  SELF-ASSESSMENT QUESTIONS/ EXERCISES 
1.  List the fundamental accounting ratios. Why are they called fundamental? 
2.  What are `Stability' ratios?. Can they be classed as fundamental ratios? 
3.  Enumerate  ratios  that  are  appropriate  for  controlling  business  activities.  What 
common criterion/criteria bring them together into one category? 
4.  Which of the control ratios are more important in your view? Why? 
5.  Point  out  the  major  limitation  of  Return  on  Capital  Employed  as  a  basis  for 
comparing one firm with another. 
6.  What is Return on Equity? Why do we measure it? 
7.  The  ratios  measuring  management's  overall  effectiveness  as  shown  by  the 
return generated on sales and investment are 
a)  Leverage 
b) 
c) 
d) 
a) 
b) 
c) 
d) 
e) 
a) 
b) 
c)  Gross 
d) 
a) 
b) 
ratios 
Profitability ratios 
Activity ratios 
Liquidity ratios 
8.  According  to  the  Du  pont  analysis,  firms  dealing  with  relatively  perishable 
commodities would be expected to have. 
High profit margins and high turnover 
Low profit margins and low turnover 
High profit margins and low turnover 
Low profit margins and high turnover 
None of the above 
9.   Inventory turnover is defined as_________divided by inventories. 
Cost of goods sold 
Accounts receivable 
profit 
Net operating income 
10.   The primary purpose of the current ratios is to measure a firm's 
Use of debt 
Profitability 
 
 
Financial and 
36 
Investment Analysis 
 
c)  Effectiveness 
d) 
e) 
Liquidity 
None of these 
11.  The  Du  pont  System  is  designed  to  help  pinpoint  the  trouble  if  a  firm  has 
relatively  low  rate  of  return  on  equity.  It  focuses  on  the  total  asset  turnover 
ratio, the profit margin, and the equity/asset ratio           True          False 
12.  Because  inventories  are  less  liquid  than  other  current  assets,  the  quick  ratio  is 
regarded as being a more stringent test of liquidity than die current ratio. .   
                  True            False
13.   Other  things  being  constant,  (assuming  an  initial  current  ratio  greater  than 
1.00) which of the following will not affect the current ratio? 
a)  Fixed assets are sold for cash 
b)  Long-term debt is issued to pay off current indebtedness 
c)  Accounts receivables are colleted 
d)  Cash is used to pay off accounts payable 
e)  A bank loan is obtained 
14.  The average collection period is found by dividing ________ with _________ 
and then dividing average sales per day into accounts _________. The average 
collection period is the length of time that a firm must wait after making a sale 
before it receives_________.   
15.  Individual ratios are of little value in analysing a company's financial 
condition. More important is the_________  of a ratio over time, and a 
comparison of the company's ratios to_________  ratios. 
16.  Prabhat Industries profit margin is 6 per cent, its total assets turnover ratio is 2 
times, and its equity/total assets ratio is 40%. The company's rate of return on 
equity is 
(a) 5%              (b) 7.5%            (c) 12%           (d) 30%           (e) 20% 
17.  If the net profit margin for a firm is 20%, and the ROI is 10%, the total assets 
turnover ratio must be 
(a) 1           (b) 2             (c) .5            (d) .2         (e) Not possible 
to compute. 
18.  Determine the sales of a firm with the financial data given below: 
  Current ratio 2.7 
  Quick ratio 1.8 
  Current liabilities Rs. 6,00,000 
  Inventory turnover 4 times 
a)  Rs. 34,00,000
b)  Rs.19,60,000
c)  Rs. 21,60,000 
d)  Rs.14,20,000
e)  Rs.16,40,000
19.  Complete  the  balance  sheet  and  sales  data  by  filling  in  the  blanks  using  the 
following financial data: 
Debt/Net worth  50% 
Acid Test ratio  1.4
Total Assets turnover 1.6 times
Days sales outstanding 
in accounts receivable
40 days 
Gross profit margin 25%
Inventory turnover  5 times 
   
   
 
 
Ratio Analysis
Balance Sheet  Rs. 
 
Equity Share Capital 
Rs. 
25,000 
Cash 
Accounts Receivable
General Reserve  26,000  Inventories 
Accounts Payable  Plant & Equipment 
  Total assets 
Total capital and liabilites  Sales 
    Cost of goods sold 
37 
 
 
20.  Weldone  Co.  and  Goodluck  Co,  trade  in  the  same  industry  but  in  different 
geographical  locations.  The  following  data  are  taken  from  the  2002  annual 
accounts. 
  Weldone Rs.  Goodluck Rs. 
Turnover  40,000  60,000 
Total operating expenses  36,000  55,000 
Average total assets during 2002  30,000  25,000 
Attempt the following (ignore taxation): 
a) 
b) 
c) 
i) 
ii) 
Calculate the rate of return on total assets (profit as a percentage of total assets) 
for each company. 
Analyse the rates of return in part (a) into the net profit percentage and the ratio 
of turnover to total assets. 
Comment  on  the  relative  performance  of  the  two  companies  in  so  far  as  the 
information  permits.  Indicate  what  additional  information  you  would  require  to 
decide which company is the better proposition from the viewpoint of: 
potential shareholder; and 
potential loan creditors 
21.  Abrasives  Ltd.,  has  the  following  turnover  ratios  presented  along  with  the 
corresponding industry averages: 
Ratio description  Abrasive's ratio  Industry average 
Sales / Inventory  530/101 = 5 times  10 tithes 
Sales / Receivables  530/44 = 12 times  15 times 
Sales / Fixed assets  530/98 = 5.4 times  6 times 
Sales / Total assets  530/300 = 1.77 times  3 times 
Financial analysis of the company is presented on the next page in the form of a Du 
Pont Chart. Study the chart, along with the four turnover ratios and industry averages, 
and  comment  on  the  major  weaknesses  of  the  company  where  managerial  attention 
must be focused for future control. 
 
 
Financial and 
 
38 
Investment Analysis 
 
Answers or Approaches to Activities  
Activity 12.1 
Ratio Nos.  Broad Class 
1 to 3  Secondary, Owners 
4 & 5  Secondary, Lenders,, Liquidity 
6 to 9  Secondary, Management, Activity 
10 to 12  Primary, Management, Profitability, Owners 
13 to 15  Secondary, Management, Profitability (Appropriation) 
16 to 21  Secondary, Lenders, Leverage  
Activity 12.2 
a)  Nagpur  Textile  Mills  data  relating  to  average  number  of  days  of  inventory  will 
have to be converted into inventory ratio as follows: 
 
 
 
 
Ratio Analysis
Assuming  the  numerator  to  be  365  days,  the  inventory  turnover  ratios  for  the  five 
years will be: 
39 
 
 
Year  Inventory turnover ratios
1998  100  365 / 90   =24.66
1999  100   365/118  =32.33 
2000  100   365 / 115  = 31.51
2001   100 x 365/107  = 2932 
2002   100 x 365 / 89  = 24.39
b) 
c) 
a)  True 
b)  False 
c)  True 
d)  True 
e)  False 
f)  False 
g)  True 
h) 
i) 
j)  True 
Nagpur  Textile's  is  a  composite  mill.  It  may,  therefore,  be  appropriate  to 
compare the inventory ratios for five years with the annual averages of compos-
ite  mills  for  five  years.  It  is  manifest  that  Nagpur  Textile's  inventory  turnover 
ratio is higher than the industry average for the years 1999-2001. 
The trend for the last four years since 1999 is for the ratio to decline. 
Activity 12.3 
True  because  inventory  which  is  the  denominator  of  the  ratio  is  also  carried 
generally at cost in a world of rising prices. 
False  because  it  reflects  only  the  average  credit  period  and  does  not  state 
anything about discounts and credit standards. 
 
Activity 12.4 
Ratio  Information 
inputs 
Computed ratio for 
the year 
      2001 2002 2003
1.  Cost of goods sold  (7)   (6)  85.06  81.97  84.13 
2.  Gross margin  (6) - (7)   (6)  14.94  18.03  15.87 
3.  Net margin  (14)   (6)  4.74     2.54  3.26 
4.  Operating margin  (10) + (9)   (6)  5.24  4.34  5.18 
5.  Post-tax margin  (14)+ (9) x (13)/(12)  6 9.80  6.53  6.30 
6.  Operating Ratio  (6) - (10)   (6)  99.82  99.66  98.33 
7:  Total Contribution  (6) - (8)   (6)  35.02  35.56  34.70 
8.  Gross Assets Turnover  (6)   (4)  1.05  1.25  1.45 
9.  Net Assets Turnover  (6)  (4) - (5)  1.97  2.36  2.52 
10.   Inventory Turnover  (7)   (2)  4.09  5.16  6.38 
11.   Receivables Turnover  (6)   (2A)  11.13  11.03  14.50 
12. Average Collection 
       Period (Days) 
(2A)   (6) / 365  32.78  33.10  25.17 
 
 
Financial and 
 
40 
Investment Analysis 
 
Activity 12.5  
a)  Gross Return on Investment  
2001 2002  2003 
12.61  9.86  11.14 
4.51  3.57  5.81 
11.63 9.90  12.61 
  Net Return on Investment  
  Return on Capital employed 
 
b)  You  may  first  proceed  to  find  out  the  Equity  multiplier  viz.,  Total  Net 
Assets/Equity  for  each  of  the  three  years,  and  then  multiply  the  R0I  by  this 
multiplier. Equity multipliers for the three years are as follows: 
         Years  Equity multiplier 
           2001  95.30/33.97 = 2.81 
          2002  140.79/39.41 = 3.57 
          2003  158.82/53.16 = 2.99 
          Return on Equity                                   12.67   12.75     17.37  
Answers to Self-Assessment Questions/ Exercises 
7  (b)  
8  (d) 
9  (a) 
10     (d) 
11     (True) 
12     (True) 
13      (c) 
14      annual sales; 360; receivable; cost; 
15      Trend; industry average; 
16      (d)   
17      (c) 
18      (c) 
19  Accounts  payable  =  Rs.  25,500;  Total  Capital  and  Liabilities  as  well  as  Total 
Assets  =  Rs.  76,500;  Cash  =  Rs.  22,100;  Accounts  Receivable  =  Rs.  13,600; 
Inventories = Rs. 24,480; Cost of goods sold = Rs. 91,800; Plant & Equipment 
= Rs. 16,320; and Sales = 1,22,400. 
20.  Weldone Co.  Goodluck Co. 
a) 
b) 
Rate of return on total assets  13.3%  20% 
Net profit percentage  10%  8.3% 
          Asset turnover  1.33 times  2.4 times 
c)      The three ratios provide an estimate
 
of a company's overall performance. They 
are inter-related:  =   
From  the  viewpoint  of  potential  investors  -  shareholders  and  loan  creditors  -  the 
overall  performance  is  important.  In  what  way  the  profit  between  the  two  types  of 
finance  (loan  and  equity)  is  apportioned  is  also  of  equal  importance.  They  will 
therefore need information about capital leverage i.e. the relation-ship between equity 
and loan capital and the relationship between profits and interest payments. 
 
 
 
41 
Ratio Analysis
 
 
The  potential  loan  creditor  will  also  require  information  about  security  that  the. 
company can provide. 
The  potential  shareholders  are  also  interested  in  future  dividends  as  well  as  current 
yields.  They  will  need  information  about  the  share  prices  and  earnings  per  share  so 
that  they  could  make  relevant  comparison  against  similar  other  investment  in  terms 
of PEE ratio and yield. 
21  a)  Profit  margin  not  too  bad  ;  assets  turnover  quite  low.  Action 
required. 
  b)  Inventory  per  unit  of  sales  higher  that  other  firms.  Action  required. 
Implications  and  impact  of  suggested  action  (like  funds  released  in 
the  wake  of  inventory  reduction  utilized  in  liquidating  debt  and 
reducing  interest  burden  with  improved  profit  prospects)  should  be 
highlighted. 
  c)  Excess capacity situation may exist, though not with definitiveness 
12.9  FURTHER READINGS 
Fraser,  M.  Lyn  and  Aileen  Ormiston,  04/10/2003,  Understanding  Financial 
Statements (Chapter 5) : Prentice Hall. 
Khan,  M.Y.  and  Jain,  P.K.,  2000.  Management  Accounting  (Chapter  4),  Tata 
McGraw-Hill : New Delhi. 
Brigham  F.  Eugene  and  Houston  F.  Joel,  1999,  Fundamentals  of  Financial 
Management, 2nd ed. (Chapter 3), Harcourt Brace and Company : Florida. 
Fanning,  David  and  M.  Pendlebury,  1984,  Company  Accounts:  A  Guide,  Allen  & 
Unwin : London. 
Bhatia,  Manohar  L.,  1986,  Profit  Centres:  Concepts,  Practices  and  Perspectives, 
Somaiya Publications, Bombay (pp, 166-170) 
Hingorani  N.L.  and  A.R.  Ramanathan,  1986.  Management  Accounting  (Chapter  7) 
Sultan Chand: Delhi. 
AUDIO PROGRAMME 
Role and Regulation of Stock Markets 
41
 
Introduction to Financial 
Management
UNIT 1   INTRODUCTION TO FINANCIAL  
    MANAGEMENT 
Structure                  Page 
Nos. 
1.0   Introduction                   5        
1.1  Objectives                 6    
1.2  Evolution of Financial Management           6          
1.3  Significance of Financial Management           6 
1.4  Principles of Financial Management           8  
1.4.1  Investment Decision 
1.4.2  Financing Decision  
1.4.3  Dividend Decision 
1.4.4  Liquidity Decision 
1.5  Objectives of Financial Management           9  
1.6  Economic Profit vs. Accounting Profit                     11 
1.7  Agency Relationship                        11 
1.7.1  Problems Related with Agency Relationship        
1.7.2  Costs of the Agency Relationship 
1.8  The Changing Financial Landscape                 12 
1.9  Organisation of Financial Management                 13 
1.10  Tasks and Responsibilities of Modern Financial Manager           13 
1.11  Summary                       15 
1.12  Self-Assessment Questions/Exercises                 15 
1.13  Solutions/Answers                     15 
 
1.0  INTRODUCTION 
Finance is the application of economic principles and concepts to business decision 
making and problem solving. The field of finance broadly consists of three 
categories: Financial Management, Investments and Financial Institutions. 
i)  Financial Management: This area is concerned with financial decision 
making within a business entity. Financial management decisions, include 
maintaining optimum cash balance, extending credit, mergers and acquisitions, 
raising of funds and the instruments to be used for raising funds and the 
instruments to be used for raising funds etc. 
ii)  Investments: This area of finance focuses on the behaviour of financial 
markets and pricing of financial instruments. 
iii)  Financial Institutions: This area of finance deals with banks and other 
financial institutions that specialises in bringing supplier of funds together with 
the users of funds. There are three categories of financial institutions which act 
as an intermediary between savers and users of funds, viz., banks, 
developmental financial institution and capital markets. 
Financial management is broadly concerned with the acquisition and use of funds by 
a business firm. The scope of financial management has grown in recent years, but 
traditionally it is concerned with the following: 
  How large should a firm be and how fast should it grow? 
  What should be the composition of the firms assets? 
  What should be the mix of the firms financing? 
  How should the firm analyse, plan and control its financial affairs? 
 
The past two decades have witnessed several rapid changes on the economic and 
corporate front which have an important bearing on how firms are run and managed. 
On the one hand we have witnessed economies of several countries opening up 
 
5
 
Financial Management 
and Decisions 
thereby throwing new opportunities and on the other hand we have also witnessed 
that the growth rate of developed countries are stagnating or even declining. The 
impact of these changes is that the firms have to move out of the saturated markets 
and explore new markets. 
 
1.1  OBJECTIVES 
After going through this unit, you should be able to:  
  understand the role and scope of financial management; 
  understand the evolution of financial management; 
  understand the various decisions taken by financial managers, and 
  understand the concept of economic and accounting profit. 
 
1.2  EVOLUTION OF FINANCIAL 
MANAGEMENT 
The evolution of financial management may be divided into three broad phases: 
i)  The traditional phase 
ii)  The transitional phase 
iii)  The modern phase. 
 
In the traditional phase the focus of financial management was on certain events 
which required funds e.g., major expansion, merger, reorganisation etc. The 
traditional phase was also characterised by heavy emphasis on legal and procedural 
aspects as at that point of time the functioning of companies was regulated by a 
plethora of legislation. Another striking characteristic of the traditional phase was 
that, a financial management was designed and practiced from the outsiders point of 
view mainly those of investment bankers, lenders, regulatory agencies and other 
outside interests. 
 
During the transitional phase the nature of financial management was the same but 
more emphasis was laid on problems faced by finance managers in the areas of fund 
analysis planning and control. 
 
The modern phase is characterised by the application of economic theories and the 
application of quantitative methods of analysis. The distinctive features of the 
modern phase are: 
  Changes in macro economic situation that has broadened the scope of financial 
management. The core focus is how on the rational matching of funds to their 
uses in the light of the decision criteria. 
  The advances in mathematics and statistics have been applied to financial 
management specially in the areas of financial modeling, demand forecasting and 
risk analysis. 
1.3  SIGNIFICANCE OF FINANCIAL 
  MANAGEMENT 
The main objective of financial management is, to make optimum utilisation of 
resources which results in maximum profits. The last five decades have witnessed 
rapid industrial development and policies of globalisation and liberalisation as a 
result of which financial activities have undergone tremendous changes. The success 
or the failure of business operations largely depends upon the financial policies 
pursued by the firm; as Irwin Friend has said a firms success and even survival, its 
6 
 
Introduction to Financial 
Management
ability and willingness to maintain production and to invest in fixed or working 
capital are to a very considerable extent determined by its financial policies both past 
and present. In modern time where the ownership of firms is more dispersed, there is 
a separation of ownership and management and the firms are focusing toward social 
responsibility the role of financial management has spanned beyond planning and 
control. In the words of Ezra Soloman Financial management is properly viewed 
as an integral part of overall management rather than as a staff specialty concerned 
with fund raising operations. In addition to raising funds, financial management is 
directly concerned with production, marketing and other functions within an 
enterprise where decisions are made about the acquisition or distribution of assets. 
The significance of financial management is discussed as follows: 
1)  Determination of Business Success:  Sound financial management leads to 
  optimum utilization of resources which is the key factor for successful 
  enterprises. If we analyse the factors which lead to an enterprise turning sick 
  one of the main factors would be mismanagement of financial resources. 
  Financial Management helps in preparation of plans for growth, development, 
  diversification and expansion and their successful execution. 
2)  Optimum Utilisation of Resources:  One of the basic objectives of financial 
management is to measure the input and output in monetary terms. Since 
finance managers are responsible for the allocation of resources, they are also 
responsible to ensure that resources are used in an optimum manner. In fact, the 
failure of business enterprise is not due to inadequacy of financial resources, 
but is the result of defective management of financial resources. In a country 
like India, where capital is scarce effective utilisation of financial resources is 
of great significance.  
3)  Focal Point of Decision Making:  Financial management is the focal point of 
  decision-making as it provides various tools and techniques for scientific 
  financial analysis. Some of the techniques of financial management are 
  comparative financial statement, budgets, ratio analysis, variance analysis, 
cost-  volume, profit analysis, etc. These tools help in evaluating the profitability of 
  the project. 
4)  Measurement of Performance:  The performance of the firm is measured by 
  its financial results. The value of the firm is determined by the quantum of 
  earnings and the associated risk with these earnings. Financial decisions which 
  increases earnings and reduces risk will enhance the value of the firm. 
5)  Basis of Planning, Co-ordination and Control:  Each and every activity of 
the   firm requires resource outlays which are ultimately measured in monetary 
  terms. The finance department being the nodal department is closely associated 
  with the planning of most of the activities of the various departments. Since 
  most of the activities of the firm require co-ordination among various 
  departments, the finance department facilitates this co-ordination by supplying 
  the requisite information. Since the result of various activities are measured in 
  monetary  terms, again the finance department is closely involved in control and 
  monitoring activities.  
6)  Advisory Role:  The finance manager plays an important role in the success 
  of any organisations. 
7)  Information Generator for Various Stakeholders:  In this modern era where 
business managers are trustees of public money, it is expected that the firm 
provides information to the various stakeholders about the functioning of the 
firm. One of the major objectives of financial management is to provide timely 
information to various stakeholders. 
 
1.4  PRINCIPLES OF FINANCIAL MANAGEMENT 
 
7
 
Financial Management 
and Decisions 
The broad principles of corporate finance are:  
1)  Investment Decision 
2)  Financing Decision 
3)  Dividend Decision 
4)  Liquidity Decision 
 
1.4.1  Investment Decision 
The firm has scarce resources that must be allocated among competing uses. On the 
one hand the funds may be used to create additional capacity which in turn generates 
additional revenue and profits and on the other hand some investments results in 
lower costs. In financial management the returns, from a proposed investment are 
compared to a minimum acceptable hurdle rate in order to accept or reject a project. 
The hurdle rate is the minimum rate of return below which no investment proposal 
would be accepted. In financial management we measure (estimate) the return on a 
proposed investment and compare it to minimum acceptable hurdle rate in order to 
decide whether or not the project is acceptable. The hurdle rate is a function of 
riskness of the project, riskier the project higher the hurdle rate. There is a broad 
argument that the correct hurdle rate is the opportunity cost of capital. The 
opportunity cost of capital is the rate of return that an investor could earn by investing 
in financial assets of equivalent risk. 
 
1.4.2  Financing Decision 
Another important area where financial management plays an important role is in 
deciding when, where, from and how to acquire funds to meet the firms investment 
needs. These aspects of financial management have acquired greater importance in 
recent times due to the multiple avenues from which funds can be raised. Some of the 
widely used instruments for raising finds are ADRs, GDRs, ECBs Equity Bonds and 
Debentures etc. The core issue in financing decision is to maintain the optimum 
capital structure of the firm that is in other words, to have a right mix of debt and 
equity in the firms capital structure. In case of pure equity firm (Zero debt firms) the 
shareholders returns should be equal to the firms returns. The use of debt affects the 
risk and return of shareholders. In case, cost of debt is used the firms rate of return 
the shareholders return is going to increase and vice versa. The change in 
shareholders return caused by change in profit due to use of debt is called the 
financial deverage. 
 
1.4.3  Dividend Decision 
Dividend decisions is the third major financial decision. The share price of a firm is a 
function of the cash flows associated with the share. The share price at a given point 
of time is the present value of future cash flows associated with the holding of share. 
These cash flows are dividends. The finance manager has to decide what proportion 
of profits has to be distributed to the shareholders. The proportion of profits 
distributed as dividends is called the dividend pay out ratio and the retained 
proportion of profits is known as retention ratio. The dividend policy must be 
designed in a way, that it maximises the market value of the firms share. The 
retention ratio depends upon a host of factors the main factor being the existence of 
investment opportunities. The investors would be indifferent to dividends if the firm 
is able to earn a rate or return which is higher than the cost of the capital. Dividends 
are generally paid in cash, but a firm may also issue bonus shares. Bonus share are 
shares issued to the existing shareholders without any charge. As far as dividend 
decisions are concerned the finance manager has to decide on the question of 
dividend stability, bonus shares, retention ratio and cash dividend. 
1.4.4  Liquidity Decision 
A firm must be able to fulfill its financial commitments at all points of time. In order 
to ensure this the firm should maintain sufficient amount of liquid assets. Liquidity 
decisions are concerned with satisfying both long and short-term financial 
8 
 
Introduction to Financial 
Management
commitments. The finance manager should try to synchronise the cash inflows with 
cash outflows. An investment in current assets affect the firms profitability and 
liquidity. A conflict exists between profitability and liquidity while managing current 
assets. In case, the firm has insufficient current assets it may default on its financial 
obligations. On the other hand excess funds result in foregoing of alternative 
investment opportunities. 
 
)  Check Your Progress 1 
1)  List the three broad phases of evolution of financial management. 
 
2)  List the significance of financial management. 
 
3)  What are the major principles of financial management? 
 
1.5   OBJECTIVES OF FINANCIAL 
MANAGEMENT 
For optimal financial decisions, it is essential to define objectives of financial 
management. These objectives serve as decision-criterion. Financing is a functional 
area of business and, therefore, the objectives of financial management must be in 
tune with the overall objectives of the business. The main objectives of business are 
survival and growth. In order to survive in the business and to grow, a business must 
earn sufficient profits. It must also maintain good relations with investors, employees, 
customers and other groups of society. Financial management of an organisation may 
seek to achieve the following objectives:   
  ensure adequate and regular supply of funds to the business, 
  provide a fair rate of return to the suppliers of capital, 
  ensure efficient utilisation of capital according to the principles of profitability, 
liquidity and safety, 
  devise a definite system for internal investment and financing, 
  minimise cost of capital by developing a sound and economical combination of 
corporate securities, 
  co-ordinate the activities of the finance department with the activities of other 
departments of the organisation. 
Generally, maximisation of economic welfare of its owners is accepted as the 
financial objective of the firm. But, the question is, how does one maximise the 
 
9
 
Financial Management 
and Decisions 
owners economic welfare? Financial experts differ while finding a solution to this 
problem. There are two well known criteria in this regard: 
i)  Profit Maximisation  
ii)  Wealth Maximisation. 
 
Profit Maximisation 
The basic objective of every business enterprise is the welfare of its owners. It can be 
achieved by the maximisation of profits. Therefore, according to this criterion, the 
financial decisions (investment, financing and dividend) of a firm should be oriented 
to the maximisation of profits (i.e. select those assets, projects and decisions which 
are profitable and reject those which are not profitable). In other words, actions that 
increase profits are be undertaken and those that decrease profits are to be avoided. 
Profit maximisation as an objective of financial management can be justified on the 
following grounds: 
 
1)  Rational 
2)  Test of Business Performance 
3)  Main Source of Inspiration 
4)  Maximum Social Welfare 
5)  Basis of Decision-Making 
 
Drawbacks of Profit Maximisation Concept 
 
1)  It is vague 
2)  It ignores time value of money 
3)  It ignores risks 
4)  It ignores social responsibility 
  
From the above description, it can be easily concluded that profit maximisation 
criterion is inappropriate and unsuitable as an operational objective of financial 
management. In imperfect competition, the profit maximisation criterion will 
certainly encourage concentration of economic power and monopolistic tendencies. 
That is why, the objective of wealth maximisation is considered as the appropriate 
and feasible objective as against the objective of profit maximisation. 
 
We shall discuss this criteria in detail and arrive at a satisfactory conclusion to 
determine the goals or objectives of financial management. 
 
Wealth Maximisation 
The objective of profit maximisation, as discussed above, is not only vague and 
ambiguous, but it also ignores the two basic criteria of financial management i.e. (i) 
risk and (ii) time value of money. Therefore, wealth maximisation is taken as the 
basic objective of financial management, rather than profit maximisation. It is also 
known as Value Maximisation or Net Present Value Maximisation. According to 
Ezra Soloman of Stanford University, the ultimate objective of financial 
management should be the maximisation of wealth. Prof. Irwin Friend has also 
supported this view. 
 
Wealth Maximisation means to maximise the net present value (or wealth) 
(NPV) of a course of action. It NPV is the difference between the gross present 
value of the benefits of that action and the amount of investment required to achieve 
those benefits. The gross present value of a course of action is calculated by 
discounting or capitalising its benefits at a rate which reflects their timings and 
uncertainty. 
Superiority of Wealth Maximisation 
10 
 
Introduction to Financial 
Management
We have discussed the goals or objectives of financial management. Now, the 
question arises as to the choice i.e., which should be the goal of financial 
management in decision making i.e., profit maximisation or wealth maximisation. In 
present day changed circumstances, wealth maximisation is a better objective because 
it has the following points in its favour: 
  It measures income in terms of cash flows, and avoids the ambiguity now 
associated with accounting profits as, income from investments is measured on 
the basis of cash flows rather than on accounting profits. 
  It recognises time value of money by discounting the expected income of 
different years at a certain discount rate (cost of capital). 
  It analyses risk and uncertainty so that the best course of action can be selected 
from different alternatives. 
  It is not in conflict with other motives like maximisation of sales or market value 
of shares. It helps rather in the achievement of all these other objectives.  
 
Therefore, maximisation of wealth is the operating objective by which financial 
decisions should be guided.  
 
1.6  ECONOMIC PROFIT VS. ACCOUNTING 
  PROFIT 
Economic profit is the difference between revenues and costs where costs include 
both the actual businesses costs (the explicit costs) and the implicit costs. The 
implicit costs are the payments that are necessary to secure the needed resources, the 
cost of capital. Accounting profits is the difference between revenues and costs 
recorded according to accounting principles. The implicit cost-opportunity cost and 
normal profits which reflects the uncertainty and timing of future cash flows are not 
taken into consideration in according profits. 
 
Economic Value Added 
i)  Calculate the firms operating profit 
ii)  Calculate the cost of capital 
iii)  Compare operating profit with cost of capital. 
 
A related measure of economic profit is market value added (MVA), which focuses 
on the market value of capital as compared to the cost of capital. 
  Calculate the market value of capital 
  Calculate the amount of capital invested. 
  Compare the market value of capital with capital invested. 
 
In theory market value added is the present value of all expected future economic 
profits. 
 
In a nutshell financial decisions are concerned, with the firms decision to acquire 
and dispose off assets and commitment of funds on a continuous basis. Financial 
decisions affect the size, growth, profitability, risk and ultimately, the Value of the 
firm. 
 
1.7  AGENCY RELATIONSHIP 
When firms are small they usually function as sole proprietorship firms or partnership 
firms where owner/partners make the decisions. As the volume and complexity of  
business increases the sole proprietorship partnership firms convert themselves into 
public limited companies or joint stock companies. With increased geographical 
 
11
 
Financial Management 
and Decisions 
spread and other complexities often it is not possible for owners to look after all the 
aspects of the business. The decision making power is delegated to the managers 
(agents). An agent is a person who acts for, and exerts power on behalf of another 
person or group of persons. The person (or group of persons) whom the agent 
represents is referred to as the principal. The relationship between the agent and the 
principal is an agency relationship. There is an agency relationship between the 
managers and shareholders of a company. 
 
1.7.1  Problems Related with Agency Relationship 
In an agency relationship the agent is charged with the responsibility of acting for the 
principal and in the best interest of the principal. But, it is possible that the agent may 
act in a fashion which serves his/her own self-interest rather than that of the principal. 
In recent years we have witnessed numerous corporate frauds i.e. Enron, Xerox, etc., 
where the agents had misappropriated the authority vested in them by the principal. 
The problems associated with agency relationship can manifest itself in many ways. 
The most common being the misuse of power and authority by the managers, which 
includes financial misappropriation, using the funds of the company for the personal 
self (fringe benefits) etc. In case the reward and compensations are based on certain 
parameters, for example sales; managers may indulge in practices which would yield 
result in the short run but prove detrimental in the long run, i.e., overstocking the 
various intermediaries in the supply chain, offering huge discounts, dumping of 
goods in the territory of another manager etc. Another facet of this problem is, where 
managers put a little effort towards expanding and exploring the market for new 
business. In a nutshell the problems with agency relationship is that the managers act 
in a fashion which serves their own interest rather than that of the shareholders. 
 
1.7.2  Costs of the Agency Relationship 
In order to minimise the potential for conflict between the principals interest and the 
agents interest certain costs are to be incurred by the principal as well as the agent 
and the cumulative effect of these costs is referred to as the agency costs. Agency 
costs are of three types: monitoring costs, bonding costs and residual cost. 
 
Monitoring Costs 
These are the costs incurred by the principal to monitor and limit the actions of the 
agent. In companies the shareholders may require the managers to periodically report 
on their activities via audited financial statements. The cost of resources spent on 
preparing these statements is monitoring cost. Another example is the implicit cost 
incurred when the principal limits the decision making power of the agent; by doing 
so, the principal may miss profitable investment opportunities. The foregone profit is 
the monitoring cost. 
 
Bonding Costs 
 These are the costs incurred by the agents to assure the principal that they will act in 
the best interest of the principal.  
 
Residual Costs 
Residual costs is the remaining costs after taking into consideration of the above costs 
(i.e., monitoring costs, bonding costs). 
 
1.8  THE CHANGING FINANCIAL LANDSCAPE 
The past two decades have been witnessing radical changes in the financial system 
world over. The significant changes which has been taking place over the years are: 
a)  Low interest rate regime 
b)  Exchange control and convertibility 
12 
 
Introduction to Financial 
Management
c)  Development of capital markets 
d)  Less intermediation 
e)  Introduction of hybrid financial instruments 
f)  Increase in risk exposure 
g)  Volatility in commodity prices 
h)  Substantial lowering of custom duty (Removal of trade barriers). 
 
These changes coupled with changing customer needs, technology driven innovations 
and regulatory changes are imposing substantial changes in the financial systems 
world over.  
 
The impacts of these changes are as follows: 
1)  Increased competitions have resulted in the rationalisation of pricing and costs. 
Companies having high cost structure are being forced to rationalise operations. 
2)  National financial system is now more closely integrated with international 
  financial system. 
 
1.9  ORGANISATION  OF  FINANCIAL 
MANAGEMENT 
Organisation of financial management means the division and the classification of 
various functions which are to be performed by the finance department. 
 
In small organisations where partners or proprietors have main say in the running of 
the firm, no separate finance department is established. At the most they may appoint 
a person for book keeping and liasioning with banks and debtors. 
 
In medium size organisations a separate department to organise all financial activities 
may be created at the top level under the direct supervision of the Board of Directors 
or a very senior executive. The important feature of this type of set up is that there is 
no further sub division based on various functional areas of finance. 
 
In large size organisations the finance department is further sub divided into 
functional areas. In these organisations two main sub-divisions are that of the 
Financial Controller and the Treasurer. The Financial Controller is concerned with 
planning and controlling, preparation of annual reports, capital and working capital 
budgeting, cost and inventory management maintenance of books and records and 
pay-roll preparation. The treasurer is concerned with raising of funds both short term 
and long term. In addition to this the treasurer is responsible for cash and receivable 
management, auditing of accounts, protection and safe keeping of securities and the 
maintenance of relations with banks and institutions.  
 
1.10  TASKS  AND  RESPONSIBILITIES OF 
MODERN FINANCIAL MANAGER 
The task and responsibilities of finance managers vary from organisation to 
organisation depending upon the nature and size of the business, but inspite of these 
variations the main tasks and responsibilities of finance manager can be classified as 
follows: 
a)   Compliance with policy and procedures laid by the Board of Directors. 
b)  Compliance with various rules and procedures as laid by law. 
c)   Information generation for various stakeholders. 
d)   Effective and efficient utilisation of funds. 
The main tasks and responsibilities of a financial manager are discussed below: 
1)  Financial Planning and Forecasting: Financial manager is also concerned 
  with planning and forecasting of production, sales and level of inventory. 
 
13
 
Financial Management 
and Decisions 
  In addition to this, he has also to plan and forecast the requirement of funds and 
  the sources from which the funds are to be raised. 
  
2)  Financial Management: Fund management is the primary responsibility of the 
finance manager. Fund management includes effective and efficient 
acquisition, allocation and utilisation of funds. The fund management includes 
the following: 
  Acquisition of funds: The finance manager has to ensure that adequate 
funds are available from the right sources at the right cost at the right time. 
The finance manager will have to decide the mode of raising fund, whether 
it is to be through the issue of securities or lending from the bank. 
 
  Allocation of funds: Once funds are acquired the funds have to be 
allocated to various projects and services as per the priority fixed by the 
Board of Directors. 
 
  Utilisation of funds: The objective of business finance is to earn profiles, 
which on a very large extent depend upon how effectively and efficiently 
allocated funds are utilised. Proper utilisation of funds is based on sound 
investment decisions, proper control and asset management policies and 
efficient management of working capital. 
3)  Disposal of Profits: Finance manager has to decide the quantum of dividend 
which the company wants to declare. The amount of dividend will depend upon 
mainly the future requirement of funds for expansion and the prevailing tax 
policy. 
 
4)  Maximisation of Shareholders Wealth: The objective of any business is to 
maximise and create wealth for the investors, which is measured by the price of 
the share of the company. The price of the share of any company is a function 
of its present and expected future earnings. The finance managers should 
pursue policies which maximises earnings. 
 
5)  Interpretation and Reporting: Interpretation of financial data requires skills. 
The finance manager should analyse financial data and find out the reasons for 
variance from standards and report the same to the management. He should 
also assess the likely financial impact of these variances. 
 
6)  Legal Obligations: All the companies are governed by specific laws of the  
land. These laws relate to payment of taxes, salaries, pension, corporate 
governance, preparation of accounts etc. The finance manager should ensure 
that a true and correct picture of the state of affairs should be reflected in the 
statement of accounts. He should also ensure that the tax returns and various 
other information should be submitted on time. 
 
)  Check Your Progress 2 
1)  What are the significant changes taking place in the financial system? 
 
2)  List the main tasks and responsibilities of a Financial Manager. 
14 
 
Introduction to Financial 
Management
 
 
1.11  SUMMARY 
Financial Management has undergone several changes over the last five decades as 
more and more companies are raising funds from markets both domestic and 
overseas. The modern phase of financial management is characterised by the 
application of economic theories and advanced mathematical and statistical tools. 
Financial managements significance is increasing day by day as it play the role of 
facilitator among various departments. The objective of the firm has also changed 
from profit maximisation to that of wealth maximisation. The agency problem is 
concerned with how managers behave when, delegated with decision making powers. 
 
1.12  SELF-ASSESSMENT 
QUESTIONS/EXERCISES 
1)  Finance is the life blood of industry.  Elucidate this statement with suitable 
  illustrations. 
2)  What is the finance function?  Explain in brief the different approaches (or 
  concepts) to Finance Function. 
3)  What is Financial Management?  How does a modern financial management 
  differ from traditional financial management? 
4)  What is meant by Financial Management?  What are the salient features of 
  Financial Management? 
5)  Define Financial Management and discuss its main functions. 
6)  Explain the scope of financial management. What role should the financial 
  manager play in modern enterprise? 
7)  What do you understand by Financial Management?  Discuss its significance 
  in business management. 
8)  The importance of financial management has increased in modern times.  
  Elucidate. 
9)  Sound Financial Management is a key to the progress for corporation. 
  Explain. 
10)  Without adequate finance no business can survive and without efficient 
  financial management, no business can prosper and grow.  Comment on this 
  statement bringing out the role of financial management. 
11)  Discuss the objectives and goals of Financial Management. 
 
1.13  SOLUTIONS/ANSWERS 
 
Check Your Progress 1 
1)  The three broad phases of evolution of financial management are as follows: 
 
15
 
Financial Management 
and Decisions 
a)  The traditional phase 
b)  The transitional phase 
c)  The modern phase 
 
2)  The significance of financial management are: 
a)  Determination of business success 
b)  Optimum utilisation of resources 
c)  Focal point of decision making 
d)  Measurement of performance 
e)  Basis of planning coordination and control 
f)  Advisory role 
g)  Information generator for various stakeholders 
 
3)  The broad principles of corporate finance are: 
a)  Investment Decision 
b)  Financing Decision 
c)  Dividend Decision 
d)  Liquidity Decision 
 
Check Your Progress 2 
1)  The following are the significant changes taking place in the financial system:  
a)  Low interest rate regime 
b)  Exchange control and convertibility 
c)  Development of capital markets 
d)  Less intermediation 
e)  Introduction of hybrid financial instruments 
f)  Increase in risk exposure 
g)  Volatility in commodity prices 
h)  Substantial lowering of custom duty 
 
2)  The main tasks and responsibilities of a financial manager are  
a)  Financial planning and forecasting 
b)  Financial management 
c)  Disposal of profits 
d)  Maximisation of shareholders wealth 
e)  Interpretation and reporting 
f)  Legal obligations 
 
 
16 
 
Time Value of Money
UNIT 2   TIME VALUE OF MONEY  
Structure   Page Nos.  
2.0  Introduction  17 
2.1  Objectives  17 
2.2  Determining the Future Value  17 
2.2.1  Shorter Compounding Period   
2.2.2  Effective vs. Nominal Rates 
2.2.3  Continuous Compounding 
2.3  Annuity  23 
2.4  Summary  31 
2.5  Self-Assessment Questions/Exercises  32 
2.6  Solutions/Answers  35 
   
2.0  INTRODUCTION 
 
The notion that money has time value is one of the most basic concepts of investment 
analysis.  For any productive asset its value will depend upon the future cash flows 
associated with that particular asset.  In order to assess the adequacy of cash flows one 
of the important parameters is to assess the time value of the cash flows viz., Rs.100 
received after one year would not be the same as Rs.100 received after two years.  
There are several reasons to account for this difference based on the timing of the cash 
flows, some of which are as follows: 
 
  there is a general preference for current consumption to future consumption, 
  capital (savings) can be employed to generate positive returns, 
  due to inflation purchasing power of money decreases over time, 
  future cash flows are uncertain. 
 
Translating the current value of money into its equivalent future value is referred to as 
compounding.  Translating a future cash flow or value into its equivalent value in a 
prior period is referred to as discounting.  This Unit deals with basic mathematical 
techniques used in compounding and discounting. 
 
2.1  OBJECTIVES 
 
After going through this unit, you should be able to: 
 
  understand the time value of money; 
  understand what gives money its time value; 
  understand the methods of calculating present and future value, and 
  understand the use of present value technique in financial decisions. 
 
2.2  DETERMINING THE FUTURE VALUE 
 
 
17
Let us suppose that you deposit Rs.1000 with a bank which pays 10 per cent interest 
compounded annually for a period of 3 years. The deposit will grow as follows: 
 
Financial Management 
and Decisions 
First Year   
Principal at the beginning. Interest 
for the year (1000x.10) Total 
amount  
Rs. 
1000 
  100 
1100 
Second Year 
 
Principal at the beginning. Interest 
for the year (1100x.10). Total 
Amount 
1100 
  110 
1210 
Third Year  Principal at the beginning. Interest 
for the year (1210x.10) 
Total Amount 
1210 
  121 
1321 
 
To get the future value from present value for a one year period 
            k) (PV PV FV    + =  
where PV  =  Present Value 
   k  =  Interest rate 
            k) (1 PV FV   + =  
Similarly for a two year period 
 
FV  =  PV  +  (PVk)  +  (PVk)  +      (PVkk) 
Principal amount  First period interest 
on principal 
Second period 
interest on the 
principal 
Second periods 
interest on the first 
periods interest 
 
  FV  = PV+PVk+PVk+PVk
2
 
    = PV+2PVk+PVk
2
 
    = PV (1+2k+K
2
) = PV (1+k)
2
 
 
Thus, the future value of amount after n periods is        (2.1) 
 
  FV  = PV (1+k)
n
 
where   FV  = Future value n years hence 
  PV  = Cash today (present value) 
  k  = Interest rate par year in percentage 
  n  = number of years for which compounding is done 
 
Equation (2.1) is the basic equation for compounding analysis.  The factor (1+k)
n
 is 
refered to as the compounding factor or the future value interest factor (FVIFk,n).  
Published tables are available showing the value of (1+k)
n
 for various combinations of 
k and n.  One such table is given in appendix A of this unit. 
 
Example 2.1 Find out the future value of Rs.1000 compounded annually for 10 years 
at an interest rate of 10%. 
 
Solution: The future value 10 years hence would be 
  FV  = PV (1+k)
n
 
  FV  = 1,000 (1+.10)
10
 
    = 1000(1.10)
10
 
    = 1000 (2.5937) 
    = 2593.7 
 
 
18 
The appreciation in present value of an amount can also be expressed in terms of 
return.  A return is the income on investment over each period divided by the amount 
 
Time Value of Money
of investment at the beginning of the period.  From the above example the arithmetic 
average return would be (2593.7 1000)/1000=159.37% over the ten year period or 
15.937% per year.  The main drawback of using arithmetic average is that it ignores 
the process of compounding.  To overcome this, the correct method is to use 
geometric average return to calculate overage annual return. 
 
Rearranging the equation 2.1 we get  
  ) 2 . 2 ( 1
PV
FV
n k    =  
using the values from example 2.1 
     
% 10 10 .
1 10 . 1
1
1000
7 . 2593
1
000 , 1
7 . 2593
10 / 1
10
= =
   =
 |
.
|
\
|
 =
=
 
 
2.2.1  Shorter Compounding Period 
So far in our discussion we have assumed that the compounding is done annually, 
now let us consider the case where compounding is done more frequently.  In this case 
the equation (2.1) is modified to factor in the change of frequency of compounding. 
 
n m
)
m
k
(1 PV
n
FV
  
+ =
   
        (2.3) 
where    FV
n
  =  Future value after n years 
   PV   =  Present Value 
   K    =  nominal annual rate of interest 
   m    =  Frequency of compounding done during a year 
   n    =  number of years for which compounding is done. 
 
If the interest is payable semiannually frequency of compounding is 2, if it is payable 
monthly frequency is 12, if it is payable weekly frequency is 52 and so on. 
 
Example 2.2 Calculate the future value of Rs.5000 at the end of 6 years, if nominal 
interest rate is 12 per cent and the interest is payable quarterly (frequency = 4) 
Solution: 
 
10,164
2.0328 5000
.03) (1 5000
)
4
.12
(1 5000 FV
)
m
k
(1 PV FV
24
4 6
6
n m
n
=
   =
  + =
+ =
+ =
 
 
The future value of Rs.5000 after 6 years on the basis of quarterly compounding 
would be Rs.10 164 whereas in case of semi-annual and annual compounding the 
future value would be 
 
19
 
Financial Management 
and Decisions 
 
061 , 10
0122 . 2 5000
) 06 1 ( 5000
)
2
12 .
1 ( 5000 FV
12
2 6
6
=
   =
  + =
+ =
  
 
   
9868
) 9738 . 1 ( 5000
6
) 12 . 1 ( 5000
6
FV
=
=
  + =
 
This difference in future value is due to the fact that interest on interest has been 
calculated. 
 
2.2.2  Effective vs. Nominal Rates 
 
In the above example we have seen how the future value changes with the change in 
frequency of compounding.  In order to understand the relationship between effective 
and nominal rate let us calculate the future value of Rs.1000 at the interest rate of 12 
per cent when the compounding is done annually, semiannually, quarterly and 
monthly. 
 
6 . 1123
) 1236 . 1 ( 1000
) 06 . 1 ( 1000
)
2
12 .
1 ( 1000 FV
1120
) 12 . 1 ( 1000 FV
2
2
1
=
=
=
+ =
=
  + =
 
 
8 . 1126
) 1268 . 1 ( 1000
) 01 . 1 ( 1000
)
12
12 .
1 ( 1000 FV
5 . 1125
) 1255 . 1 ( 1000
) 03 . 1 ( 1000
)
4
12 .
1 ( 1000 FV
12
12
4
4
=
=
=
+ =
=
=
=
+ =
    
 
From the above calculations we can see that Rs.1000 grows to Rs.1120, Rs.1123.6, 
Rs.1125.5 and Rs.1126.8 although the rate of interest and time period are the same.  In 
the above case 12.36, 12.55 and 12.68 are known as effective rate of interest.  The 
relationship between the effective and nominal rate of interest is given by 
  1 )
m
k
1 ( r
m
 + =            (2.4) 
where  r = effective rate of interest  
 
20 
  k = nominal rate of interest 
  m = frequency of compounding per year  
 
Time Value of Money
Based on the above stated example the effective interest rate is calculated as follows: 
 
a)  Effective interest rate for monthly compounding 
 
68 . 12 1268 .
1 1268 . 1
1 ) 01 . 1 (
1 )
12
12 .
1 ( r
12
12
= =
   =
   =
 + =
 
 
b)  Effective interest rate for quarterly compounding 
 
% 55 . 12
1255 . 1 1255 . 1 r
1 ) 03 . 1 ( r
1 )
4
12
1 ( r
4
4
=
  =  =
   =
 + =
 
 
c)  Similarly the effective interest rate for semi-annual compounding is  
 
36 . 12 1236 . 1 1236 . 1 r
1 ) 06 . 1 ( r
1 )
2
12
1 ( r
2
2
= =  =
   =
 + =
 
 
Doubling Period 
One of the first and the most common questions regarding an investment alternative is 
the time period required to double the investment. One obvious way is to refer to the 
table of compound factor from which this period can be calculated.  For example the 
doubling period at 3%, 4%, 5%, 6%, 7%, 8%, 9%, 10%, 12% would be approximately 
23 years, 18 years, 14 years, 12 years, 10 years, 9 years, 8 years,  
7 years, and 6 years respectively. 
 
If one is not inclined to use future value interest factor tables there is an alternative, 
known as rule of 72. According to this rule of thumb the doubling period is obtained 
by dividing 72 by the interest rate.  For example, at the interest rate of 8% the 
approximate time for doubling an amount would be 72/8 = 9 years. 
 
A much more accurate rule of thumb is rule of 69. As per this rule the doubling period 
is equal to  
 
rate Interest
69
35 .   +  
 
Using this rule the doubling period for an amount fetching 10 percent and 15 percent 
interest would be as follows. 
 
21
 
years 95 . 4 6 . 4 35 .
15
69
35 .
years 25 . 7 9 . 6 35 .
10
69
35 .
= + = +
= + = +      
 
Financial Management 
and Decisions 
2.2.3  Continuous Compounding 
 
The extreme frequency of compounding is continuous compounding where the 
interest is compounded instantaneously. The factor for continuous compounding for 
one year is eAPR where e is 2.71828 the base of the natural logarithm. The future 
value of an amount that is compounded for n years is  
 
  FV = PV x e
kn 
 
Where k is annual percentage rate and e
kn 
is the compound factor. 
 
Example 2.3: Find the future value of Rs.1000 compounded continuously for 5 year 
at the interest rate of 12% per year and contrast it with annual compounding. 
 
12 . 1822
82212 . 1 1000
71828 . 2 1000
71828 . 2 1000
PVe FV : Solution
60 .
N(APR)
5
=
   =
   =
   =
=
   
 
3 . 1762
) 7623 . 1 ( 1000
) 12 . 1 ( 1000
) k 1 ( PV FV
5
n
5
=
=
  + =
  + =
    
 
From this example you can very well see the effects of extreme frequency of 
compounding. 
So far in our discussion we have assumed that the interest rate is going to remain the 
same over the life of the investment, but now a days we are witnessing an increased 
volatility in interest rates as a result of which the financial instruments are designed in 
a way that interest rates are benchmarked to a particular variable and with the change 
in that variable the interest rates also change accordingly. 
 
In such cases the Future Value is calculated through this equation. 
 
  ) k 1 ( ... ) k 1 ( ) k 1 ( ) k 1 ( PV FV
n 3 2 1 n
  + + + + + =                                    (2.5) 
 
Where k
n
 is the interest rate for period n. 
 
Example 2.4:  Consider a Rs.50, 000 investment in a one year fixed deposit and 
rolled over annually for the next two years.  The interest rate for the first year is 5% 
annually and the expected interest rate for the next two years are 6% and 6.5% 
respectively calculate the future value of the investment after 3 years and the average 
annual interest rate. 
 
Solution: 
 
   
25 . 267 , 59
) 065 . 1 ( ) 06 . 1 ( ) 05 . 1 ( 000 , 50
) k 1 ( ) k 1 ( ) k 1 ( PV FV
3 2 1
=
  + + + =
  + + + =
 
Average annual interest rate 
 
22 
 
) wrong ( 58333 .
3
065 . 06 . 05 .
=
+ +
 
 
Time Value of Money
By now we know the values of FV, PV, and n. The average annual interest rate would 
be 
 
% 8315 . 5 185345 . 1
000 , 50
25 . 59267
k
PV
FV
k
3
3
n
= = =
=
  
 
This is also equivalent to 
 
8315 . 5
1 ) 065 . 1 ( ) 06 . 1 ( ) 05 . 1 ( k
3
=
   + + + =
 
 
)  Check Your Progress 1 
1)  Calculate the compound value of Rs. 1000, interest rate being 12% per 
annum, if compounded annually, semi annually, quarterly and monthly for  
  2 years. 
  .
.
. 
2)  Calculate the future value of Rs. 1000 deposited initially, if the interest is 
 12% compounded annually for the next five years. 
  .
.
. 
3)  Mr. X bought a share 15 years ago for Rs. 10, the present value of which is 
Rs. 27.60. Compute the compound growth rate in the price of the share. 
  
. 
2.3  ANNUITY 
An annuity is defined as stream of uniform period cash flows.  The payment of life 
insurance premium by the policyholder to the insurance company is an example of an 
annuity. Similarly, deposits in a recurring bank account is also an annuity.  
Depending on the timing of the cash flows annuities are classified as:  
a)  Regular Annuity or Deferred Annuity  
b) Annuity Due.  
 
The regular annuity or the deferred annuity are those annuities in which the cash flow 
occur at the end of each period. In case of an annuity due the cash flow occurs at the 
beginning of the period. 
 
Example 2.5: Suppose Mr. Ram deposits Rs. 10,000 annually in a bank for 5 years, at 
10 per cent compound interest rate. Calculate the value of this series of deposits at the 
end of five years assuming that (i) each deposit occurs at the end of the year (ii) each 
deposit occurs at the beginning of the year. 
 
23
 
Financial Management 
and Decisions 
Solution: The future value of regular annuity will be  
Rs. 1000 (1.10)
4
 + 1000 (1.10)
3
 +1000 (1.10)
2
+1000 (1.10) +1000  
= 6105. 
The future value of an annuity due will be 
Rs. 1000 (1.10)
5
 + 1000 (1.10)
4
 +1000 (1.10)
3
+1000 (1.10)
2
 +1000 (1.10) 
= Rs 1000 (1.611) + 1000 (1.4641) + 1000 (1.331) + 1000 (1.21)+1000 (1.10) 
= Rs. 6716. 
In the above example you have seen the difference in future value of a regular annuity 
and annuity due. This difference in value is due to the timing of cash flow. In case of 
regular annuity the last cash flow does not earn any interest, whereas in the case of 
annuity due, the cash flows earns an interest for one period.  
Formula 
 
In general terms the future value of an annuity (regular annuity) is given by the 
following formula: 
 
(
   +
=
=
  
+
=
+ +
+ +
+ =
k
1
n
) k 1 (
A
n
1 t
t n
) k 1 (
A
) 6 . 2 ( A ...
2 n
) k 1 ( A
1 n
) k 1 ( A
n
FVA
 
Future value of an annuity due 
 
) k 1 (
k
1
n
) k 1 (
A
) 7 . 2 (
n
1 t
1 t n
) k 1 ( A
) due ( n
FVA
) k 1 ( A ....
1 n
) k 1 ( A
n
) k 1 ( A
) due ( n
FVA
+
 +
=
=
  + 
+ =
+ + +
+ + +
(
(
 
 
Where FVA
n
 = Future value of an annuity which has a duration of n periods 
     A   = Constant periodic cash flow 
    k  = Interest rate per period 
    n  = duration of the annuity 
The term 
(
   +
k
1 ) k 1 (
n
 is referred to as the future value interest factor for an annuity 
(FVIFA
k
,
n
). The value of this factor for several combinations of k and n are given in 
the appendix at the end of this unit. 
 
Present Value of an Uneven Series 
 
 
24 
In real life cash flows occurring over a period of time are often uneven. For example, 
the dividends declared by the companies will vary from year to year, similarly 
payment of interest on loans will vary if the interest is charged on a floating rate basis.  
The present value of a cash flow stream is calculated with the help of the following 
formula: 
 
Time Value of Money
  PV
n
  =  ) 8 . 2 (
) k 1 (
A
) k 1 (
A
..........
) k 1 (
A
) K 1 (
A
n
1 t
t
t
n
n
2
2 1
+
=
+
+ +
+
+
+   =
 
 
Where 
  PV
n 
= present value of a cash flow stream 
    A
t
 = cash flow occurring at the end of the year  
     k  = discount rate 
     n  = duration of the cash flow stream 
 
Shorter Discounting Periods 
Sometimes cash flows may have to be discounted more frequently than once a year-
semi-annually, quarterly, monthly or daily.  The result of this is two fold (i) the 
number of periods increases (ii) the discount rate applicable per period decreases.  The 
formula for calculating the present value in case of shorter discounting period is 
 
  PV = FV
n
   
m / n
m / k 1
1
(
+
          (2.9) 
Where m = number of times per year discounting is done. 
Example 2.6:  Calculate the present value of Rs. 10,000 to be received at the end of  
4 years.  The discount rate is 10 percent and discounting is done quarterly. 
 
Solution:    
PV  = FV
4
  PVIF k/m, mn 
         = 10,000  PVIF 3%, 16 
         = 10,000  0.623 
         = Rs. 6230 
 
Determining the Present Value 
In the previous sections we have discussed the computation of  the future value, now 
let us work the process in reverse.  Let us suppose you have won a lottery ticket worth 
Rs. 1000 and this Rs. 1000 is payable after three years.  You must be interested in 
knowing the present value of Rs. 1000.  If the interest rate is 10 per cent, the present 
value can be calculated by discounting Rs. 1000 to the present point of time as 
follows. 
  Value three years hence = Rs. 1000  |
.
|
\
10 . 1
1
|
 
  Value one years hence = Rs. 1000  |
.
|
\
10 . 1
1
|
  |
.
|
\
10 . 1
1
|
 
  Value now (Present Value) = Rs. 1000  |
.
|
\
10 . 1
1
|
  |
.
|
\
10 . 1
1
|
  |
.
|
\
10 . 1
1
|
 
 
Formula 
Compounding translates a value at one point in time into a value at some future point 
in time. The opposite process translates future value into present value.  Discounting 
translates a value back in time.  From the basic valuation equation 
 
  FV = PV (1 + k)
n
 
Dividing both the sides by (1+k)
n
 we get 
 
25
  PV = FV 
(   )
n
k
 (
+ 1
 1
                         (2.10) 
 
Financial Management 
and Decisions 
The factor 
(   )
n
k
 (
+ 1
 1
 is called the discounting factor or the present value interest 
factor [PVIF
k,n
] 
 
Example 2.7:  Calculate the present value of Rs. 1000 receivable 6 years hence if the 
discount rate is 10 per cent. 
 
Solution: The present value is calculated as follows: 
  PV
kn
 = FV
n
  PVIF
k,n
 
          = 1,000  ( 0.5645) 
          = 564.5 
Example 2.8: Suppose you are receiving an amount of Rs.5000 twice in a year for 
next five years once at the beginning of the year and the other amount of Rs. 5000 at 
the end of the year, which you deposit in the bank which pays an interest of  
12 percent. Calculate the value of the deposit at the end of the fifth year. 
 
Solution: In this problem we have to calculate the future value of two annuities of 
Rs.5000 having duration of five years. The first annuity is an annuity due and the 
second annuity is regular annuity, therefore the value of the deposit at the end of five 
year would be 
 
67336
577 , 35 765 , 31
) 12 . 1 )( 353 . 6 ( 5000 ) 353 . 6 ( 5000
) k 1 ( ) FVIFA ( A ) FVIFA ( A
) k 1 (
k
1 ) k 1 (
A
k
1 ) k 1 (
A
FVA FVA
5 , 12 5 , 12
n n
) due ( n n
=
  + =
  + =
  + + =
+
(
   +
+
(
   +
=
+
 
The value of deposit at the end of the fifth year is Rs. 67,342. 
 
Sinking Fund Factor 
 
Suppose you are interested in knowing how much should be saved regularly over a 
period of time so that at the end of the period you have a specified amount. To answer 
this question let us manipulate the equation 
 
(
    +
=
k
1 ) k 1 (
A FVA
n
n
 
which shows the relationship between FVA
n
, A, k, and  
 
n
FVA
n
1 ) k 1 (
k
A
  (
 +
=            (2.11) 
 
Equation 2.11 helps in answering this question. The periodic deposit is simply A and 
is obtained by dividing FVAn by FVIFA
k,n
. In eq 2.11 
(
 + 1 ) k 1 (
k
n
is the inverse of 
FVIFA
k,n
 and is called the sinking fund factor. 
 
 
26 
Example 2.9:  How much should you save annually so as to accumulate                
Rs. 20,00,000 by the end of 10 years, if the saving earns an interest of 12 per cent? 
 
Time Value of Money
Solution:  
 
400 , 11 , 1
548 . 17
1
00000 , 20 . Rs
FVIFA
1
000 , 20 . Rs
1 ) k 1 (
k
FVA A
10 %, 12
n
n
=
 =
 =
(
 +
=
 
Present value of an annuity 
Let us suppose you expect to receive Rs.2000 annually for the next three years. This 
receipt of Rs.2000 is equally divided. One part viz., Rs.1000 is received at the 
beginning of the year and the remaining Rs.1000 is received at the end of the year. We 
are interested in knowing the present value when the discount rate is10 per cent. The 
cash flows stated above are of two types which are similar to regular annuity and 
annuity due. The present value of this cash flow is found out as follows: 
 
a)  Present value of Rs.1000 received at the end of each year for three years (Regular 
annuity). 
 
. 2479 . Rs
7513 . 0 1000 08264 1000 09091 1000
)
10 . 1
1
( 1000 . Rs )
10 . 1
1
( 1000 . Rs )
10 . 1
1
( 1000 . Rs
3 2
 +  + 
+ +
   
b)  Present value of Rs.1000 received at the beginning of each year for three year 
(annuity due) 
 
2735 . Rs
08264 1000 9091 . 0 1000 1000
)
10 . 1
1
( 1000 . Rs )
10 . 1
1
( 1000 Rs 1000 . Rs
2
=
   +  + =
+ +
 
The present value of this annuity is Rs. 2479+Rs.2735 = Rs. 5214. 
 
Formula  
In general terms the present value of a regular annuity may be expressed as follows: 
 
(
(
(
+
   +
=
(
+
+
+
+
+
=
+
+
+ +
+
+
=
n
n
n 2
n 2
n
) k 1 ( k
1 ) k 1 (
A
) k 1 (
1
...
) k 1 (
1
k 1
1
A
) k 1 (
A
......
) k 1 (
A
) k 1 (
A
PVN
 
In case of annuity due 
 
27
 
Financial Management 
and Decisions 
  ) k 1 (
) k 1 ( k
1 ) k 1 (
A PVA
n
n
) due ( n
  +
(
+
   +
=         (2.12) 
where PVA
n
 = Present value of an annuity which has a duration of n periods 
A = Constant periodic flows 
k = discount rate 
 
Capital Recovery Factor 
Equation 2.12 shows the relationship between PVA
n
, A, K and n. Manipulating it a 
bit: 
We get 
(
 +
 +
=
1 ) k 1 (
) k 1 ( k
PVA A
n
n
n
          (2.13) 
(
 +
 +
1 ) k 1 (
) k 1 ( k
n
n
 in equation 2.13 is inverse of PVIFA
k,n
 and is called the capital 
recovery factor. 
 
Example 2.10:  Suppose you receive a cash bonus of Rs.1,00,000 which you deposit 
in a bank which pays 10 percent annual interest. How much can you withdraw 
annually for a period of 10 years. 
From eq.2.13 
273 , 16 A
145 . 6
000 , 00 , 1
A
10 PVIFA
1
PVA A
% 10
n
=
=
 =
 
Present value of perpetuity: 
A perpetuity is an annuity of an infinite duration 
 
 =
(
+
+ +
+
+
+
=
, k
2
PVIFA A PVA
) k 1 (
1
...
) k 1 (
1
) k 1 (
1
A PVA
 
   where PVA
=
  =
+
1 t
t
k
1
) k 1 (
1
 
 
28 
The present value interest factor of an annuity of infinite duration (perpetuity) is 
simply 1 divided by interest rate (expressed in decimal form. The present value of an 
annuity is equal to the constant annual payment divided by the interest rate, for 
example, the present value of perpetuity of Rs.20, 000 if the interest rate is 10%, is Rs. 
2,00,000. 
 
Time Value of Money
)  Check Your Progress 2 
1)  Calculate the present value of Rs. 600 (a) received one year from now         
(b) received at the end of five years (c) received at the end of fifteen years. 
Assume a 5% time preference rate. 
 
 
2)  Mr. Ram is borrowing Rs. 50,000 to buy a motorcycle. If he pays equal 
  installments for 25 years and 4% interest on the outstanding balance, what is 
  the amount of installment? What will be amount of the instalment if quarterly 
  payments are requested to be made? 
  
 
3)  A bank has offered to pay you an annuity of Rs. 1,800 for 10 years if you 
invest Rs. 12,000 today. What rate of return would you earn? 
  
 
Derivation of Formulas 
i)  Future Value of an Annuity 
Future value of an annuity is 
) 1 a ( A ) k 1 ( A ....... ) k 1 ( A ) k 1 ( A FVA
2 n 1 n
n
  + + + + + + =
   
. gives k) (1 by a1 equation the of sides both g Multiplyin   +  
) k 1 ( A ) k 1 ( A ... ) k 1 ( A ) k 1 ( A ) k 1 ( ) FVA (
2 1 n n
n
  + + + + + + + = +
  
  (a2)
 
Subtracting eq. (a1) from eq. (a2) yields 
(
   +
=
k
1 ) k 1 (
A k FVA
n
n
                     (a3) 
Dividing both sides of eq. (a3) by k yields 
(
   +
=
k
1 ) k 1 (
A FVA
n
n
 
ii)  Present Value of an Annuity 
The present value of an annuity is    
) 5 a ( ) k 1 ( A ...... ) k 1 ( A A ) k 1 ( PVA
: gives ) k 1 ( by ) 4 a ( eq of sides both g Multiplyin
) 4 a ( ) k 1 ( A .... ) k 1 ( A ) k 1 ( A k PVA
1 n 1
n
n 2 1
n
+  
  
+ + + + + = +
  +
  + + + + + + =
Subtracting eq (a4) from eq (a5) yields: 
 
29
|   |
  (
+
   +
= +  =
  
n
n
n
n
) k 1 ( k
1 ) k 1 (
A ) k 1 ( 1 A k PVa          (a6) 
 
Financial Management 
and Decisions 
Dividing both the sides of eq (a6) by k results in: 
(
+
   +
=
n
n
n
) k 1 ( k
1 ) k 1 (
A PVA
 
 
 
iii)  Present Value of a Perpetuity   
 +   
  + + + + + + + + = ) k 1 ( A ) k 1 ( A ..... ) k 1 ( A ) k 1 ( A PVA
1 2 1
     (a7) 
Multiplying both the sides of eq (a7) by (1+k) gives: 
1 2 1
) k 1 ( A ) k 1 ( A ...... ) k 1 ( A ) k 1 ( A ) k 1 ( PVA
  +  +  
  + + + + + + + = + =    (a8) 
subtracting eq (a7) from eq (a8) gives: 
) 9 a (
k
A
PVA
A k PVA
: becomes ) 8 a ( . eq o ) k 1 ( As
] ) k 1 ( 1 [ A k PVA
= 
=
   +
  +  =
 
iv)  Continuous Compounding 
In Section 2.2.2 we had established a relationship between the effective and nominal 
rate of interest where compounding occur n times a year which is as follows: 
1 )
m
k
1 ( r
m
 + =                                                     (a10) 
Rearranging equation a10, it can be expressed as  
1 ] )
k / m
k
1 [( r
k k / m
 + =                                              (a11) 
Let us substitute m/k by x om eq (a11) 
1 ] )
x
1
1 [( r
k
 + =                                                        (a12) 
 
In continuous compounding    m  which implies   ) 12 a ( eq in x    
     ... 71828 . 2 e
x
1
1
x
Lim
x
= = |
.
|
\
|
 +
 
 
 
From equation (a12) results in 
     R = e
k
-1 
k
e ) 1 r (   = +   
Thus the future value of an amount when continuous compounding is done is as 
follows: 
km
n
e PV FV    =                                  (a13) 
v)  Continuous Discounting 
 
From eq (a12) 
 
km
n
e FV PV
  
 =  
 
30 
 
Time Value of Money
2.4  SUMMARY   
Individuals generally prefer possession of cash right now or in the present moment 
rather than the same amount at some time in the future. This time preference is 
basically due to the following reasons:    (a) uncertainty of cash flows (b) preference 
for current consumption (c) availability of investment opportunities. In case an 
investor opts to receive cash in future s/he would demand a risk premium over and 
above the risk free rate as compensation for time to account for the uncertaininty of 
cash flows. Compounding and discounting are techniques to facilitate the comparison 
of cash flows occurring at different time periods. In compounding future value of cash 
flows at a given interest rate at the end of a given period of time are cash flows at a 
given interest rate at the beginning of a given period of time is found out. An annuity 
is a series of periodic cash flows of equal amount. Perpetuity is an annuity of infinite 
duration. Table 2.1 depicts the various formulas used for discounting and 
compounding. 
Table 2.1: Summary of Discounting and Compounding Formulas 
 
31
Purpose 
compound 
value of a 
lump sum 
Given PV Present 
Value 
Calculate FV
n
 Future 
value n years hence 
Formula  
FV
n
 = PV (1+k)
n 
Doubling 
Period 
Compound 
value of a 
lump sum with 
shorter 
compounding 
period 
Interest Rate 
PV and frequency of 
compounding 
(m) 
Time Required to 
double an amount 
Future value after n 
year (FV
n
) 
Rate Interest
69
35 . 0   +  
n m
n
)
m
k
1 ( PV FV
  
+ =  
Relationship 
between 
effective and 
nominal rate 
Nominal interest rate 
(K) and frequency of 
compounding (m) 
Effective interest rate   
(R) 
1 )
m
k
1 ( r
m
 + =  
Present value 
of a single 
amount 
Future value (FV
n
)  Present Value (PV) 
n
n n
)
k 1
1
( FV PV
+
=  
Future value 
of a regular 
annuity 
Constant periodic 
cash flow (A) interest 
rate (k) and duration 
(n) 
Further value of a 
regular annuity 
(FVA
n
) 
]
k
1 ) k 1 (
[ A FVA
n
n
   +
=  
Future value 
of a annuity 
due 
Constant periodic 
cash flow (A) interest 
rate (k) and duration 
(n) 
Future value of an 
annuity due FVA
n
 
(due)  
) k 1 ](
k
1 ) k 1 (
[ A FVA
n
) due ( n
  +
 +
=
 
Present value 
of a regular 
annuity 
Constant periodic 
cash flow (A) interest 
rate (k) and duration 
(n) 
Present value of a 
regular annuity PVA
n  (
+
   +
=
n
n
n
) k 1 ( k
1 ) k 1 (
A PVA  
Present value 
of an annuity 
due 
Constant periodic 
cash flow (A) interest 
rate (k) and duration 
(n) 
Present value of an 
annuity due PVA
n
 
(due) 
) k 1 ](
) k 1 ( k
1 ) k 1 (
[ A PVA
n
n
) due ( n
  +
+
   +
=
 
Present value 
of a perpetuity 
Constant cash flows 
(A) and interest rate 
(k) 
Present value of an 
perpetuity   
PVA
K
A
PVA  =
 
 
 
Financial Management 
and Decisions  2.5  SELF-ASSESSMENT QUESTIONS 
1)  If you are offered two investments, one that pays 5% simple interest per year 
  and one that pays 5% compound interest per year, which would you choose? 
  Why? 
 
2)  Suppose you make a deposit today in a bank account that pays compounded 
  interest annually. After one, year, the balance in the account has grown. 
a)  What has caused it to grow? 
b)  After two years the balance in the account has grown even more what  
  has caused the balance to increase during the second year? 
 
3)  The Florida Lottery pays out winnings, after taxes, on the basis of 20 equal 
annual installments, providing, the first installment at that time when the 
winning ticket is turned in. 
a)  What type of cash flow pattern is the distribution of lottery winnings? 
b)  How would you value such winnings? 
 
4)  Rent is typically paid at the first of each month.  What pattern of cash flow, an 
ordinary annuity or an annuity due, does a rental agreement follow? 
 
5)  a) Under what conditions does the effective annual rate of interest (EAR) differ  
 from the annual percentage rate (APR)? 
  b) As the frequency of compounding increases within the annual period what   
     happens to the relation between the EAR and the APR?   
 
6)  Using the appropriate table, calculate the compound factor for each of the 
following combinations of interest rate per period and number of compounding 
periods: 
 
  Number of Periods  Interest rate per Period  Compound Factor 
2  2%  - 
4  3%  - 
3  4%  - 
6  8%  - 
8  6%  - 
 
7)  Using the appropriate table, calculate the discount factor for each of the 
following combinations of interest rate per period and number of discounting 
periods. 
 
Number of Periods  Interest Rate per Period  Discount Factor 
2  2%  - 
4  3%  - 
3  4%  - 
6  8%  - 
8  6%  - 
 
8)  Using the appropriate table, calculate the future value annuity factor for each of 
  the following combinations of interest rate per period and number of payments: 
Number of Periods  Interest Rate per Period  Discount Factor 
2  2%  - 
4  3%  - 
3  4%  - 
6  8%  - 
8  6%  - 
 
32 
 
Time Value of Money
9)  Using the appropriate table, calculate the present value annuity factor for each 
  of the following combinations of interest rate per period and number of 
  payments: 
Number of Periods  Interest Rate per Periods  Discount Factor 
2  2%  - 
4  3%  - 
3  4%  - 
6  8%  - 
8  6%  - 
 
10)  Using an 8% compounded interest rate per period calculate the future value of  
 
a)   Rs.100 investment 
b)  one period into the future 
c)  two periods into the future 
d)  three periods into the future 
e)  four periods into the future 
f)  five periods into the future 
g)  40 periods into the future. 
11)  Suppose you deposit Rs.1,000 into a savings account that earns interest at the 
  rate of 4% compounded annually, what would the balance in the account be: 
 
a)   after two years 
b)  after four years 
c)  after six years 
d)   after 20 years 
12)  You deposit Rs.10,000 in an account that pays 6% compounded interest  
  per period, assuming no withdrawal: 
a)  What will be the balance in the account after two periods? 
  b)  after the two periods, how much interest has been paid on the principal  
    amount? 
  c)  After the two periods, how much interest has been paid on interest? 
13)  Using an 8% compounded interest rate, calculate the present value of Rs.100 to 
be received: 
a)  one period into the future 
b)  two periods into the future 
c)  three periods into the future 
d)  four periods into the future 
e)  five periods into the future 
f)  40 periods into the future 
14)  Ted wants to borrow from Fred. Ted is confident that he will have Rs.1, 000 
available to pay off Fred in two years. How much will Fred be willing to lend to 
Ted in return for Rs.1,000 two years from now if he uses a compounded interest 
rate per year of: 
(a) 5%   (b) 10%  (c) 15%? 
15)  How much would you have to deposit into a savings account that earns 2% 
interest compounded quarterly, to have a balance of Rs. 2,000 at the end of four 
years if you make no withdrawals? 
16)  What is the present value of Rs.5, 000 to be received five years from now, if the 
nominal annual interest rate (APR) is 12 % and interest is compounded:             
(a) Annually (b) Semiannually (c) Quarterly (d) Monthly 
 
33
 
Financial Management 
and Decisions 
17)  Calculate the future value at the end of the second period of this series of end-of 
period cash flows, using an interest rate of 10% compounded per period: 
Year   End of Year Cash Flow 
Year 1  Rs. 2,000 
Year 2  Rs. 3,000 
Year 3  Rs. 4,000 
Year 4  Rs. 5,000 
 
18)  An investor is considering the purchase of an investment at the end of Year 0 
that will yield the following cash flows: 
Year   End of Year Cash Flow 
Year 1  Rs. 2,000 
Year 2  Rs. 3,000 
Year 3  Rs. 4,000 
Year 4  Rs. 5,000 
 
If the appropriate discount rate for this investment is 10%, what will this 
investor be willing to pay for this investment. 
19)  Calculate the present value (that is the value at the end of period 0) of the 
following series of end of period cash flows: 
Year   End of Year Cash Flow 
0  Rs.1,000 
Year 2  Rs.  200 
2  Rs.  400 
 
20)  Suppose the investment promises to provide the following cash flows: 
Year   End of Year Cash Flow 
Year 1  Rs.0 
Year 2  Rs.1,000 
Year 3  Rs.0 
Year 4  Rs.1,000 
   
If interest is compounded annually at 5% what is the value of the investment at 
the end of: (a) Year 1 (b) Year 0 
 
21)  Calculate the future value at the end of the third period of an ordinary annuity 
consisting of three cash flows of Rs.2,000 each. Use a 5% rate of interest per 
period. 
 
22)  What is the present value of Rs.10 to be received each period forever, if the 
interest rate is 6%? 
 
23)  If an investor is willing to pay Rs.40 today to receive Rs.2 every year forever, 
what is this investors opportunity cost used to value this investment? 
 
24)  Calculate the present value of an annuity due consisting of three cash flows of 
Rs.1,000 each, one year apart. Use a 6% compounded interest rate per year. 
 
25)  Calculate the future value at the end of the third period of an annuity due, 
consisting of three cash flows of Rs.1,000 each, each one year apart. Use a 6% 
compounded interest rate per year. 
 
 
34 
26)  Suppose you have won the Florida Lotto worth Rs.18 million. Further suppose 
that the State of Florida will pay you the winnings in 20 annual installments, 
 
 
35
Time Value of Money
starting immediately, of Rs.9,00,000 each. If your opportunity cost is 10% what 
is the value today of these 20 installments? 
 
27)  Calculate the required deposit to be made today so that a series of ten 
withdrawals of Rs.1,000 each can be made beginning five years from today. 
Assume an interest rate of 5% per period of end of period balances. 
 
28)  How much would you need to deposit today so that you can withdraw Rs. 4,000 
per year for ten years, starting three years from today? 
 
29)  Suppose you wish to invest Rs. 2,000 today so that you have Rs. 4,000 six 
years from now. What must the compounded annual interest rate be in order to 
achieve your goal? 
2.6  SOLUTIONS/ANSWERS 
 
Check Your Progress 1 
1)   i)        Annual Compounding Rs. 1,254. 
ii)  Half year Compounding Rs. 1,262. 
iii)  Quarterly Compounding Rs. 1,267. 
iv)  Monthly Compounding Rs. 1, 270. 
 
2)   Rs. 1,806 
 
3)   7% 
 
Check Your Progress 2 
1)  a) Rs. 571.20   b) 470.50   c) 288.60 
 
2)  Equal yearly instalment = Rs. 3200.61 
  Equal quarterly instalment = Rs. 793.28 
 
3)  8.15% 
 
 
 
Working Capital 
Decisions
UNIT 4  WORKING CAPITAL DECISIONS 
 
Structure   Page Nos.  
 
4.0  Introduction  73 
4.1  Objectives  74 
4.2  Characteristics of Current Assets  74 
4.3  Operating Cycle Concepts  76 
4.4  Factors Influencing Working Capital Requirements    77 
4.5  Sources of Working Capital  78 
4.6  Strategies of Working Capital Management  83 
4.7  Estimating Working Capital Requirement  84 
4.8  Summary      101 
4.9  Self-Assessment Questions/Exercises      101 
4.10  Solutions/Answers      104 
 
4.0  INTRODUCTION 
 
The decisions regarding long-term investment are based on judgments on future cash 
flows, the uncertaininty of these cash flows and the opportunity cost of the funds to be 
invested. As far as working capital management decisions are concerned the 
underlying criteria are the same but, there is an increased focus on liquidity and 
management of operating cycle. Operating cycle refers to the time it takes to convert 
current assets (excluding cash) into cash. The operating cycle in part determines how 
long it takes for a firm to generate cash from current assets and therefore the risk and 
cost of its investment in current assets or working capital. Working capital is the 
capital that can be immediately put to work to generate the benefits of capital 
investment. Working capital is also known as current capital or circulating capital. 
 
The major difference between long-term financial management and short-term 
financial management (also referred to as working capital management) is with 
regards to quantum and frequency of cash flows. In case of long-term financial 
management the amount of funds dedicated are usually large and one off decisions 
whereas, in case of short term financing the amount of funds dedicated are relatively 
small and frequently repetitive in nature. The impact of long term financing ranges 
over an extended period of time usually 15-20 years or more, whereas, the impact of 
short term financing is within the operating cycle usually ranging form three months 
to a year. 
 
There are two concepts of working capital: 
 
(i)  Gross working capital  
 
(ii)  Net working capital 
 
The gross working capital is the total of all current assets. Net working capital is the 
difference between current assets and current liabilities. The constituents of working 
capital are shown in Table 4.1. Part A of this table shows current assets and part B of 
this table shows current liabilities. 
Table 4.1: Constituents of current assets and current liabilities 
73
 
Financial Management 
and Decisions 
 
Part A  Part B 
Current Assets  
Cash and Bank Balances  
Inventories 
Raw material and components, work in 
progress/process (WIP) finished goods, 
trade debtors, loans and advances,  
investments, pre-paid expenses 
Current Liabilities 
Sundry Creditors 
Trade Advances 
Borrowings (short term) 
Outstanding expenses 
Taxes and dividends payable, 
Other liabilities maturing within a year 
 
This unit deals with certain aspects and considerations related to overall working 
capital management and is divided into the following sections: 
 
  characteristics of current assets 
  factors influencing working capital requirements 
  levels of current assets 
  current assets financing policy 
 
  profit criterion for current assets 
 
  operating cycle analysis 
 
  impact of inflation on working capital 
  approaches to bank financing 
  methods for estimating working capital requirements 
  source of working capital finance 
 
 
4.1  OBJECTIVES 
After going through this unit, you would be able to:  
  understand the concept and characteristics of working capital; 
  understand the difference between net working capital and gross working capital; 
  understand the concept of operating cycle;  
  understand how the various factors influence working capital requirements; and 
  understand the various methods of computing working capital. 
 
4.2  CHARACTERISTICS OF CURRENT ASSETS 
 
Working Capital management is influenced by two characteristics of current assets 
which are as follows (i) short life span (ii) swift transformation into other asset forms. 
 
Current assets have a short life span, cash balances can remain idle for 7 to 14 days, 
while accounts receivable usually have a life span ranging from 30 to 90 days and 
inventories may be held for 30 to 100 days. 
 
Each current asset is transformed into another current asset. This transformation will 
depend upon the time and degree of synchronisation of procurement, production, sales 
and collection of receivables. 
 
The production process starts with the purchase of raw material resulting in either 
decrease in cash or creation of accounts payable. The raw material purchased from the 
inventory, which is further processed to produce finished goods. Finished goods are 
74 
 
 
Working Capital 
Decisions
sold resulting in either increase in cash or creation of accounts receivable while the 
discharge of accounts payable results in cash outflow. The current asset cycle and the 
operating cycle are shown in Figures 4.1 and 4.2 respectively. 
 
 
 
 
 
 
 
 
Receivable 
Suppliers 
Raw material 
Work in process 
Cash 
Wages, Salaries 
Factory Overheads 
Accounts 
Finished goods 
Figure 4.1: Current asset cycle 
 
 
 
 
 
Collection of Accounts 
Receivables 
Purchase of Raw Material 
Raw Material 
Inventory
Work in 
Progress
Finished Goods 
Sales 
Account 
Receivable 
Cash 
 
 
 
 
 
 
 
 
            Figure 4.2: Operating Cycle 
75
 
Financial Management 
and Decisions 
 
4.3  OPERATING CYCLE CONCEPTS 
Operating cycle refers to the average time lapse between the acquisition of raw 
material and the final cash realisation. This concept is used to ascertain the 
requirements of cash working capital to meet the operating expenses. Figure 4.3 
depicts the operating cycle and the cash cycle. 
   
 
 
 
 
 
Accounts payable 
period 
PDP 
Inventory Period 
 
RMCP+WIPCP+FCGP 
Inventory Period 
 
RMCP+WIPCP+FCGP 
Stock 
arrives Order placed  Accounts 
Receivable period 
 
(BDCP) 
 
 
 
Cash Cycle 
Operating cycle 
Cash Paid for 
material 
Firm receives 
invoice 
Figure 4.3: Operating cycle  
 
From the above figure you can easily estimate that the time which lapses between the 
purchase of raw material and the collection of cash for sales is referred to as operating 
cycle, whereas the time length between payment of raw material purchases and 
collection of cash for sales is referred to as cash cycle. 
 
In the operating cycle the inventory period consists of: 
 
(i)  Raw Material Conversion Period (RMCP), which is the time gap between 
purchase of raw material and the issuance of raw material for production. 
 
(ii)  Work in Progress Conversion Period (WIPCP), which is the time gap between 
issuance of raw material and the conversion of raw material into finished 
goods. 
(iii)  Finished Goods Conversion Period (FGCP), which is the time gap between 
sale of goods and the transfer of finished goods from shop floor to the 
warehouse. 
(iv)  Book Debt Collection Period (BDCP), which is the time gap between sales 
and realisation of cash 
 
Now the length of the operating cycle for direct material can be calculated as follows: 
 
Gross operating cycle = RMCP+WIPCP+FGCP+BDCP 
Net Operating Cycle = Gross Operating Cycle  PDP 
        = RMCP+WIPCP+FGCP+BPCP-PDP 
 
Where PDP is the Payment Deferral Period PDP is the credit time extended by 
suppliers to pay for the purchases. 
76 
 
 
Working Capital 
Decisions
4.4  FACTORS INFLUENCING WORKING 
CAPITAL REQUIREMENTS 
The working capital needs of a firm are influenced by many factors. The important 
ones are as follows: 
1.  Nature of business: The working capital requirement of a firm is closely related 
to the nature of its business. In general businesses with short operating cycles will 
require lesser amount of working capital as compared to businesses with longer 
operating cycles. The firms engaged in manufacturing and trading will require 
more working capital as large amount of funds are locked in inventories and 
receivables. In general utility companies and service companies (water supply, 
electricity undertakings, telecom companies) will require lesser amount of 
working capital as compared to manufacturing and trading concern. Table 4.2 
shows the relative proportion of investment in current assets and fixed assets of 
certain industries. 
Table 4.2: Proportion of current assets and fixed assets 
Current Assets %  Fixed Assets %  Industries 
10-20 
20-30 
80-90 
70-80 
Hotels and restaurants 
Electricity generation and 
Distribution 
30-40 
40-50 
60-70 
50-60 
Aluminum and Shipping 
Iron and Steel, Basic 
industries, Chemicals 
50-60 
60-70 
40-50 
30-40 
Tea plantation 
Cotton textiles, Sugar 
70-80 
80-90 
20-30 
10-20 
Edible oils, Tobacco 
Trading, Construction 
 
2.  Business Cycle: During economic boom there is increased production which 
  require higher amount of working capital, but this is partly off set by reduced 
  operating cycle. At the time of economic recession again there would be need 
  for increased working capital, as large amount of funds would be locked in 
  inventories and receivables. 
 
3.  Seasonal Variations: Commodities with seasonal demand results in increased 
level of working capital requirement. This could be offset by scaling down 
operations during the lean part of the year and increasing production prior to 
demand period. Products manufactured with raw materials, the production of 
which is seasonal (agricultural products) would require higher amount of 
working capital. 
4.  Size of Business: Size of the firm is also a determining factor in estimating 
working capital requirements. The size of a firm may be measured either in 
terms of scale of operations, or assets or sales. Large firms require more amount 
of working capital for investment in current assets and also to pay current 
liabilities than smaller firms. However, in some cases even a small firm may 
need more working capital as a cushion against cash flow interruptions. 
 
5.  Change of Technology: Changes in technology generally leads to 
improvements in the efficient processing of raw material, decrease in wastages, 
higher productivity and more speedy production. All these improvements lead 
to reduction in investment in inventories, which in turn leads to reduction in 
working capital requirement. If changed technology results in shorter 
manufacturing process the lesser would be the requirements of working capital.
77
 
Financial Management 
and Decisions 
 
6.  Length of Operating or Working Capital Cycle: As explained in the section 
dealing with operating cycle concept of working capital the amount of working 
capital will depend upon the duration of operating cycle. The operating cycle in 
turn is dependent on many other variables such as length of manufacturing 
process, debtors collection period, etc. 
 
7.  Firms credit policy: The credit policy of the firm also impacts working capital 
needs. A firm following liberal credit policy will require more amount of 
working capital, as a large amount of funds would be blocked in debtors.  
 
4.5  SOURCES OF WORKING CAPITAL   
Sources of Working Capital Finance 
Working capital finance may be classified into the following: 
  Spontaneous Source of Finance 
Finance which naturally arise in the course of business is known as spontaneous 
financing. Trade creditors, credit from employees, credit from suppliers of 
services, etc., are the examples of spontaneous financing. 
  Negotiated Financing 
Financing which has to be negotiated with lenders, say commercial banks, 
financial institutions, general public is known as negotiated financing. This kind 
of financing may either be short-term in nature or long-term. 
Before spontaneous and negotiated sources of finance, the latter is more expensive 
and inconvenient to raise. Spontaneous source of finance reduces the amount of 
negotiated financing. Working capital can be classified into long-term and short-
term sources, which can be analysed as shown in Figure 4.4 
 
   Internal 
-   Retained  
   profit 
- Provision   
  for depre- 
  ciation 
      External 
- Share capital 
- Long term loan
- Debentures 
     External
- Bank overdraft/ 
  Cash Credit 
- Trade deposits 
- Public deposits 
- Bills discounting    
- Short term loans
Internal 
-  Provision         
for tax 
-  Provision  for 
  dividend 
Long term 
sources
Short term  
sources 
Trade credit 
-  Sundry creditors 
-  Bills/Notes payable 
  and others 
Spontaneous     
sources 
Negotiated       
sources 
     Sources  of 
Working Capital 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Figure 4.4: Financing Mix of Working Capital 
 
  Trade Credit  78 
 
 
Working Capital 
Decisions
Trade credit is a spontaneous source of finance which is normally extended to 
business organization depending on the custom of the trade and competition 
prevailing in the industry and relationship of the suppliers and buyers. This 
form of business credit is more popular since it contributes to about one-third of 
the total short-term credit. The dependence on this source of working capital 
finance is higher due to negligible cost of finance as compared to negotiated 
finances. 
 
It is a facility whereby business firms are allowed by the suppliers of raw 
materials, services, components and parts, etc., to defer immediate payment to a 
definite future period. Trade credit is generated when a company acquires 
supplies, merchandise or materials and does not pay for them immediately. If a 
buyer is able to get the credit without any legal evidence or instrument, it is 
termed as Open Account Trade Credit and appears in the Balance Sheet of the 
buyer as sundry creditors. When an instrument is given, notably negotiable 
instrument, in acknowledgement of the debt, the same appears in the final 
statement as Bills or Notes payable. 
 
  Invoice Discounting or Factoring 
If a company makes sales to a number of customers on credit terms it will have 
to wait for two or even three months before its debtors pay what they owe. This 
means that the debtors must be financed by the company, and the idea of 
factoring is to passover to the finance of debtors from the selling company to a 
special factoring, finance company or Bank. The factoring company after 
reviewing the amount of the debts and the creditworthiness of the debtors, will 
pay the selling company, at the end of the month in which the sales were made, 
the amount it can expect to receive from the debtors (less a percentage). In this 
way the selling company receives its money one or two months earlier than 
would normally be the case. The factoring company will then collect the debts 
from the selling companys customers when they fall due. 
 
  Bills of Exchange 
A bill is defined as an unconditional order in writing, addressed by one person 
to another, signed by the person giving it, requiring the person to whom it is 
addressed to, to pay on demand, or at a fixed or determinable future time, a sum 
certain in money to or to the order of a specified person or to the bearer.  
 
  Funds Generated from Operations 
Funds generated from operations, during an accounting period, increase 
working capital by an equivalent amount. The two main components of funds 
generated from operations are profit and depreciation. Working capital will 
increase along with the extent of funds generated from operations. 
 
  Deferred Tax Payments 
Another source of short-term funds similar in character to trade credit is the 
credit supplied by the tax authorities. This is created by the interval that lapses 
between the earning of the profits by the company and the payment of the taxes 
due on them. 
 
  Accrued Expenses 
Another source of spontaneous short-term financing is the accrued expenses that 
arise from the normal conduct of business. An accrued expense is an expense 
that has been incurred, but has not yet been paid. For most firms, one of the 
largest accrued expenses is likely to be employees accrued wages. For large 
firms, the accrued wages held by the firm constitute an important source of 
79
 
Financial Management 
and Decisions 
 
financing. Usually, accrued expenses are not subject to much managerial 
manipulation. 
 
  Working Capital Finance from Banks 
Working capital is an essential requirement for any business activity. Banks in 
India today constitute the major suppliers of working capital credit to any 
business activity. Recently, however, some term lending financial institutions 
have also announced schemes for working capital financing. 
 
  Bank Overdrafts 
Short-term borrowing of the kind made available principally by the clearing 
banks in the form of overdrafts is very flexible. When the borrowed funds are 
no longer required they can quickly and easily be repaid. It is also 
comparatively cheap. The banks will impose limits on the amount they can lend. 
 
  Line of Credit 
Line of credit is a commitment by a bank to lend a certain amount of funds on 
demand specifying the maximum amount of unsecured credit the bank will 
permit the customer to borrow at any point of time. The bank will charge extra 
cost over the normal rate of interest since it will keep the funds available to be 
made use of the funds by the customer at all times. 
 
  Revolving Credit 
The revolving credit facility will be given by the banker to the customer by 
giving certain amount of credit facility on a continuous basis. The borrower will 
not be allowed to exceed the limits sanctioned by the bank. Such credit facilities 
will be given by the banks to their customers in the form of over draft facility. 
In customer financing, credit cards are known for this source of financing. 
 
  Bridge Loans 
Bridge loans are available from the banks and financial institutions when the 
source and timing of the funds to be raised is known with certainty. When there 
is a time gap for access of funds, then for speeding up of or implementation of 
the projects, bridge loans will be provided. Such loans are repaid immediately 
after raising the funds. The cost of bridge loans is normally higher than the 
working capital facilities provided by the banks. At present the RBI has put a 
restriction on banks in giving bridge loans to curb malpractices in capital market 
dealings. 
 
  Transaction Loans 
These loans are provided by the Banker for short periods for a specific activity 
like financing for a civil contract work. When the customer receives payment, 
the transaction will be repaid by the customer. The lender will evaluate the 
ability of the cash flow of the borrower before sanctioning this type of loan. 
 
  Public Deposits 
Deposits from the public is one of the important source of finance particularly 
for well established big companies with a huge capital base. The period of 
public deposits is restricted to a maximum of three years at a time and hence, 
this source can provide finance only for short term to medium term, which 
could be more useful for meeting the working capital needs of the company. It 
is advisable to use the amounts of public deposits for acquiring assets of long-
term nature unless its pay back period is very short.  80 
 
 
Working Capital 
Decisions
  Suppliers Line of Credit 
Under this scheme, non-revolving line of credit is extended to the seller to be 
utilised within a stipulated period. Assistance is provided to manufactures for 
promoting sale of their industrial equipments on deferred payment basis. While 
on the other hand, this credit facility can be availed of by actual users for 
purchase of plant/equipment for replacement of modernisation scheme only. 
 
  Hire Purchase and Leasing 
It is a most familiar form of medium term financing in acquiring plant and 
machinery, vehicles, etc. In hire purchase transactions, the purchaser of goods 
will acquire the possession of goods on payment of initial deposit, but the title 
to the goods will only be passed on from seller to the purchaser after the 
payment of the remaining installments. 
 
  Intercorporate Loans and Deposits 
In the present corporate world, it is a common practice of companies with 
surplus cash to lend to other companies for a short period normally ranging 
from 60 days to 180 days. The rate of interest will be higher than the bank rate 
of interest and will depend on the financial soundness of the borrower company. 
This source of finance reduces the intermediation of banks in financing. 
 
  Commercial Paper (CP) 
The CP introduced into the Indian financial market, on the recommendations of 
the Vaghul Committee has become a popular debt instrument of the corporate 
world. CP is a debt instrument for short-term borrowing, that enables highly 
rated corporate borrowers to diversify their sources of short-term borrowings, 
and provides an additional financial instrument to investors with a freely 
negotiable interest rate. The maturity period ranges from three months to less 
than a year. Since it is a short-term debt, the issuing company is required to 
meet dealers fees, rating agency fees and any other relevant charges. 
Commercial paper is short-term unsecured promissory note issued by 
corporations with high credit ratings. 
 
  Salient Features: 
  Eligibility Criteria: A company can issue CP only if: 
  1)  Its tangible net worth is not less than Rs. 4 crore as per the latest audited 
    balance sheet; 
  2)  Its fund based working capital limit is not less than Rs. 4 crore; 
  3)  It has obtained the specified minimum credit rating for issuance of CP 
    from an approved credit rating agency. Such credit rating should not be 
    more than 2 months old at the time of issue of the CP; 
  4)  Its borrowal account is classified as standard by the financing bank; and 
  5)  It has a minimum current ratio of 1.33:1 as per the latest audited balance 
    sheet and the classification of current assets and liabilities are in  
    conformity with the Reserve Bank guidelines issued from time to time. 
 
  Bank Guarantees 
Bank guarantee is one of the facilities that the commercial banks extend on 
behalf of their clients in favour of third parties who will be the beneficiaries of 
the guarantees.  In fact, when a bank guarantee is given, no credit is extended 
and banks do not part with any funds. There will be only a guarantee to the 
beneficiary to make payment in the event of the customer on whose behalf the 
guarantee is given, defaults on his commitment. So, if the customer fails to pay 
as per the terms of the guarantee, the banker giving the guarantee has to pay and 
81
 
Financial Management 
and Decisions 
 
claim reimbursement from his client. The bankers liability arises only if this 
customer fails to pay the beneficiary of the guarantee. That is why bank 
guarantee limits are known as non-borrowings limits or not-fund limits. 
 
  Asset Securitisation 
The emerging financial scenario has created a fierce competition among the 
companies to raise funds through innovative financial products from the capital 
and/or money markets. Additional source of capital can be accessed through 
securitisation, relieving the normal receivable/deposit collection process for 
finance companies and banks, without disturbing the liabilities side of the 
balance sheet. Companies can raise finance and increase their lending activity 
thus, enhancing profitability. 
 
Meaning: 
The term Securitisation refers to both switching away from bank 
intermediation to direct financing via capital market and/or money market, and 
the transformation of a previously illiquid asset like automobile loans, mortgage 
loans, trade receivables, etc., into marketable instruments. 
 
Securitisation is a process of transformation of illiquid asset into security 
which may be traded later in the open market. 
 
Securitisation is the process of transforming the assets of a lending institution 
into negotiable instruments. 
 
  Consortium Lending and Loan Syndication by Banks 
When the individual bank finds it difficult to meet the huge financial 
requirements of a borrower, it gives rise to multiple banking which may be in 
the form of (i) Consortium Lending or (ii) Loan Syndication. 
 
Consortium Lending: When the financial needs of a single unit are more than a 
single bank can cater to, then more than one bank comes together to finance the 
unit jointly spreading the risk as well as sharing the responsibilities of 
monitoring and finance. The arrangement is called consortium lending and it 
enables the industrial units to mobilise large funds for its operations. 
 
  Loan Syndication: There are two methods of syndication: direct lending and 
  through participation. 
 
 Direct Lending: In respect of direct lending all the lenders sign the loan 
agreement independently with the borrower and agree to lend upto their 
respective share. The obligations of the syndicate members are several and 
they do not underwrite one another. 
 
  Through Participation: In this method of lending the lead bank is the only 
lending bank, so far as the borrower is concerned, that approaches the other 
lender to participate in the loan. This normally takes place without the 
knowledge of the borrower. The lead bank grants a certain portion of the loan 
to each participant as agreed. It also agrees to pay to the participants a pro 
rata share of receipts from the borrower. 
4.6  STRATEGIES IN WORKING CAPITAL 
  MANAGEMENT 
 
82 
 
 
Working Capital 
Decisions
So far banks were the sole source of funds for working capital needs of the business 
sector. At present more finance options are available to a Finance Manager to enable 
smooth functioning of his/her firm. Depending on the risk exposure of business, two 
strategies are evolved to manage working capital. 
 
Conservative Working Capital Strategy 
 
A conservative strategy suggests the carrying high levels of current assets in relation 
to sales. Surplus current assets enable the firm to absorb sudden variations in sales, 
production plans, and procurement time without disrupting production plans. 
Additionally, the higher liquidity levels reduce the risk of insolvency. But lower risk 
translates into lower return. Large investments in current assets lead to higher interest 
and carrying costs and encouragement for inefficiency. But a conservative policy will 
enable the firm to absorb day to day business risks. It assures continuous flow of 
operations and eliminates worry about recurring obligations. Under this strategy, long-
term financing covers more than the total requirement for working capital. The excess 
cash is invested in short term marketable securities and in need, these securities are 
sold off in the market to meet the urgent requirements of working capital. 
 
 
      Secular Growth 
    Rs.   
 
   
     
                            
 
 
 
 
  Time 
 
Long-term 
Financing 
    Investment in 
Marketable Securities 
Seasonal 
Variations 
 
Figure 4.5: Conservative working capital strategy 
 
 
Aggressive Working Capital Strategy 
 
Under this approach current assets are maintained just to meet the current liabilities 
without keeping any cushion for the variations in working capital needs. The core 
working capital is financed by long-term sources of capital, and seasonal variations 
are met through short-term borrowings. Adoption of this strategy will minimise 
investment in net working capital and ultimately lower the cost of financing working 
capital. The main drawback of this strategy is that it necessitates frequent financing 
and also increases risk as the firm is vulnerable to sudden shocks. 
83
 
Financial Management 
and Decisions 
 
 
           Rs. 
  Seasonal Variations               
                              
  Short-term 
              Financing 
 
                                       
                                                 Secular Growth   
 
   
    
     
 
Long-term 
   Financing 
Time 
Figure 4.6: Aggressive Working Capital Strategy 
 
A conservative current asset financing strategy would go for more long-term finance 
which reduces the risk of uncertainty associated with frequent refinancing. The price 
of the firm has to pay for adopting of this strategy is higher financing costs since, 
long-term rates will normally exceed short term rates. But when such an aggressive 
strategy is adopted, sometimes the firm runs into mismatches and defaults. 
It is the cardinal principle of corporate finance that long-term assets should be 
financed by long-term sources and short-term assets by a mix of long and short-term 
sources. 
  
4.7  ESTIMATING WORKING CAPITAL 
REQUIREMENTS 
 
The most ticklish problem that is faced by the finance manager is the determination of 
the amount of working capital requirement at a particular level of production. To 
solve this problem, estimates of future requirements of current assets and cash flows 
are made. With the help of these cash flows, future requirements and availability of 
cash for current assets are ascertained. For this purpose a working capital forecast is 
prepared involving some calculations after taking into consideration the factors 
affecting working capital (as discussed above). All these calculations are made on 
cash basis. Thus, estimation of working capital is the determination of future cash 
requirements of a firm so that the liquidity of financial resources may be maintained. 
Following methods are generally used in estimating working capital for the future 
period: 
 
a)  Operating Cycle Method 
b)  Net Current Assets Forecasting Method 
c)  Projected Balance Sheet Method 
d)  Adjusted Profit and Loss Method 
e)  Cash Flow Forecast Method 
 
a) Operating Cycle Method 
Under this method, total operating expenses for a period are divided by the number of 
operating cycles in the relevant period to calculate the cash requirement for working 
84 
 
 
Working Capital 
Decisions
capital. Thus, the computation of total operating expenses, operating cycle period and 
number of operating cycles in the year is essential for estimating the amount of 
working capital, as discussed below: 
1.   Operating Expenses: These expenses include purchase of raw materials, direct 
labour cost, fuel and power, administrative and selling and distribution 
expenses for a specific period for which estimates can be obtained from cost 
records. Depreciation, write off of intangible assets are not included in these 
expenses because these are non-cash items. Similarly, tax and dividend being 
appropriation of profits are also excluded from these expenses. Capital expenses 
are also not included in it. While estimating the amount of these expenses fact 
like changes in product mix, introduction of a new product or discontinuation of 
an old product should be made for the changes occurring in expenses and price 
level due to internal and environmental factors. 
 
2.   Operating Cycle Period: Period of operating cycle means the total number of 
days involved in the different stages of operation commencing from the 
purchase of raw materials and ending with collection of sale proceeds from 
debtors after adjusting the number of days credit allowed by suppliers. Thus, 
the operating cycle is the total period involved in different stages of operations, 
which may be calculated by using the following formula: 
OC  =  M+W+F+D-C 
Here,   OC  =  Operating Cycle Period 
               M  =  Material Storage Period 
    W  = Work in Process or Conversion Period 
    F   = Finished Goods Storage Period 
    D  =  Debtors Collection Period 
    C  =  Creditors Payment Period 
 
Material Storage Period (M)     = 
n Consumptio Average Daily
Materials Raw of Stock Average
   
Or 
            = 
Year/365 the for Consumed Material
Stock)1/2 Closing Stock (Opening   +
 
 
 WIP or Conversion Period (W) = 
Cost oduction Pr Average Daily
ocess Pr in Work of Stock Average    
 
OR 
= 
365 / Cost oduction Pr Total
2 / ) WIP g sin Clo WIP Opening (   +
 
 
(a)  Total Production or Factory Cost is calculated by adding opening stock of 
work-in progress in the total of direct material, labour and factory overheads 
and deducting from this the closing work-in-progress. Depreciation is 
excluded being a non-cash item. 
(b)  Sometimes the Conversion Period is also known as the Production Cycle 
Period. In case, information about this period is given, then conversion period 
is not to be calculated with the above formula. 
 
Finished Goods Storage Period (F) = 
Sold Goods of Cost ge DailyAvera
Goods Finished of Stock Average
 
OR 
 
365 / Sold Goods of Cost Total
2 / ) Stock g sin Clo Stock Opening (   +
 
85
 
Financial Management 
and Decisions 
 
Cost of Goods Sold is calculated by adding excise duty with the factory cost after 
adjusting opening and closing stock of finished goods. Administration/selling and 
distribution expenses are not considered in it, because, in financial accounting, stock 
of finished goods is valued at production or factory cost. 
 
Debtors Collection Period (D) = 
Day Per Sales Credit
Debtors Average
 
OR 
365 / Sales Credit Total
2 / .) Drs g sin Clo . Drs Opening (   +
 
Creditors Payment Period (C) = 
365 / Purchases Credit Total
Creditors Average
   
OR 
= 
365 / Purchases Credit Total
2 / .) Crs g sin Clo . Crs Opening (   +
 
 
Notes: In respect of the above formula the following points are worth noting 
 
  The Average value in the numerator stands for the average of opening balance 
and closing balance of the respective items. However, if only the closing 
balance is available, then even the closing balance may be taken as Average. 
  The figure 365 represents number of days in a year. However, there is no hard 
and fast rule and sometimes even 360 days are considered. 
  In the calculation of M, W, F, D and C, the denominator is calculated at cost 
basis and the profit margin is excluded. The reason being that there is no 
investment of funds in profits. 
  In the absence of any information, total purchases and total sales be treated as 
credit. 
 
3.  Number of Operating Cycles:  The number of operating cycles in a period are 
determined by dividing the number of days in a year i.e.365 by the length of net 
operating cycle. Expressed as formula- 
 
No. of Operating Cycles = 
Period Cycle Operating
365
 
 
4.  Amount of Working Capital: Once the operating expenses and the number 
  of operating cycles have been determined, the amount of actual working 
  capital required is calculated by dividing the total operating expenses for the 
  period by the number of operating cycles in that period. 
For example, if the total operating expenses for the year amounts to Rs. 45,000 
and the number of operating cycles in a year are assumed to be 3, the amount of 
working capital would be Rs.15,000 (Rs.45000/3). 
 
Alternatively, the working capital may be calculated by using the following 
formula: 
CS
N
OC
C WC    + =  
where WC = Working Capital 
               C = Cash Balance Required 
            OC = Operating Cycle Period 
             CS = Estimated Cost of Goods sold 
               N = Number of days in year 
86 
 
 
Working Capital 
Decisions
5.  Provision for Contingencies: After ascertaining the amount of working capital 
  as above, a certain amount say 5% or 10% may be added to cover 
  contingencies. It is to be noted that facts based on estimates may not be cent 
  percent accurate. Therefore, this provision is made to cover probable error  in 
these calculations. 
 
Example 4.1: Himalaya Ltd.s Profit and Loss Account for the year ended  
31
st
 December 2005 is given below. You are required to calculate the working capital 
requirements under operating cycle method. 
 
Trading and Profit & Loss Account 
For the year ended 31
st
 December, 2005 
Particulars  Rs.  Particulars  Rs.
To Opening stock: 
     Raw Materials 
     Work-in-Progress 
     Finished Goods 
To Purchases (Credit) 
To Wages & Mfg. Expenses 
To Gross Profit c/d 
 
To Administrative Exp. 
To Selling and Dist.Exp. 
To Net Profit 
 
           Total 
 
   10,000 
   30,000 
     5,000 
   35,000 
   15,000 
1,50,000 
 
   15,000 
   10,000 
   30,000 
 
   55,000 
By Sales (Credit) 
By Closing stock: 
Raw Materials 
Work-in-progress 
Finished Goods 
 
 
 
By Gross Profit b/d 
 
 
  Total 
 
1,00,000 
 
   11,000 
   30,500 
     8,500 
 
1,50,000 
   55,000 
 
 
 
   55,000
 
Opening and closing debtors were Rs. 6,500 and 30,500 respectively, whereas 
opening and closing creditors were Rs 5,000 and Rs. 10,000 respectively. 
 
Solution:  Computation of Operating Cycle 
 
1.  Raw Material Storage Period: 
      = 
n Consumptio Average Daily
Material Raw of Stock Average
 
     = 
365 / 000 , 34 . Rs
2 / ) 000 , 11 000 , 10 . Rs (   +
 
     =  days 113
15 . 93 . Rs
500 , 10 . Rs
=  
 
    Raw Material Consumed   = Opening Stock +Purchases  Closing Stock 
   =  Rs.10, 000+35,000-11,000 
   =  Rs.34, 000 
 
2.  Conversion or Processing Period 
  =
Cost oduction Pr ge DailyAvera
ogress Pr in work of Stock     Average
 
  =
365 / 500 , 48 . Rs
2 / ) 500 , 30 000 , 30 . Rs (   +
 
  =
88 . 132
250 , 30 . Rs
 
87
 
Financial Management 
and Decisions 
 
Production Cost:          Rs. 
Opening Work-Progress  30,000 
Add: Material Consumed (as Above)  34,000 
Add: Wages and Mfg. Expenses  15,000 
  79,000 
  Less: Closing Work-in Progress  30,500 
  48,500 
 
3.  Finished Goods Storage Period 
               = 
Sold Goods of Cost Average Daily
Goods Finished of Stock Average
 
                                     = 
365 / 000 , 45 . Rs
2 / ) 500 , 8 000 , 5 . Rs (   +
 
                                     =  days 55
29 . 123 . Rs
750 , 6 . Rs
=  
 
Cost of goods sold:      Rs. 
Opening Stock of Finished Goods  5,000 
Add: Production Cost (As above)  48,500 
  53,500 
Less: Closing Stock of Finished Goods  8,500 
  45,000 
 
 
4.  Debtors Collection Period   
  =
Sales Average Daily
Debtors Average
 
=
365 / 000 , 00 , 1 . Rs
2 / ) 500 , 30 500 , 6 . Rs (   +
 
= days 67
97 . 273 . Rs
500 , 18 . Rs
=  
 
5.  Creditors Payment Period 
=
Purchases Average Daily
Creditors Average
 
=
365 / 000 , 35 . Rs
2 / ) 000 , 10 000 , 5 . Rs (   +
 
= days 78
89 . 95 . Rs
500 , 7 . Rs
=  
 
6.  Net Operating Cycle Period: 
OC = M + W + F + D  C 
      = 113+228+55+67-78 
      = 385 Days 
 
Computation of Working Capital Requirement 
1.  Number of Operating Cycle Per Year = 
Period Cycle Operating Net
365
 
=  948 . 0
385
365
=  
88 
 
 
Working Capital 
Decisions
2.   
Total Operating Expenses: 
 
Rs 
Total cost of Production (as per 3)  45,000 
Add: Administrative Expenses  15,000 
Add: Selling And Distribution Expenses  10,000 
  70,000 
 
3.  Working Capital Required = 
year a in Cycles Operating of . No
Expenses Operating Total
 
            = 839 , 73 . Rs
948 . 0
000 , 70 .
=
Rs
 
Alternatively,  CS
N
OC
C WC    + =  
where WC = Working Capital 
 C = Cash Balance Required 
             OC = Operating Cycle Period 
             CS = Estimated Cost of Goods Sold 
    N = Number of days in a year 
000 , 70 . Rs
365
385
O WC    + =  
        = Rs. 73,835 
 
Note: The difference is due to approximation in the number of operating cycle: 
 
&  Check Your Progress 1   
1)  From the following information taken from SNS Company; calculate the working 
capital required using the operating cycle method. 
 
(1)  Annual sales are estimated at 1,00,000 units @ 20 per unit. 
 
(2)  Production and sales quantities coincide and will be carried on evenly 
throughout the year and production cost is: Material Rs. 10; Labour  
Rs.4; Overheads Rs. 4 per unit.   
 
(3)  Customers are given 60 days credit and 40 days credit is taken from 
suppliers. 
 
(4)  30 days of supply of raw material and 15 days supply of finished goods 
are kept in stock. 
 
(5)  The production cycle is 30 days and all materials are issued at the 
commencement of each production cycle. 
 
(6)  A cash balance equal to one-third of the other average working capital is 
kept for contingencies. 
 
89
 
Financial Management 
and Decisions 
 
2)  From the following information, extracted from the books of a manufacturing 
  company, compute the operating cycle period and working capital required: 
Period Covered: 365 days 
Average Period Allowed by Supplier: 16 days                    Rs. 
Average total of debtors outstanding  48,000
Raw Material Consumption 4,40,000
Total Production Cost  10,00,000
Total Cost of sales    10,50,000
Sales for the year  16,00,000
Value of Average Stock Maintained: 
Raw Material  32,000
Work-Progress  35,000
Finished goods  26,000
 
b)  Net Current Assets Forecasting Method 
 
This is the most practical method of estimating working capital requirements. Under 
this method, the finance manager prepares a working capital forecast. In preparing this 
forecast, first of all, an estimate of all the current assets is made on a monthly basis. 
Thus, estimate of stock of raw materials, amount of raw material that will remain in 
process, stock of finished goods and outstanding amount from debtors and other 
receipts will have to be made. This should be followed by an estimate of current 
liabilities comprising outstanding payments for material, wages, rent, and 
administrative and other expenses. The difference between the forecasted amount of 
current assets and current liabilities gives the networking capital requirements of the 
firm. 
 
To this amount, a flat percentage would be added by way of provision for 
contingencies. The resulting figure will be the amount of total estimated working 
capital required. From this, bank finance is to be subtracted, if available. The 
remaining balance will be the amount of working capital that is to be managed by the 
firm. The method of forecasting working capital needs is cash technique as all 
transactions are shown on cash cost basis.  
 
Statement showing working Capital Requirements 
(A)  Current   Amount            Rs. 
(i)  Stock of Raw Material (for month consumption)       .   
(ii)  (a) Work-in-Process (for months) 
(b) Direct Labour 
(c) Overheads 
     . 
     . 
     . 
 
(iii)  Stock of finished Goods (for months sales) 
(a) Raw Material 
(b) (b) Labour 
(c) Overheads 
 
 
 
 
 
(iv)  Sundry Debtors or Receivables ( for months sales) 
(a) Raw Material 
(b) Labour 
(c) Overheads  
 
 
 
 
-------------- 
 
(v)  Payment in Advance (if any)     
(vi)  Balance of Cash (required to meet day-to-day expenses) 
 
   
90 
 
 
Working Capital 
Decisions
(B)  Current Liabilities 
(i) Creditors (for months purchase of Raw Materials) 
(ii) Lag in Payment of Expanses 
      (Outstanding expenses months) 
(iii) Others (if any) 
Net Working Capital (A)  (B) 
Add: Provision for Contingencies  
Total Working Capital Required 
 
-------------- 
 
-------------- 
 
------------ 
 
 
 
Example 4.2: Prepare an estimate of working capital requirements from the following  
information of a trading concern: 
 
(a)  Projected Annual Sales  1,00,000 
(b)  Selling Price  Rs.8 per unit 
(c)  Profit Margin on Sales  25% 
(d)  Average Credit Period Allowed to Customers  8 weeks 
(e)  Average Credit Period Allowed by Suppliers  4 weeks 
(f)  Average Stock Holding in terms of Sales Requirement  12 weeks 
(g)  Allow 10% for Contingencies   
 
Solution:  
Statement Showing working Capital Requirements 
 
(a)  Current Assets 
Stock (12 Weeks) 
(Rs.6,00,00012/52) 
Debtors (8 weeks) 
Rs. 6,00,0008/52) 
Rs.
1,38,462 
   92,308 
2,30,770
Less:  Current Liabilities 
Creditors (4 weeks) 
(6,00,0004/52) 
Net Working Capital (AB) 
   46,154 
1,84,616
Add:  10% for Contingencies 
Total Working Capital Required 
   18,462
 
Working Notes 
 
(i)  Cost of Goods Sold 
 
Sales = Rs. 1,00,000  8 = Rs. 8,00,000 
 
Profits = Rs. 8,00,000  25%  = Rs. 2,00,000 
 
Cost of Sales = Rs. 8,00,0002,00,000= Rs. 6,00,000  
 
(ii)  As, it is a trading concern; hence cost of sales is treated as purchases. 
 
(iii)  Profits have been ignored because profits may or may not be used as source of 
working capital. 
91
 
Financial Management 
and Decisions 
 
Example 4.3: On 1
st
 January, 2005 the Board of Directors of Paushak Limited wanted 
to know the amount of working capital required to meet the programme they have 
planned for the year. From the following information, prepare an estimate of working 
capital requirements. 
 
Issued Share Capital  Rs. 2,00,000 
8% Debentures  Rs.    50,000 
Fixed Assets as on 1
st
 January  Rs. 1,25,000 
 
Production during the previous year was 60,000 units and it is proposed to maintain 
the same during 2005. The expected ratio of cost to selling price are: 
Raw Materials 60%; direct wages 10% Overheads 20%. 
 
The following further information is available: 
 
a)  Raw materials are expected to remain in the stores on an average for two 
months before being issued to the production unit. 
b)  Each unit of production is expected to be in process for one month. 
c)  Finished goods will stay in the warehouse awaiting dispatch to customers for 
approximately three months. 
d)  Credit allowed by creditors is two months from the date of delivery of raw 
materials. 
e)  Credit given to debtors is three months from the date of dispatch. 
f)  Selling price is Rs 5 per unit.  
 
Solution: 
Statement Showing working Capital Requirements 
 
(a)  Current Assets  Rs.  Rs.
(i)  Stock of raw material (2 months) 
(Rs.15,0002) 
 
   30,000
(ii)  Work-in-Progress (1 month) 
Material (Rs.15,0001) 
Labour (Rs.2,5001) 
Overheads (Rs.5,0001)  
 
15,000 
  2,500 
   5000 
 
 
 
   22,500
(iii)  Stock of finished Goods (3 months) 
Material (Rs.15,0003) 
Labour (Rs.2,5003) 
Overheads (Rs.5,0003) 
 
45,000 
  7,500 
15,000 
 
 
 
   67,000
(iv)  Debtors (3 months) 
Material (Rs. 15,0003) 
Labour (Rs. 2,5003) 
Overheads (Rs. 5,0003) 
 
45,000 
  7,500 
15,000 
 
 
 
   67,000 
1,87,500
(B)  Current Liabilities: 
Creditors for raw Material (2 months) 
Rs. 15,0002) 
Net working Capital required (AB) 
   
 
   30,000 
1,57,500
 
92 
 
 
Working Capital 
Decisions
Working Notes: 
 
1)  Debtors have been valued and calculated on sales basis which would be Rs. 
75,000 (60,0005312). Hence, working capital taking Current Assets at 
total value 
     Rs. 
Working Capital required as per above statement  1,57,500 
Add: Increase in Debtors (Rs. 75,000Rs.67, 500)         7,500 
                1,65,000 
 
2)  Monthly amount of each element of cost is calculated as follows- 
Total sales 60,000 5 = Rs. 3,00,000  
 
(a)  Raw Materials =  000 , 15 . Rs
12 100
60 000 , 00 , 3
=
 
 
(b)  Direct Labour =  500 , 2 . Rs
12 100
10 000 , 00 , 3
=
 
 
(c)   Overheads       =  000 , 5 . Rs
12 100
20 000 , 00 , 3
=
 
 
 
3)  It is assumed that labour and overhead in the beginning. Hence, full amount of 
labour and overhead is included in work-in-progress. If it is assumed that labour 
and overheads accrued evenly, half of the amount will be included in work-in-
progress. 
 
4)  Additional capital required will be Rs. 35,500 (Rs. 1,57,500-1,25,000), because 
Rs. 1,25,000 is available from long-term sources (share capital debentures-
Fixed assets) 
 
 
&  Check Your Progress 2 
 
1)  You are required to prepare for the Board of Directors of Suman Ltd. a 
statement showing the working capital needed to finance a level of activity of 
5,200 units of output. You are given the following information: 
 
Elements of Cost  Amount per unit (Rs.) 
Raw Material              8 
Direct Labour               2 
Overheads                     6 
Total Cost             16 
Profit               4 
Selling Price               20 
 
  (i) Raw Materials are in stock, on an average one month, (ii) Materials are in 
process, on an average half a month, (iii) Finished Goods are in stock on an 
average 6 weeks, (iv) Credit allowed to Debtors is two months, (v) Lag in 
payment of wages is 1
1/2
 weeks, (vi) Assume 52 weeks in a year and 4 weeks in 
a month. 
 
Cash in hand and at Bank is expected to be Rs. 7,300. You are informed that 
production is carried on evenly during the year and wages and overheads accrue 
evenly. 
93
 
Financial Management 
and Decisions 
 
2)  From the following information, you are required to estimate the net working 
capital: 
   
Cost Per unit (Rs.) 
Raw Material  200 
Direct Labour  100 
Overhead (excluding Depreciation)  250 
Total Cost  550 
 
  Estimated data for the forthcoming period are given below: 
 
Raw Material in Stock  Average 6 weeks 
Work-in-progress (assume 50% completion stage with 
full material consumption) 
Average 2 weeks 
 
Finished Goods in Stock  Average 4 weeks 
Credit Allowed by Suppliers  Average 4 weeks 
Credit Allowed to Debtors  Average 6 weeks 
Cash at Bank Expected to be   Rs.75,000 
Selling Price  Rs. 800 per unit 
Output  52,000 units per annum. 
 
Assume that production is sustained at an even pace during 52 weeks of the 
year. All sales are on credit basis. 
 
c)  Projected Balance Sheet Method 
Under this method, estimates, of different assets (excluding cash) and liabilities 
are made taking into consideration the transactions in the ensuring period. 
Thereafter, a balance sheet is prepared based on these forecasts. Assets and 
liabilities are called Projected balance sheet. The difference between assets 
and liabilities of this balance sheet is treated as shortage or surplus cash of that 
period. If the total liability is more than total assets, it represents excess cash, 
which is not required by the firm. The management may plan for its investment. 
On the contrary, if total assets are more than total liabilities, then it indicates the 
deficiency of working capital, which is to be arranged by the management either 
from bank overdraft or from other sources. 
 
d)  Adjusted Profit and Loss Method 
 
In this method, estimated profit is calculated based on transactions of the 
ensuing period. Thereafter, increase or decrease in working capital is computed 
adjusting the estimated profit by cash inflows and cash outflows. It is like cash 
flow statement. A few banks in India use forms for computing working capital 
under this method. A specimen of such a form is given below. 
 
Computation of Working Capital 
 
  Rs. 
Net Income  .. 
Add: (i) Non-cash Items   
Working Capital Provided Operations      
Add: (ii) Cash inflow Items  .. 
Less: Cash Outflow items  . 
Net Changes in Working Capital  .. 
e)  Cash Forecasting Method 
94 
 
 
Working Capital 
Decisions
In this method, estimate is made of cash receipts and payments in the ensuring 
period. The difference of these receipts and payments indicates deficiency or 
surplus of cash. The management formulates plans to procure the amount of 
deficit. This method, in a way, is a form of cash budget. 
 
Example 4.4: Calculate the operating cycle and the working capital requirements 
from the following figures: 
 
  Balance as at Balance as at
  1
st
 January  31
st
 December
      Rs.        Rs.
Raw Material     80,000     1,20,000
Work-in-Progress     20,000        60,000
Finished goods     60,000        20,000
Sundry Debtors     40,000        40,000
Wages and Manufacturing Expenses         -     2,00,000
Distribution and Other Expenses         -        40,000
Purchases of Materials         -     4,00,000
Total Sales         -   10,00,000
 
(i)  The Company obtains a credit for 60 days from its suppliers. 
(ii)  All goods were sold for credit. 
 
Solution: 
 
Computation of Operating Cycle 
 
(i)  Material Storage Period: 
= 
n Consumptio Average Daily
Materials Raw of Stock Average
 
 
= 
365 / 000 , 60 , 3 . Rs
2 / ) 000 , 20 , 1 000 , 80 . Rs (   +
 
=  days 38 . 101
3 . 986 . Rs
) 000 , 00 , 1 . Rs (
=  
 
Material Consumed = Opening Stock + Purchases  Closing Stock 
 
= Rs. 80,000 + 4,00,000-1,20,000 
= Rs. 3,60,000 
 
(ii) Conversion or Processing Period 
 
Cost Factory Average Daily
progress in Work of Stock Average    
 
 
= 
365 / 000 , 20 , 5 . Rs
2 / ) 000 , 60 000 , 20 . Rs (   +
 
 
=  days 07 . 28
65 . 424 , 1 . Rs
) 000 , 40 . Rs (
=  
Factory Cost:            Rs. 
 
95
 
Financial Management 
and Decisions 
 
Opening Work-Progress     20,000 
Material Consumed (as above)  3,60,000 
Wages and Mfg. Expenses  2,00,000 
  5,80,000 
Less: Closing Work-in-Progress     60,000 
  5,20,000 
 
(iii)  Finished Goods Storage Period 
 
Sold Goods of Cost Average Daily
Good Finished of Stock Average
 
 
= 
365 / 000 , 60 , 5 . Rs
2 / ) 000 , 20 000 , 60 . Rs (   +
 
 
=  days 07 . 26
25 . 534 , 1 . Rs
) 000 , 40 . Rs (
=  
 
Cost of Goods sold                 Rs. 
 
Opening Stock of Finished Goods     60,000 
Factory Cost (as above)  5,20,200 
  5,80,000 
Less: Closing Stock of Finished Goods  20,000 
  5,60,000 
 
(iii)  Debtors Collection period 
 
=   
Sales Average Daily
Debtors Average
 
 
=  
365 / 000 , 00 , 10 . Rs
2 / ) 000 , 40 000 , 40 . Rs (   +
 
 
=   days 6 . 14
7 . 739 , 2 . Rs
) 000 , 40 . Rs (
=  
 
Computation of Working Capital Required 
 
1.  Operating Cycle Period  =  M+W+F+D-C 
              =  101.38 +28.07+26.07+14.60-60 
  =  110.12 or 110 days 
 
 
2.  Total Cost of Sales      Rs 
 
Cost of Goods Sold        5,60,000 
Distribution and other Expenses           40,000 
            6,00,000 
3.  Cash Working Capital          =  CS
N
OC
C    +  
               =  822 , 80 , 1 . Rs 000 , 00 , 6 . Rs
365
110
O   =  +    
Example 4.5: Mr. Krishan wishes to commence a new trading business and gives the 
following information: 
 
The total estimated sales in a year will be Rs. 12,00,000.  96 
 
 
Working Capital 
Decisions
His expenses are estimated as fixed expenses of Rs. 2,000 per month plus variable 
expenses equal to five percent of this turnover. 
He expects to fix a sale price for each product which will be 25 percent in excess of 
his cost of purchase. 
He expects to turnover his stock four times in a year. 
The sales and purchases will be evenly spread throughout the year. All sales will be 
for cash and purchases on credit, but he expects one months credit for purchases. 
He keeps cash in hand to meet one months expenses. 
Calculate:   (a) His estimated profit for the year;  
(b) His average working capital requirements. 
 
Solution: 
 
(a) 
Estimated Profit of Mr. Krishan for the year 
 
Sales                  Rs.
Less: Gross Profit  
  
125
25
000 , 00 , 12  
Cost of Goods Sold 
 
Gross Profit (as above) 
Less: Expenses: 
Fixed    (   ) 12 2000
Variable 
  
100
5
000 , 00 , 12
 
 
 
 
 
 
 
24,000 
 
60,000
12,00,000 
2,40,000 
 
9,60,000 
2,40,000 
 
 
84,000 
1,56,000 
 
 
(b)    Statement of Average Working Capital Requirements 
 
(A) Current Assets:    Rs. 
(i)  Stock 
(ii)  Turnover of Stock is 4 times 
(iii)       Stock Turnover = 
t cos at stock Average
Sold Goods of Cost
 
 
Or  4 = 
Stock Average
000 , 60 , 9 . Rs
 
So Average Stock =  000 , 40 , 2 . Rs
4
000 , 60 , 9 . Rs
=  
(i)  Cash 
To meet fixed expenses 
To meet variable expenses 
   
12
1
100
5
000 , 00 , 12  
(ii) Debtors (as all the sales are for cash only) 
 
(B)   Current Liabilities 
(i)     Creditors [1 month/ (12,00,000x1/12)] 
(ii)   Working Capital Required (A-B) 
 
 
 
 
 
 
 
 
 
 
 
2,000 
5,000 
2,40,000 
 
 
 
 
 
 
 
 
 
 
 
    7,000 
 
        Nil 
2,47,000 
 
1,00,000 
 
1,47,000 
Total Purchases = Cost of Goods Sold + Closing Stock 
 
(As it is a new business, there is no opening stock) 
 
= Rs. 9,60,000 + 2,40,000 = Rs. 12,00,000. 
97
 
Financial Management 
and Decisions 
 
 
Example 4.6: Manekchand Ltd. Plans to sell 30,000 units next year. The expected 
cost of goods sold is as follows: 
  Rs. (Per units) 
 
Raw Material  100 
Manufacturing Expenses  30 
Selling Administration And Finance Expanses  20 
Selling Price  200 
 
The duration of various stages of the operating cycle is expected to be as follows: 
 
Raw Material Stage  2 month 
Work in Progress  1 month 
Fished Goods Stage   month 
Debtors Stage  1 months 
 
Assuming the monthly sales level of 2,500 units; estimate the gross working capital 
requirements if the desired cash balance is 5 % of the gross working capital 
requirement. 
 
Solution: 
Statement of Gross Working Capital Requirements 
 
Current Assets:  Rs. Rs.
(i)   Raw Material (2 months) 
            (Rs. 2,5001002) 
(ii)    Work in progress (1 month) 
            Raw material (Rs. 2,5001001) 
            Mfg. Expenses (Rs. 2,500301) 
(iii)  Finished good (1/2 months) 
Raw Material (Rs. 2,5001005) 
Mfg. Expenses (Rs. 2,50030.5) 
(iv)  Debtors (1 month) 
(Rs. 2,5001501) 
(v)  Cash 
 
(5% of gross working capital i.e., 13,62,5005/95) 
Gross Working Capital Required 
` 
 
 
2,50,000 
75,500 
 
1,25,000 
37,500 
 
5,00,000 
 
 
 
3,25,000 
 
 
1,62,500 
 
3,50,000 
  13,62,500 
       71,711 
  14,34,211 
Working Notes: 
 
1.  Selling administration and finance expenses are not included in the value of 
closing stock of finished goods but added in the cost of sales for valuing 
debtors. 
 
2.  It is assumed that degree of completion of work-in-progress is 100% as regards 
materials, labour and overhead and as such material and manufacturing 
expenses for the full period are included in the cost of work-in-progress. 
3.  It is assumed that all sales are credit sales. 
4.  Profit has not been treated as source of working capital hence fully ignored. 
&  Check Your Progress 3 
98 
 
 
Working Capital 
Decisions
1)  From the following particulars, calculate working capital adding 10% per 
annum for contingencies. 
 
(a)  Average amount backed up for stocks: 
  Stock of finished products 
  Stock of materials and stores 
   
1,000 
1,600
(b)  Average credit given: 
Home market 6 weeks credit 
Foreign market 1.5 weeks credit 
   
62,400 
15,600
(c)  Payment in Advance: 
    Sales promotion expenses 
    (Paid quarterly in advance) 
   
 
1,600
(d)  Lag in payment of wages and other expenses: 
   Wages 
   Materials and Stores 
   Office Salaries 
   Rent  
   Other expenses 
 
1.5 weeks 
1.5 months 
0.5 months 
6 months 
1.5 months
 
52,000 
9,6000 
12,480 
 2,000 
9,600
 
2)  M/s. ABC Limited have approached their bankers for their working capital 
requirements, who have agreed to sanction the same by retaining the margin as 
under. 
 
Raw Material  20%  Finished Goods  25% 
Stock-in-process  30%  Debtors  10% 
 
From the following projections for 2004-2005, you are required to work out: 
(i)  The working capital required by the company and 
 
(ii)  The working capital limits likely to be approved by bankers Estimates for 
2004-2005. 
 
Annual Sales:  Rs.
Cost Production (including depreciation of Rs. 1,20,000  14,40,000
Raw Material Purchases  12,00,000
Monthly Expenditures  7,05,000
Anticipated Opening Stock of Raw Materials  25,000
Anticipated Closing Stock of Raw Materials  1,40,000
Inventory norms: 
Raw Materials  2 months
Work in progress  15 days
Finished Goods  1 months
The company enjoys a credit of 15 days on its purchase and allows one-month 
credit to its debtors. On sales orders the company has received an advance of 
Rs. 15,000. 
You may assume that production is carried out evenly throughout the year and 
minimum cash balance desired to be maintained is Rs.10,000.  
3)  Bharat Company Ltd. sells goods in the home market only and earns a gross 
profit of 25 % on sales. For the year ending 31
st
 Dec; 2005, the following 
figures are available. 
Rs. 
Material used  1,12,500
Wages paid  90,000
99
 
Financial Management 
and Decisions 
 
Manufacturing expenses (including depreciation  1,35,000
Administrative expenses 30,000
Depreciation  15,000
Sales promotion expenses  15,000
Income Tax payable in four installments which falls in the next 
financial year 
37,500
Sales  4,50,000
 
Other particulars are 
1.  Suppliers of materials provide two months credit; 
2.  Wages are paid half month in arrear; 
3.  Manufacturing and administrative expenses are all cash expenses and are 
paid one month in arrear; 
4.  Sales promotion expenses are paid quarterly in advance;  
5.  Sales are made at one months credit; 
6.  Company wishes to keep one month stock of raw materials and also of 
finished goods; 
7.  The Company believes in keeping Rs. 25,000 available with it including the 
overdraft limit of Rs. 12,500 not yet utilised by the Company. 
 
You are required to ascertain the requirements of working capital for the year  
2005. 
 
4)  A Performa cost sheet of a Company provides the following particulars: 
 
Element of Cost  Amount per unit  
Rs.
Raw Materials  80
Direct Labour  30
Overhead  60
Total Cost  170
Profit  30
Selling Price  200
 
The following further particulars are available: 
Raw materials are on stock for one month on an average. Materials are in 
process of half month on an average. Finished goods are in stock for one month 
on an average. Credit allowed by suppliers is one month. Credit allowed to 
debtors is two months. Lag in payment of wages is 2 weeks. Lag in payment of 
overhead expenses is one month. 25% of output is sold for cash. Cash in hand 
and at bank is expected to be Rs. 30,000. 
 
You are required to prepare a statement showing the working capital needed to 
finance a level of activity of 1,04,000 units of production. You may assume that 
production is carried on evenly throughout the year. Wages and overhead accrue 
similarly and a time period of 4 weeks and 52 weeks is equivalent to a month 
and a year respectively. 
4.8  SUMMARY 
 
Financial decisions are based on certain considerations the main being the cash flows, 
cost and liquidity. Short-term financial decisions or working capital decisions are 
100 
 
 
Working Capital 
Decisions
different with regard to quantum and frequency of cash flows. There are two concepts 
of working capital: 
(i)  Gross Working Capital 
(ii)  Net Working Capital. 
 
The main characteristic of the current asset is that they change their form within one 
operating cycle. Working capital requirement is influenced by a variety of factors, the 
main among them is nature and size of business. There are various methods of 
calculating working capital requirement. In some the base figures are obtained from 
financial statements.  
 
4.9  SELF-ASSESSMENT QUESTIONS/EXERCISES 
 
1.  Explain the concept of working capital. Are gross and net concepts of working 
capital exclusive? Discuss. 
2.  What is the importance of working capital for a manufacturing firm? What will 
be the repercussions if a firm has (a) paucity of working capital (b) excess 
working capital? 
3.  What is the concept of working capital cycle? What is meant by cash 
conversion cycle? Why are these concepts important in working capital 
management? Give an example to illustrate your point. 
4.  Briefly explain factors that determine the working capital needs of a firm. 
5.  How is working capital affected by (a) Sales, (b) Technology and Production 
Policy, and (c) Inflation? Explain. 
6.  Define working capital management. Why is it important to study the 
management of working capital as a separate area in financial management? 
7.  Do you recommend that a firm should finance its current assets entirely with 
short term financing? Explain your answer. 
8.  What methods do you suggest for estimating working capital needs? Illustrate 
your answer. 
9.  Explain the difference between Gross and Net Working Capital. 
10.  What is the operating cycle concept of working capital? 
11.  State the difference between fixed and variable working capital. 
12.  How is working capital affected by the nature of business? 
13.  Why is excess working capital dangerous? 
14.  Explain the concept of working capital. What are the constituents of working 
capital of a company? 
15.  What is operating cycle concepts or working capital? How will you determine 
the amount of working capital under this method? Explain with examples? 
16.   Inadequate working capital is disastrous whereas redundant working capital is 
a criminal waste. Critically examine this statement. 
17.  What is the concept of Working Capital? What factors determine the needs of 
working capital and how is it measured? 
101
 
Financial Management 
and Decisions 
 
18.  What is meant by working capital forecasting? Briefly explain the techniques 
used in making such forecasts. 
19.   Write short notes on the following: 
(i)  Operating Cycle of Working Capital 
(ii)  Types of Working Capital. 
 
Practical Questions 
 
 
1.  The following data has been taken from the financial records of Meenakshi 
Company Ltd. 
 
Raw Material  Rs. 40 per units 
Direct Labour  Rs. 20 per unit 
Overheads  Rs. 5,40,000 (Total) 
 
The following additional information is also available: 
1.  The management of the company is planning to manufacture 1,00,000 units in 
the coming year. The selling price per unit will be Rs. 125. There is perfect 
harmony between output and sales of the Company, which is maintained 
throughout the year. 
2.  The average storage period is 40 days for raw material and 30 days for 
finished goods. 
3.  The company sells goods to its customer on 30 days credit and purchase raw 
material on 60 days credit from its suppliers. 
4.  The duration of the production cycle in the Company is 20 days and the 
needed raw material is issued to the production at the beginning of each 
production cycle. 
5.  20% of the average working capital is kept as extra cash for contingencies. 
 
Assume 360 working days in the operating period, work out an estimate of the 
total requirements of working capital for the Company using Operating Cycle 
Method. 
2.   From the following data, compute the duration of the operating cycle and 
working capital requirements for each of the two years: 
 
Average Stocks:  Year 1 (Rs.)  Year 2 (Rs.)
Raw Material  20,000  27,000
Work-in-progress  14,000  18,000
Finished Goods  21,000  24,000
Purchase  96,000  1,35,000
Cost of Goods Sold  1,40,000  1,80,000
Sales  1,60,000  2,00,000
Debtors  32,000  50,000
Creditors  16,000  18,000
Assume 360 days per year for computational purposes. 
Forecasting Net Current Assets Methods 
3.   From the following information, you are required to estimate the working 
capital requirements of Mahesh Ltd. 
 
Raw Material Cost  0.75 per units 
Overheads  Rs. 15,000 per annum 
Labour  581/2 p. per unit  
102 
 
 
Working Capital 
Decisions
Output and Sales  10,000 units per month 
Selling Price  Rs. 5.00 per unit 
Buffer Stocks to be carried   
Raw Materials   2 weeks production 
Finished Goods   3 weeks supply 
 
The debtors on an average take 2.25 months credit. Raw Material is received in 
uniform deliveries daily and suppliers have to be paid at the end of the month 
when goods are received. Other creditors for overheads allow on an average     
1  months credit. Calculate the working capital required for February in the 
form, for presentation to the Board. For this purpose, you may assume that a 
month is a four-week period. 
 
4.   The Board of Directors of ABC Engineering Company Ltd. requests you to  
prepare a statement showing the working capital requirements forecast for an 
expected level of production of 22,000 tonnes. The following information is 
available for your computation. 
 
Raw Material to remain in stock on an average  4 weeks 
Processing Material in process  2 weeks 
Permanent Material in process  200 tonnes 
Finished Goods in Stock  6 weeks 
Credit allowed to Customers  8 weeks 
Expected ratio of material to sale price  72% 
Wages and Overheads  22% 
Selling Price per ton  Rs. 3,000 
 
5.   Prepare a working capital forecast from the given below information: 
 
Issued Share Capital  Rs. 4,00,000 
6% Debentures  Rs. 1,50,000 
Fixed Assets  Rs. 3,00,000 
 
Production during the previous year is 1-lac units. The same level of activity is 
intended to be maintained during the year. The expected ratios of cost to selling 
prices are: 
 
Raw materials 50% Direct Wages 10% Overheads 25%. The inventory holding 
norms are as under: 
 
Raw Material  2 months Consumption 
Stock-in-process  2 months cost of production 
Finished Goods  4 months cost of sales 
 
Besides sundry Creditors and Sundry Debtors are equivalent to 3 months 
purchases and 3 months sales respectively. Selling price is Rs. 6 per unit. Both 
production and sales are in regular cycle and wages and overhead accrue 
evenly. 
 
 
6.  The Board of Directors of Nanak Engineering Company Private Limited 
requests you to prepare a statement showing the working capital requirements 
forecast for a level of activity of 1,56,000 units of production. The following 
information is available for your calculation: 
 
Raw Material  90
Direct Labour  40
103
 
Financial Management 
and Decisions 
 
Overheads  75 
205 
Profits  60 
Selling Price  265 
 
1)  Raw Materials are in stock on an average for one month;  
2)  Materials are in process on an average two weeks;  
3)  Finished goods are in stock on an average one-month; 
4)  Credit allowed by suppliers one month; 
5)  Time lag in payment from debtors two months; 
6)  Lag in payment of wages is 1  weeks; and  
7)  Lag in payment of overheads is one month 
 
20% of the output is sold against cash. Cash in hand and at bank is expected to 
be Rs. 60,000. It is to be assumed that production is carried on evenly 
throughout the year, wages and overheads accrue similarly and time period of 4 
weeks is equivalent to a month and 52 weeks a year. 
7.  The following data is available from the cost sheet of a Company. 
                        Cost per unit 
 
Raw Material  50 
Direct Labour  20 
Overhead (including depreciation of Rs. 10)  40 
Total Cost  110 
Profit  20 
Selling Price  130 
 
Additional information: 
Average raw material in stock is for one month. Average material in progress is 
for half month. Credit allowed by suppliers is one month, credit allowed to 
debtors is one month. Average time lag in payment of wages: 10 days; average 
time lag in payment of overheads 30 days. 25% of the sales are on cash basis. 
Cash balance expected to be Rs. 1,00,000. Finished goods lie in the warehouse 
for one month. 
 
You are required to prepare a statement showing the working capital needed to 
finance a level of the activity of 50,000 units of output. Production is carried out 
evenly throughout the year and wages and overheads accrue similarly. State 
your assumptions if any, clearly. 
 
4.10  SOLUTIONS / ANSWERS 
Check Your Progress 1 
Solution 1 
Computation of Operating Cycle 
1.  Operating Period  Days 
  (i)  Raw Material Storage Period  30 
  (ii)  Finished Stock Storage Period  15 
  (iii)  Processing or Conversion Period  30 
  (iv)  Debtors Collection Period  60 
  135 
Less:  Creditors Payment Period  40 
    95 
2.  Number of Operating Cycle per year        365/95  =  3.842 
3.  Total Operating Expenses  Rs. 
  Raw Material (1,00,00010)  10,00,000 
104 
 
 
Working Capital 
Decisions
Labour (1,00,0004)  4,00,000 
  Overheads (1,00,0004)  4,00,000 
 
4.  Working Capital = 
Cycles Operating of . No
Expenses Operating Total
 
         = 
95 / 365 or 842 . 3
000 , 00 , 18 . Rs
 
 
Add: 1/3 for Contingencies      4,68,493 
    1,56,164 
Total Working Capital Required     6,24,657 
Alternatively 
CS
N
OC
C WC    + =  
       =  493 , 68 , 4 000 , 00 , 18
365
95
0   =  +  
Add: 1/3 for Contingencies  =  1,56,164 
          6,24,657   
 
Solution 2: 
Computation of Operating Cycle Period 
1.  Material Storage Period 
= 
n Consumptio Average Daily
Material Raw of Stock Average
 
       =        days 27
48 . 205 , 1
000 , 32
365 / 000 , 40 , 4 . Rs
000 , 32 . Rs
= =  
2.  Conversion Period 
Cost oduction Pr Average Daily
progress in work of Stock Average    
 
days 13
73 . 739 , 2
000 , 35
365 / 000 , 00 , 10 . Rs
000 , 35 . Rs
= =  
 
3.  Finished Goods Storage Period 
Sales of Cost Average Daily
Goods Finished of Stock Average
 
days 9
7 . 876 , 2
000 , 26
365 / 000 , 50 , 10 . Rs
000 , 26 . Rs
= =  
4.  Debtors Collection Period: 
= 
day per Sales
Debtors Average
 
= days 11
56 . 383 , 4
000 , 48
365 / 000 , 00 , 16 . Rs
000 , , 48 . Rs
= =  
 
105
 
Financial Management 
and Decisions 
 
1.  Operating Cycle Period  Days 
  (i)   Material Storage Period  27 
  (ii)  Conversion Period  13 
  (iii) Finished Goods Storage    Period  9 
 
(iv)  Debtors Collection Period 
11/60 
Less: Creditors Payment Period 
16/44 
 
2.  Number of Operating Cycle Per year   365/44 8.3 
3.  Total Operating Expenses   Rs. 10,50,000 
4.  Working Capital Required =
Year a in Cycles Operating of . No
Expenses Operating Total
 
               = 
3 . 8 . Rs
000 , 50 , 10 . Rs
 
               =  Rs. 1,26,506 
Alternatively 
575 , 26 , 1 . Rs
000 , 50 , 10 . Rs
365
44
0
CS
N
OC
C WC
=
 + =
 + =
 
 
Note:  A little difference between the two methods is due to approximation. 
Check Your Progress 2 
Solution 1: 
Statement Showing Working Capital Requirements 
(A)  Current Assets:  Rs.  Rs. 
  (i) Stock of Raw Materials (4 weeks): 
(ii) Work in process (2 weeks): 
Raw Materials (Rs.8002) 
Labour (Rs. 2001) 
Overheads (Rs.6001) 
(iii)      Stock of finished Goods (6 weeks): 
          Raw Materials (Rs.8006) 
           Labour (Rs 2006) 
          Overheads (Rs.6006) 
 
 
1,600 
   200 
   600 
 
4,800 
1,200 
3,600 
 
3,200 
 
 
 
2,400 
 
 
 
 
9,600 
  (iv)    Debtors (8weeks): 
Raw Materials (Rs.8008) 
          Labour (Rs.2008) 
                Overheads (Rs.6008) 
      (v)     Cash as per estimate 
      (B)     Less: Current Liabilities: 
(i)  Creditors (4 Weeks) 
(ii)     Lag in payment of wages (1
1/2
 Weeks): 
Labour (Rs.2001
1/2
) 
Working Capital Required (A-B) 
 
 
6,400 
1,600 
4,800 
 
 
3,200 
 
300 
 
 
12,800 
7,300 
35,300 
 
 
 
3,500 
31,800 
 
Working Notes: 
(1)  Weekly amount of each element of costs calculated as follows: 
Total Sales for of the year = 5,200Rs.20 = Rs.1,04,000 
(i)  Raw Material =  800 . Rs
20 52
000 , 04 , 1
=
 
106 
 
 
Working Capital 
Decisions (ii)  Direct Labour =  200 . Rs
20 52
2 000 , 04 , 1
=
  
 
(iii)  Overhead =  600 . Rs
20 52
6 000 , 04 , 1
=
  
 
Alternative Method 
 
Annual Production = 5,200 units 
Weekly production = 5,200/52 = 100 units 
Material = 100 Rs.8 = Rs.800  
Labour = 100Rs.2 = Rs.200 
Overhead = 100Rs.6 = Rs.600 
(2)  Debtors are calculated at cash cost of sales. 
(3)  It has been assumed that material is issued at the commencement in each 
production cycle, but labour and overheads are incurred in the process of 
production. Therefore, half of the amount (one week) is invested in the 
process. 
(4)  Profit may be or may not be a source of working capital. Payment of Income 
Tax and Dividend are adjusted in these profits, therefore, profits have not 
been considered. 
 
Solution 2 
Computation of Net Working Capital 
(A)  Current Assets  Rs.  Rs. 
  (i)   Stock of raw Materials (6 weeks) 
      (Rs. 52,0002006/52) 
(ii)   Work-in-progress (2 weeks) 
     Raw Materials (Rs.52, 000 2002/52)  
     Direct Labour (Rs.52,0001001/52) 
     Overheads (Rs.52, 0002501/52) 
(iii)  Stock of Finished Goods (4 weeks) 
(52,0008004/52) 
(iv)  Debtors (6 weeks) 
     (52,0008006/52) 
(v)   Cash at Bank 
 
 
 
4,00,000 
1,00,000 
2,50,000 
 
12,00,000 
 
 
 
  7,50,000 
 
22,00,000 
 
48,00,000 
     75,000 
90,25,000 
(B)  Current Liabilities 
(ii)  Creditors (4 Weeks) 
(iii)  (52,000 400    4/52) 
 
 
 
 
 
  8,00,000 
(c)  Net Working Capital (A-B)    82,25,000 
 
 
Working Notes: 
(i)  Debtors are taken at selling price as the amount of net working capital is to be 
calculated. If working capital requirements are to be calculated, then debtors 
should be taken at cash cost. 
 
(ii)  It is assumed that there is no time lag in payment of overheads. 
 
Check Your Progress 3 
Solution 1 
Computation of Working Capital Requirements 
(A) Current Assets  Rs.   Rs. 
107
 
Financial Management 
and Decisions 
 
(i)  Stock of Material and Stores 
(ii)  Stock of finished Goods 
(iii) Books Debts (a) Home (62,4006/52) 
                                 (b)  Foreign (15,6001.5/52) 
(iv)  Advance Payment (1,6003/12) 
 
(B)      Current Liabilities 
(i)  Creditors for Stores and Materials 
              (9,6001.5/12) 
 (ii) Outstanding expenses: 
         Wages (52,0001.5/52) 
         Office Salaries (12,480.5/12) 
         Rent (2,0006/12) 
Other Expenses (9,6001.5/12) 
   Net Working Capital (A-B) 
Add:  10% Contingency Allowance 
Average amount of working Capital required 
          
 
 
7,200 
450 
 
 
 
 
 
 
1,500 
520 
1,000 
1,200 
5,420 
5,230 
523 
5,753 
 
Working notes: 
(i)  For calculation purposes, 52 weeks or 12 months in a year are assumed. 
(ii)  In the absence of cash cost of current assets, the actual working capital will differ 
from that of amount computed above. 
 
Solution 2 
 
(i)  Statement Showing Working Capital Requirements 
(A) Current Assets  Rs.  Rs.
(i)    Cash Balance 
(ii)     Stock of Raw Materials (2 months) 
  (Rs. 7,20,0002/12) 
(iii)       Stock of Work-in-progress (15 days) 
   (Rs. 10,80,000.5/12) 
     (iv)        Stock of Finished Goods (1months) 
        (Rs. 10,80,0001/12) 
 (v)        Debtors (1 month) 
    (Rs. 10,80,0001/12) 
  (vi)     Monthly Expenditure 
 
(B)      Current Liabilities 
(i)  Creditors (15 days) 
(Rs. 7,05,000.5/12) 
(ii)  Advance received from Debtors 
 
Net Working Capital Required  (A)  (B) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
29,375 
15,000 
10,000 
 
1,20,000 
 
45,000 
 
90,000 
 
90,000 
25,000 
3,80,000 
 
 
 
44,375 
 
3,35,625 
 
(ii)  Working capital limits likely to be approved by bankers. 
  Particulars  Required by Co.  
(Rs.)
Margin 
              (Rs.) 
Allowed by 
bankers (Rs)
A.  Raw Materials  1,20,000 20% = 24,000  96,000
B.  Work-in-Progress     45,000 30% = 13,500  31,500
108 
 
 
Working Capital 
Decisions
C.  Finished Goods      90,000 25% = 22,500 67,500
D.  Debtors  90,000 10% = 9,000 81,000
E.  Expenses   25,000 NIL
  Working Capital Likely to be approved by Bankers.  2,76,000
 
Working Notes: 
Rs. 
A  Calculation of raw material consumed: 
Opening Stock of Raw Material 
Add: Purchases 
 
Less: Closing Stock of Raw Material 
Annual Consumption 
 
1,40,000 
7,05,000 
8,45,000 
1,25,000 
7,20,000
B  Cash cost of annual production 
Cost of production as given 
Less: Depreciation 
Rs. 
12,00,000 
  1,20,000 
10,80,000
 
(iii)   It is assumed that there is neither opening stock of finished goods nor closing 
stock. Hence, cost of sales is taken to Rs. 10,80,000 after deducting 
depreciation. 
 
Solution 3 
 
A  Current Assets        Rs. 
  (i)  Debtors (cash cost of goods sold i.e. (3,67,5002/12)  30,625 
  (ii)  Prepayments: Sales Promotion Expenses (15,0003/12)  3,750 
  (iii)  Stock of Raw Materials (Rs. 1,12,5001/12)  9,375 
  (iv)  Stock of finished good (Rs. 3,22.50012)  26,875 
  (V)  Cash in hand  25,000 
                                                                                      Total  956,25 
B    Current Liabilities   
  (i)  Sundry Creditors (Rs. 1,12,5002/12)  18,750 
  (ii)  Outstanding Expenses:   
    (a) Wages (Rs. 90,0005/12)  3,750 
    (b) Mfg. Expenses (Rs. 1,20,0001/12)  10,000 
    (c) Administration Expenses (Rs. 30,0001/12)  2,500 
  (iii)  Bank Overdraft  12,500 
                                                                                    Total  47,500 
C    Net Working capital Required (A-B)  48,125 
Working Notes:     
 
(i)  Cash Cost of Production and Total Cost is Calculated as under: 
    Rs. 
Sales  4,50,000 
Less: Gross Profit @ 25% on sales  1,12,500 
  3,37,500 
Less: Depreciation  15,000 
109
 
110 
Financial Management 
and Decisions 
 
Cash Production Cost   3,22,000 
Add: Administration Expenses 30,000 
Sales Promotion Expenses  15,000 
Total Cash Cost  3,67,500 
Or 
Material Consumed  1,12,500 
Wages Paid  90,000 
Cash Mfg. Expenses  1,20,000 
Cash Production Cost   3,22,500 
Add: Administration Expenses  30,000 
Sales Promotion Expenses   15,000 
Total Cash Cot  3,67,500 
(ii)    Debtors have been calculated at cash cost. 
(iii)   Income tax has been ignored because profits are not treated as source of working 
capital, while income tax is paid out of profits. 
Solution 4 
Computation of Working Capital Requirement 
A  Current Assets:  Rs. 
  (i)  Stock of Materials (1 months) 
(1,04,000804/52)  
 
6,40,000 
  (ii)  Work-in-progress (1/2 months) 
Materials Cost (1,04,000802/52) 
Labour Cost (1,04,000301/52) 
Overheads (1,04,000601/52) 
 
3,20,000 
60,000 
1,20,000 
  (iii)   Finished Goods (1 months) 
 Material Cost (1,04,000804/52) 
 Labour Cost (1,04,000304/52) 
 Overheads (1,04,000604/52) 
 
6,40,000 
2,40,000 
4,80,000 
  (iv)    Debtors (2 months) 
 (78,000708/52) 
20,40,000 
30,000 
  (v)   Cash Balance  45,70,000 
B     Current Liabilities   
  (i)   Creditors for Material (1 months) 
 (1,04,000804/52)  
 
6,40,000 
  (ii)   Outstanding Expenses 
 (a) Overheads (1 months) (1,04,000604/52) 
 (b) Wages (2 weeks) (1,04,000302/52)   
 
4,80,000 
1,20,000 
12,40,000 
C    Estimated Requirements of Working Capital (A-B)  33,30,000 
Working Notes: 
 
(ii)  25% of production i.e 26,000 units are sold for cash. Hence credit sales are 
  78,000 units. The cash cost of debtors is calculated on these units. 
(iii)  It is assumed that full material is issued in the beginning and labour and 
  overhead accrue evenly. Therefore, their 50% (one week) amount is included 
  in WIP. 
(iv)  Profit on cash as well as on credit sales may or may not be the source of 
  working capital. Income tax and dividends paid are to be adjusted from these 
  profits. Hence, profits are ignored. 
 
(v)  All the overheads are assumed to be variable. Working capital will be 
  reduced by the amount of depreciation. In absence of these data, estimates 
  cannot be accurate. 
(vi)  It is assumed that stock of raw material and finished goods is maintained on 
  the basis of goods produced. 
 
 
Cash and Treasury 
Management
 UNIT 1  CASH AND TREASURY 
MANAGEMENT 
Structure   Page Nos. 
1.0  Introduction        5 
1.1  Objectives       5 
1.2  Facets of Cash Management       6 
1.2.1  Motives for Holding Cash   
1.2.2  Cash Planning 
1.2.3  Determining Optimum Cash Balance 
1.3  Methods of Cash Flow Budgeting                                                                 12 
1.4  Investing Surplus Cash                                                                                  13     
1.5  Cash Collection and Disbursements                                                              14 
1.6  Treasury Management                                                                                   14 
1.6.1  Treasury Risk Management 
1.6.2  Functions of the Treasury Department   
1.7  Summary      18  
1.8  Self-Assessment Questions/Exercises      18 
1.9  Solutions/Answers      24 
 
1.0  INTRODUCTION 
Cash is an important current asset for the operations of business. Cash is the basic 
input that keeps business running continuously and smoothly. Too much cash and too 
little cash will have a negative impact on the overall profitability of the firm as too 
much cash would mean cash remaining idle and too less cash would hamper the 
smooth running of the operations of the firm. Therefore, there is need for the proper 
management of cash to ensure high levels of profitability. Cash is money, which can 
be used by the firm without any external restrictions. The term cash includes notes 
and coins, cheques held by the firm, and balances in their (the firms) bank accounts. 
 
It is a usual practice to include near cash items such as marketable securities and bank 
term deposits in cash. The basic characteristics of near cash items is that, they can be 
quickly and easily converted into cash without any transaction cost or negligible 
transaction cost. 
 
In the recent years we have witnessed an increasing volatility in interest rates and 
exchange rates which calls for specialised skills known as Treasury Management. 
Recent years have also witnessed an expanding economy due to which there is an 
increased demand of funds from the industry. 
 
1.1  OBJECTIVES 
 
After going through this unit, you should be able to: 
 
  understand the motives for holding cash; 
  prepare cash budget; 
  understand how surplus cash is invested;  
  understand how to reduce collection float, and 
  understand the role and function of treasury management. 
1.2  FACETS OF CASH MANAGEMENT 
5
 
Working Capital 
Management 
Cash management is concerned with the management of: 
  Cash inflows and outflows of the firm 
  Cash flows within the firm 
  Cash balances (financing deficit and investing surplus). 
 
The process of cash management can be represented by the cash management cycle 
as shown in Figure 1.1.  
 
 
 
 
 
Business 
operations 
Information 
and control 
Cash 
Collections
 
 
Deficit 
 
Surplus 
 
Borrow 
 
Invest 
 
 
 
 
 
 
 
 
 
 
 
Figure 1.1: Cash Management Cycle 
 
Sales generate cash  which is used to pay for operating activities. The surplus cash 
has to be invested while deficit has to be borrowed. Cash management seeks to 
accomplish this cycle at minimum cost. At the same time it also seeks to achieve 
liquidity and control. Cash management assumes more importance than other current 
assets because cash is the least productive asset that a firm holds; it is significant 
because it is used to pay the firms financial obligations. The main problem of cash 
management arises due to the difference in timing of cash inflows and outflows. In 
order to reduce this lack of synchronisation between cash receipts and payments the 
firm should develop appropriate strategies for cash management, encompassing the 
following: 
  Cash planning: Cash inflows and outflows should be planned. Estimates 
regarding cash outflows and inflows for the planning period should be made to 
project cash surplus or deficit. Cash budget should be prepared for this 
purpose. 
 
  Managing cash flows: Cash flows should be managed in such a way, that it,  
accelerates cash inflows and delays cash outflows as far as possible. 
 
  Optimum cash level: The firm should decide about the optimum cash balance, 
which it should maintain. This decision requires a trade of between the cost of 
excess cash and the cost of cash deficiency. 
 
  Investing surplus cash and financing deficit: Surplus cash should be invested 
in short term instruments so as to earn profits as well as maintain liquidity. 
Similarly, the firm should also plan in advance regarding the sources to finance 
short term cash deficit. 
 
The cash management system design is influenced by the firms products 
organisation structure, the market, competition and the culture in which it operates.                   
Cash management is not a stand-alone function but it requires close coordination, 
accurate and timely inputs from various other departments of the organisation. 
Cash 
payments 
6 
 
Cash and Treasury 
Management
 
1.2.1   Motives for Holding Cash 
The firms need to hold cash may be attributed to the three motives given below: 
 
  The transaction motive 
  The precautionary motive 
  The speculative motive. 
 
Transaction Motive: The transaction motive requires a firm to hold cash to conduct 
its business in the ordinary course and pay for operating activities like purchases, 
wages and salaries, other operating expenses, taxes, dividends, payments for utilities 
etc. The basic reason for holding cash is non-synchronisation between cash inflows 
and cash outflows. Firms usually do not hold large amounts of cash, instead the cash 
is invested in market securities whose maturity corresponds with some anticipated 
payments. Transaction motive mainly refers to holding cash to meet anticipated 
payments whose timing is not perfectly matched with cash inflows. 
 
Precautionary Motive: The precautionary motive is the need to hold cash to meet 
uncertainties and emergencies. The quantum of cash held for precautionary objective 
is influenced by the degree of predictability of cash flows. In case cash flows can be 
accurately estimated the cash held for precautionary motive would be fairly low. 
Another factor which influences the quantum of cash to be maintained for this motive 
is, the firms ability to borrow at short notice. Precautionary balances are usually kept 
in the form of cash and marketable securities. The cash kept for precautionary motive 
does not earn any return, therefore, the firms should invest this cash in highly liquid 
and low risk marketable securities in order to earn some returns. 
 
Speculative Motive: The speculative motive refers to holding of cash for investing in 
profit making opportunities as and when they arise. These kinds of opportunities are 
usually prevalent in businesses where the prices are volatile and sensitive to changes 
in the demand and supply conditions. 
 
1.2.2   Cash Planning 
Firms require cash to invest in inventory, receivables, fixed assets and to make 
payments for operating expenses, in order to increase sales and earnings and ensure 
the smooth running of business. 
 
In the absence of proper planning the firm may face two types of situations: i) Cash 
deficit, and ii) Cash Surplus. In the former situation the normal working of the firm 
may be hampered and in extreme cases this type of situation may lead to liquidation 
of the firm. In the latter case the firm having surplus cash may be losing out on 
opportunities of earning good returns, as the cash is remaining idle. In order to avoid 
these types of conditions the firms should resort to cash planning. Cash planning is a 
technique to plan and control the use of cash. It involves anticipating future cash 
flows and cash needs of the firm. The main objective of cash planning is to reduce the 
possibility of idle cash (which lowers the firms profitability) and cash deficits (which 
can cause the firms failure). Cash planning involves developing a projected cash 
statement from a forecast of cash inflows and outflows for a given period. These 
forecasts are based on present operations or anticipated future operations. The 
frequency of cash planning would depend upon the nature and complexity of the 
firms operations. Usually large firms prepare daily and weekly forecasts whereas 
medium and small firms prepare monthly forecasts. 
Cash Forecasting and Budgeting 
A cash budget is one of the most significant devices to plan and control cash receipts 
and payments. In preparation of a cash budget the following points are considered. 
  Credit period allowed to debtors and the credit period allowed by creditors to 
the firm for goods and services. 
7
 
Working Capital 
Management 
  Payment of dividends, taxes etc., and the month in which such payments are to 
be made. 
  Non-consideration of non-cash transactions (Depreciation). These type of 
transactions have no impact on cash flow. 
  Minimum cash balance required and the amount of credit/overdraft limit 
allowed by the banks. 
  Plan to deal with cash surplus and cash deficit situations.  
  Debt repayment (time and amount). 
Figure 1.2 highlights the cash surplus and cash shortage position over the period of 
cash budget for preplanning to take corrective and necessary steps. 
 
 
 
 
         00 
 
Cash and Bank +  
Balances 
 
 
 
                
                0 
 
 
Figure 1.2: Cash surplus and cash deficit situations 
Expected cash and 
bank balance with the 
mpany  co
Bank overdraft limit 
J     F    M    A    M    J     J     A    S    O    N   D 
             Time 
Cash 
Deficit 
Cash Surplus 
 
1.2.3  Determining Optimum Cash Balance 
One of the primary responsibilities of the financial manager is to maintain a sound 
liquidity position for the firm so that the dues are settled as and when they mature. 
Apart from this the finance manager has to ensure that enough cash is available for 
the  smooth running of operating activities as well as for paying of interest, dividends 
and taxes. In a nut shell there should be availability of cash to meet the firms 
obligation as and when they become due. The real dilemma which the finance 
manager faces is to decide on the quantum of cash balance to be maintained in such a 
way that at any given point of time there is neither cash deficit nor cash surplus. Cash 
is a non-earning asset; therefore, cash should be maintained at the minimum level. 
The cost of holding cash is the loss of interest/return had that cash been invested 
profitably. The cost of surplus cash is the cost of interest/opportunities foregone. The 
cost of shortage/deficit of cash is measured by the cost of raising funds to meet the 
deficit or in extreme cases the cost of bankruptcy, restructuring and loss of goodwill. 
Cash shortage can result in sub-optimal investment decisions and sub-optimal 
financing decisions. 
The firm should maintain optimum  just enough neither  too much nor too little cash 
balance. There are some models used to calculate the optimum cash balance that a 
firm ought to maintain. But the most widely known model is Baumols model. It is 
chiefly used when cash flows are predictable.  
 
Optimum Cash Balance:  Baumols Model 
 
The Baumol Model (1952) considers cash management problem as similar to 
inventory management problem. As such the firm attempts to minimise the total cost, 
8 
 
Cash and Treasury 
Management
which is the sum of cost of holding cash and the transaction cost (cost of converting 
marketable securities to cash). The Baumol model is based on the following 
assumptions: 
  the firm is able to forecast its cash need with certainty,  
  the opportunity cost of holding cash is known and it does not change over time, 
and 
  the transaction cost is constant. 
 
Let us assume that the firm sells securities and starts with a cash balance of C rupees. 
Over a period of time this cash balance decreases steadily and reaches zero. At this 
point the firm replenishes its cash balance to C rupees by selling marketable 
securities. This pattern continues over a period of time. Since the cash balance 
decreases steadily therefore the average cash balance is C/2. This pattern is shown in 
Figure 1.3. 
 
Cash Balance 
 
             C 
 
 
                                                                                               
 
 
    O   
Time 
Average 
Cash 
Balance 
C/2
Figure 1.3: Pattern of Cash Balance: Baumols Model 
The firm incurs a holding cost for maintaining a cash balance. It is an opportunity 
cost, that is the return foregone on marketable securities. If the opportunity cost is I, 
then the firms holding cost for maintaining an average cash balance is as follows: 
 
Holding Cost =I (C/2). 
 
The firm incurs a transaction cost whenever it converts its marketable securities to 
cash. Total number of transactions during the year would be the total fund 
requirement T divided by the cash balance C i.e., T/C. Since per transaction cost is 
assumed to be constant and if per transaction cost is B the total transaction cost would 
be B (T/C). 
 
The total cost may be expressed as: 
 
TC =I (C/2) +B (T/C) 
  Holding  
cost 
Transaction 
cost 
where 
 
C     =  Amount of marketable securities converted into cash per cycle 
I      =  Interest rate earned on marketable securities 
T     =  Projected cash requirement during the period 
TC  =  Total cost or sum of conversion and holding costs. 
 
The value of C which minimises TC may be found from the following equation 
I
2bt
* = C   
The above equation is derived as follows: 
9
 
Working Capital 
Management 
 
Finding the first derivative of total cost function with respect to C. 
2
c
bT
2
I
C d
TC d
 =  
Setting the first derivative equal to zero, we obtain  
0
c
bT
2
T
2
 =   
Solving for C 
I
2bt
* C  =  
One can verify for second derivative condition ensuring C* to be minimized. 
 
Example 1.1: M/s Sunrise Industries estimates its total cash requirement at Rs. 20 
million for the next year. The companys opportunity cost fund is 15 per cent  per 
annum. The company will have to incur Rs. 150 per transaction when it converts its 
short term securitites to cash. Determine the optimum cash balance. What is the total 
annual cost of the demand for optimum cash balance?  How many deposits will have 
to be made during the year? 
 
Solution: 
      C*    =     
I
2bT
 
      C*    =      
15 .
) 00 , 000 , 00 , 2 ( ) 150 ( 2
 
          =       Rs. 2,00,000 
                      
  The annual cost will be: 
  TC =I (C/2) +B 
C
T
  
        =0.15  
2
00 , 000 , 00 , 2
+ 150   
000 , 00 , 2
00 , 000 , 00 , 2
 
        =15,000 +15,000 
        =Rs. 30,000 
 
In this financial year therefore, the company would have to make 100 conversions. 
 
Short Term Cash Forecasts 
The important objectives of short-term cash forecast are: 
  determining operating cash requirement 
  anticipating short term financing 
  managing investment of surplus funds. 
The short-term cash forecast helps in determining the cash requirement for a 
predetermined period to run a business. In the absence of this information the finance 
manager would not be able to decide upon the cash balances to be maintained. In 
addition to this the information given earlier would also be required to tie up with the 
financing bank in order to meet anticipated cash shortfall as well as to draw strategies 
to invest surplus cash in securities with appropriate maturities. Some of the other 
purposes of cash forecast are: 
 
  planning reduction of short and long term debt 
  scheduling payments in connection with capital expenditure programmes 
  planning forward purchase of inventories  
  taking advantage of cash discounts offered by suppliers, and 
  guiding credit policy. 
10 
 
Cash and Treasury 
Management
 
1.3  METHODS OF CASH FLOW BUDGETING 
Cash budget is a detailed budget of income and cash expenditure incorporating both 
revenue and capital items. For control purposes the years budget is generally phased 
into smaller periods e.g., monthly or quarterly. Since the cash budget is concerned 
with liquidity it must reflect changes in opening and closing balances of debtors and 
creditors. It should also focus on other cash outflows and inflows. The cash budget 
shows cash flows arising from the operational budgets and the profit and asset 
structure. A cash budget can be prepared by considering all the expected receipts and 
payments for budget period. All the cash inflow and outflow of all functional budgets 
including capital expenditure budgets are considered. Accruals and adjustments in 
accounts will not affect the cash flow budget. Anticipated cash inflow is added to the 
opening balance of cash and all cash payments are deducted from this to arrive at the 
closing balance of cash.  
Format of Cash Budget 
 
                  Period :  First Quarter of 2005 
 
 
Months 
J an.  Feb.  March 
 
    Particulars 
     
  Rs.  Rs.  Rs. 
Balance b/d       
Receipts: 
     
Cash Sales 
.  .  . 
Cash collected from Debtors  .  .  . 
Calls on Shares and Debentures  .  .  . 
Sales of Investments  .  .  . 
                                        Cash Available (A)  .  .  . 
Payments:       
Cash Purchases 
.  .  . 
Payment to Creditors  .  .  . 
Wages and Salaries  .  .  . 
Expenses paid  .  .  . 
Dividend and Tax paid  .  .  . 
Repayment of Loans  .  .  . 
Purchase of Fixed Assets  .  .  . 
                                        Total Payments (B)  .  .  . 
Balance c/d (A-B)  .  .  . 
 
) Check Your Progress 1 
1)  ABC Co. wishes to arrange overdraft facilities with its bankers during the 
period April to J une of a particular year, when it will be manufacturing mostly 
for stock. Prepare a Cash-Budget for the above period from the following data, 
indicating the extent to which the company would require the facilities of the 
bank at the end of each month: 
  (a) 
Month  Sales 
Rs. 
Purchases 
Rs. 
Wages 
Rs. 
February  1,80,000  1,24,800  12,000 
March  1,92,000  1,44,000  14,000 
April  1,08,000  2,43,000  11,000 
May  1,74,000  2,46,000  10,000 
J une  1,26,000  2,68,000  15,000 
 
11
 
Working Capital 
Management 
(b) 50% of the credit sales are realised in the month following sales and 
remaining 50% sales in the second month following. Creditors are paid in the 
following month of Purchase. 
 
  (c) Cash in the Bank on 1st April (estimated) Rs. 25,000. 
2)  A company is expecting Rs. 25,000 cash in hand on 1st April 2005 and it 
requires you to prepare an estimate of cash position during the three months, 
April to J une 2005. The following information is supplied to you. 
 
Month  Sales 
Rs. 
Purchase 
Rs. 
Wages 
Rs. 
Expenses 
Rs. 
February  70,000  40,000  8,000  6,000 
March  80,000  50,000  8,000  7,000 
April  92,000  52,000  9,000  7,000 
May  1,00,000  60,000  10,000  8,000 
J une  1,20,000  55,000  12,000  9,000 
 
Other Information: (a) Period of credit allowed by suppliers is  two months;  
(b) 25% of sale is for cash and the period of credit allowed to customers for 
credit sale is one month; (c) Delay in payment of wages and expenses one 
month; (d) Income tax Rs. 25,000 is to be paid in J une 2005. 
 
 3)  From the following forecast of income and expenditure prepare a cash Budget 
for three months ending 30
th
 November. The Bank Balance on 1st September is 
Rs. 3,000. 
 
Month  Sales 
Rs. 
Purchase Rs.  Wages 
 Rs. 
Factory 
Exp. 
Expenses 
Rs. 
J uly  24,000  12,000  1,680  1,170  3,000 
August  22,950  12,600  1,740  1,230  3,600 
September  23,400  11,550  1,740  1,260  4,200 
October  2,000  11,250  170  1,530  4,800 
November  28,500  13,200  1,770  1,800  3,900 
 
 
  Other Information : (i) A sales commission @ 5% on sales which is due in the 
month following the month in which sales dues are collected is payable in 
addition to office expenses; (ii) Fixed Assets worth Rs. 19,500 will be purchased 
in September to be paid for in October; (iii) Rs. 5,000 in respect of debenture 
interest will be paid in October; (iv) The period of credit allowed to customers is 
two months and one months credit is obtained from the suppliers of goods;       
(v) Wages are paid on an average fortnightly on 1
st
 and 16
th
 of each month in 
respect of dues for periods ending on the date preceding such days; (vi) Expenses 
are paid in the month in which they are due. 
 
1.4  INVESTING SURPLUS CASH 
The demand for working capital fluctuates as per the level of production, inventory, 
debtors,  creditors etc. The working capital requirements is not uniform throughout 
the year due to the seasonality of the product being manufactured and business 
cycles. Apart from this, the working capital requirement would also depend upon the 
demand of the product and demand-supply situation of the raw material. Interplay of 
all these variables would determine the need for working capital at any point of time. 
 
In situations where the working capital requirement is reduced, it results in excess 
cash. This excess cash may be needed when the demand picks up. The firms may 
hold this excess cash as buffer to meet unpredictable financial needs. Since this 
excess cash does not earn any return the firms may invest this cash balance in 
marketable securities and other investment avenues. 
 
Since this excess cash balance is available only for a short period of time, it should be 
invested in highly safe and liquid securities. The three basic features  safety, 
maturity and marketability should be kept in mind while making investment decisions 
12 
 
Cash and Treasury 
Management
regarding temporary surplus cash. Here safety implies that the default risk (viz., 
payment of interest and principal amount on maturity) should be minimum. Since the 
prices of long-term securities are more sensitive to interest rate changes as compared 
to short-term securities the firms should invest in securities of short-term maturity. 
Marketability refers to convenience, speed and transaction cost with which a security 
or an investment can be converted into cash. 
 
Types of Short Term Investment Opportunities 
 
The following short-term investment opportunities are available to companies in 
India to invest their temporary cash surplus. 
 
a)  Treasury Bills: Treasury Bills are short-term government securities, they are 
sold at a discount to their face value and redeemed at par on maturity. They are 
highly liquid instruments and the default risk is negligible. 
 
b)  Commercial Papers: Commercial papers are short term, unsecured securities 
issued by highly creditworthy and large companies. The maturity of these 
instruments ranges from 15 days to one year. These instruments are marketable 
hence they are liquid instruments. 
 
c)  Certificate of Deposits: Certificate of Deposits are papers issued by banks 
acknowledging fixed deposits for a specified period of time, they are negotiable 
instruments, this makes them liquid. 
 
d)  Bank Deposits: Firms can deposit excess/surplus cash in a bank for a period of 
time. The interest rate will depend upon the maturity period. This is also a 
liquid instrument in the sense that, in case of premature withdrawal only a part 
of interest earned has to be foregone. 
 
e)  Inter-corporate Deposit: Companies having surplus cash can deposit its funds 
in a sister or associate company or to other companies with high credit 
standing. 
 
f)  Money Market Mutual Funds: Money market mutual funds invest in short 
term marketable securities. These instruments have a minimum lock in period 
of 30 days and returns are usually two percent above that of bank deposits with 
the same maturity. 
 
1.5  CASH COLLECTION AND DISBURSEMENTS 
Once the cash budget has been prepared and appropriate net cash flows established 
the finance manager should ensure that there does not exist a significant deviation 
between projected and actual cash flows. The finance manager should expedite cash 
collection and control cash disbursement. There are two types of floats, which would 
require the attention of finance managers. 
 
1) Collection Float: Collection float refers to the gap between the time, payment is 
made by the customer/debtor and the time when funds are available for use in the 
companys bank account. In simple words it is the amount tied up in cheques and 
drafts that have been sent by the customers, but has not yet been converted into cash. 
The reasons for this type of collection float are: 
   
  The time taken in postal transmission 
  The time taken to process cheques and drafts by the company, and 
  The time taken by banks to clear the cheques. 
 
13
 
Working Capital 
Management 
To reduce this float companies can use various techniques, which are as follows: 
 
a)  Concentration Banking: When the customers of the company are spread over 
wide geographical areas then instead of a single collection centre the company 
opens collection centres at the regional level. The customers are instructed to 
remit payments to their specific regional centres. These regional centres will 
open bank accounts with the branches of banks where it has collection 
potential. These branches will telegraphically or electronically transfer the 
collected amount to the Head Office bank account. This system accelerates 
cash inflows. 
 
b)  Lock Box System:   In this system, the customers are advised to mail their 
payments to a post office box hired by the firm for collection purposes near 
their area. The payments are collected by local banks who are authorised to do 
so. They credit the payments quickly and report the transaction to the head 
office. 
 
c)  Zero Balance Account: In this type of account any excess cash is used to buy 
marketable securities. Excess cash is the balance remaining after the cheques 
presented against this account are cleared. In case of shortage of cash 
marketable securities are sold to replenish cash. 
 
d)  Electronic Fund Transfer:  Through electronic fund transfer the collection 
float can be completely eliminated the other benefit of electronic fund transfer 
is instant updation of accounts and reporting of balances as and when required 
without any delay. 
 
2) Payment Float: Cheques issued but not paid by the bank at any particular time is 
called payment float. Companies can make use of payment float, by issuing cheques, 
even if it means as per books of account an overdraft beyond permissible bank limits. 
The company should be very careful in playing this float in view of stringent 
provisions regarding the dishonouring of cheques, loss of reputation etc. 
 
1.6  TREASURY MANAGEMENT 
Treasury management is defined as the corporate handling of all financial matters, 
the generation of external and internal funds for business, the management of 
currencies and cash flows and the complex strategies, policies and procedures of 
corporate finance. 
 
In todays exceptionally volatile financial markets and complex business 
environment, successful companies are directing their efforts aggressively to 
strengthen their treasury management strategy and tactics for accelerating cash flow, 
ensuring better management of unused cash, enhancing the performance of near cash 
assets, optimising their capital structure and financing arrangements, identifying and 
managing treasury risks and introducing more efficient and control oriented 
processes. The role of the Treasury function is rapidly changing to address these 
challenges in an effort to achieve and support corporate goals. 
 
Cash has often been defined as King and it is. However, it is no longer good 
enough just to mobilise and concentrate cash and then invest it overnight with pre-tax 
returns barely exceeding 5% when the cost of short and longer-term debt is 
significantly greater. The entire treasury cycle needs to be evaluated more closely. 
Questions such as, how can we harvest our cash resources better, where can we 
achieve the most efficient utilisation of our financial resources, and what are our 
alternative needs to be answered. Treasures and Chief Financial Officer (CFOs) need 
to get closer to the process of the overall treasury cash and asset conversion cycle 
(sales/revenue generation/cash flow) to better understand how, when and where cash 
will flow and then to take steps to enhance its utilisation. 
 
14 
 
Cash and Treasury 
Management
An effective, and efficient treasury management operations predicts, analyses 
and resolves the following questions which arise during business operations. 
 
  Do and will we have enough cash flow and funds available? 
  Are our near cash assets effectively utilised? 
  Should we pay down debt? Take on more debt? 
  Should we hedge our interest and currency risk exposures? 
  Where do our risks exist? What is the impact of those risks? 
  How effective is our risk identification and control processes? 
  How are these risks being mitigated? Are the methods adopted for mitigating 
risk effective? 
  Do we have enough experienced human resources? 
  Do we have the right tools and technology? 
  Are we actively identifying opportunities to unlock value? 
  Are we implementing effectively and are alternatives properly evaluated? 
  Are our Financial Risks managed within a reasonable tolerance level? 
 
By optimising the treasury operations and related risk management process, the 
companies can reap significant benefits such as: 
 
  Improve cash flows, enhance return or reduce interest expense. 
  Put money on the table. 
  Reduce excessive and unnecessary costs. 
  Introduce more effective technologies. 
  Enhance the utilisation of near cash assets. 
  Better control and mitigate operational and financial risks. 
  Streamline banking structure. 
  Strengthen controls and procedures. 
1.6.1  Treasury Risk Management 
A few of the main focus areas of treasury operations are as follows:   
1)  Cash Flow-Receipts and Disbursements: Accelerating the collection of cash 
receipts and mobilisation/consolidation of cash, improving effectiveness of 
lockboxes; cheque clearing, credit card payments, wire transfer systems, and 
electronic commerce initiatives to optimise cash utilisation. Design and operate 
effective and control oriented payment and disbursement systems. 
 
2)  Bank and Financial Institution Relations: Assess global banking and 
financial institutions relationships among themselves as well as with domestic 
ones and identify ways to maximize the value of these relationships. Enhance 
the value received from banking and financial products and implement more 
efficient processes and account structures to strengthen global cash and 
treasury risk management. Review capital structure and financing arrangements 
to maximise the utilisation of financial resources and minimise their cost. 
 
3)  Cash Management Controls: Assess and improve controls to minimise 
exposure to fraud and other such risks. This also strengthens and supports 
internal control initiatives. 
 
4)  Cash Forecasting and Information Reporting: Improve the reliability, 
accuracy and timeliness of data from domestic and international cash 
forecasting models and processes; and improve the effectives of treasury 
information reporting. 
 
15
 
Working Capital 
Management 
5)  International Cash Management: Optimize global cash and treasury risk 
Management by improving Foreign Exchange (FX) management system. 
 
6)  FX and Interest Rate Management: Evaluate foreign exchange and interest 
rate practices and strategy to identify, measure, manage and monitor these 
activities. Also, assess opportunities for improvement. 
 
The two main focus areas of treasury operations are: (i) Fund management, and       
(ii) Financial risk management. The former includes cash management and asset-
liability mix. Financial risk management includes forex and interest rate management 
apart from managing equity and commodity prices and mitigating risks associated 
with them. 
 
1.6.2  Functions of the Treasury Department 
The important functions of a treasury department are as follows: 
 
a)  Setting up corporate financial objectives 
 
  Financial aim and strategies 
  Financial and treasury policies 
  Financial and treasury systems. 
 
b)  Liquidity Management 
 
  Working capital management 
  Money transmission and collection management 
  Banking relationships. 
 
 
c)  Funding Management 
 
  Funding policies and procedures 
  Sources of funds (Domestic, International, Private, Public) 
  Types of fund (Debt, equity, hybrid). 
 
d)  Currency Management 
 
  Exposure policies and procedures 
  Exchange dealings including, hedging, swaps, future and options 
  Exchange regulation. 
 
e)  Corporate Finance 
 
  Business acquisitions and sales 
  Project finance and joint ventures. 
 
The main functions of the treasury department can be broadly classified as follows: 
 
a)  raising of funds 
b)  managing interest rate and foreign exchange exposure, and 
c)  maintenance of liquidity. 
 
Raising of funds in not a regular activity. During normal operations the funds which 
have already been raised are used for operations, but when the firm opts for new 
projects, or when the firms go for backward and forward integration, additional 
amount of funds are required. In these cases the treasury department has to look out 
for different sources of funds and decide upon the source. The treasury department 
16 
 
Cash and Treasury 
Management
will also decide the manner in which funds are to be raised viz., it should be either be 
through a public issue or private placement, through debt or equity. 
 
With the growing globalisation of economies all over the world, companies are 
increasingly exporting and importing goods and services. This gives rise to the 
problem of foreign exchange exposure. For example, company A exports goods 
worth Rs.44, 000, as of today which is equivalent to $1000 assuming an exchange 
rate of     Rs.44 =1$. The payment for this export order will be received after 3 
months. During this intervening period if the Indian rupee appreciates in comparison 
to dollar by 5% i.e., Rs. 41.80 =1$ the effective receipt after 3 months would be 
Rs.41, 800 only. In order to avoid this the company could take a forward cover 
through which the unfavourable movement in currency prices are evend out. 
 
The main function of the treasury department is to maintain liquidity. Liquidity here 
implies the ability to pay in cash the obligations that are due. Corporate liquidity has 
two dimensions viz., the quantitative and qualitative aspects. The qualitative aspects 
refer to the ability to meet all present and potential demands on cash in a manner that 
minimises costs and maximizes the value of the firm. The quantitative aspect refers to 
quantum, structure and utilisation of liquid assets. 
 
Excess liquidity (idle cash) leads to deterioration in profits and decreases managerial 
efficiency. It may also lead to dysfunctional behaviour among managers such as 
increased speculation, unjustified expansion and extension of credit and liberal 
dividend. On the other hand a tight liquidity position leads to constraints in business 
operations leading to, reduced rate of return and missing on opportunities. Therefore, 
the most important challenge before the treasury department is to ensure the proper 
level of cash in a firm. 
)  Check Your Progress 2 
1)  Optimising treasury operations results in: 
  ... 
  .. 
  .. 
2)  The main focus areas of treasury operations are: 
 
  a)     
  b)    .... 
c)   ..... .. 
   d)    
. 
3)  The main functions of treasury department are: 
  a)    
. 
  b)    
..... 
  c)    ...
  .. 
  d)   . 
. 
 
17
 
Working Capital 
Management 
1.7  SUMMARY 
In this unit we have discussed the motives for holding cash balances. Further we have 
discussed cash deficit /surplus situation and how this can be contained through the 
use of various models. Cash planning and forecasting is an important component of 
cash management and the principal tool for effective cash management is cash 
budget. We have also dealt with, how a firm can invest surplus cash and the type of 
instruments that a firm should  opt for. We have also examined collection float and 
payment float and the ways and means to reduce collection float. In the last section 
we have discussed the various functions of the treasury department and how an 
effective and efficient treasury department will bring down the financial cost and 
mitigate risks. 
 
1.8  SELF-ASSESSMENT 
QUESTIONS/EXERCISES 
1)  How do cash flow problem arise? What steps are suggested to overcome the 
problem? 
 
2)  What are the reasons for holding cash balance? 
 
3)  Explain the Baumol model of cash management. 
 
4)  Write a short note on Cash Conversion Cycle. 
 
5)  Write short notes on the following: 
 
  Lock Box system 
  Zero Balance Accounts. 
6)  How is temporary cash surplus managed? 
7)  What is cash flow budget? What are the methods used in the preparation 
of cash flow budget? 
 
8)  Treasury management mainly deals with working capital management and 
financial risk management. Explain. 
 
9)  Prepare the Cash Budget of Fashion Fabrics for the months April 2005 to J uly 
2005 (four months) from the details given below: 
(i)  Estimated Sales:              (Rs.) 
February 2005  12,00,000 
March 2005  12,00,000 
April 2005  16,00,000 
May 2005  20,00,000 
J une 2005  18,00,000 
J uly 2005  16,00,000 
August 2005  14,00,000 
 
(ii)  On an average 20% sales are cash sales. The credit sales are realised in the 
third month (i.e., J anuary sales in March). 
 
(iii)  Purchases amount to 60% of sales. Purchases made in a month are generally 
sold in the third month and payment for purchasing is also made in the third 
month. 
 
(iv)  Variable expenses (other than sales commission) constitute 10% of sales and 
there is a time lag of half a month in these payments. 
 
(v)  Commission on sales is paid at 5% of sales value and payment is made in the 
third month. 
 
18 
 
Cash and Treasury 
Management
(vi)  Fixed expenses per month amount to Rs. 75,000 approximately. 
 
(vii)  Other items anticipated:         Due 
 
Interest payable on deposits  1,60,000  (April, 2002) 
Sales of old assets  12,500  (May 2002) 
Payments of tax  80,000  (J une, 2002) 
Purchase of fixed assets  6,50,000  (J uly 2002) 
 
(viii)  Opening cash balance Rs. 1,50,000. 
 
Solved Examples 
Example 1: Company Ltd. has given the following particulars. You are required to 
prepare a cash budget for three months ending 31
st
 December 2005. 
 
(i)                   Rs. 
Months  Sales  Materials  Wages  Overheads 
August  40000  20400  7600  3800 
September  42000  20000  7600  4200 
October  46000  19600  8000  4600 
November  50000  20000  8400  4800 
December  60000  21600  9000  5000 
 
Credit terms are: 
 
(ii)  Sales/debtors - 10% Sales are on cash basis. 50% of the credit sales are 
collected in the following month and the balance too is collected in the 
following months: 
Creditors    Material 2 months 
        Wages 1/5 month. 
        Overheads 1/2 month. 
 
(iii)  Cash balance on 1
st
 October, 2005 is expected to be Rs. 8000. 
 
(iv)  Machinery will be installed in August, 2005 at the cost of Rs. 100,000 
The monthly instalment of Rs. 5000 will be payable from October onwards. 
 
(v)  Dividend at 10% on preference share capital of Rs.300,000 will be paid on    
1
st
 December 2005. 
 
(vi)  Advance to be received for sale of vehicle Rs. 20,000 in December. 
 
(vii)  Income-tax (advance) to be paid in December Rs. 5,000. 
 
Solution: 
(i)  Cash collected from debtors: 
Particulars  Aug.  Sept. Oct. Nov. Dec.
Cash Sales10%  4,000  4,200 4,600 5,000 6,000
Credit sales 90%  36,000  37,800 41,400 45,000 54,000
Collection debtors   
1
st
 Month 50%    18,900 20,700 22,500
2
nd
 Month 50%    18,000 18,900 20,700
Total    36,900 39,600 43,200
 
(ii)  Since the period of credit allowed by suppliers is two months the payment for  
19
 
Working Capital 
Management 
a purchase of August will be paid in October and so on. 
 
(iii)  4/5
th
 of the wages is paid in the month itself and 1/5
th
 will be paid in the next 
month and so on. 
 
(iv)  1/2 of the overheads is paid in the month itself and  will be paid in the next 
month and so on. 
XYZ Company Ltd. 
Cash budget for three months-October to December 2005 
                                                                                                       (Rs) 
Particulars  Oct. Nov.  Dec.
Opening cash balance  8000 11780  18360
Receipts   
Cash Sales  4600 5000  6000
Collection from debtors  36900 39600  43200
Advance from sale of vehicle  - -  20000
Total  49500 56380  87560
Payments   
Materials (creditors)  20400 20000  19600
Wages  7920 320  8880
Overheads  4400 4700  4900
Machinery (monthly instalment)  5000 5000  5000
Preference dividend  - -  30000
Income-tax advance  - -  5000
Total  37,720 38,020  73,380
Closing balance  11,780 18,360  14,180
 
Example 2: On 30
th
 September 2002 the balance sheet of M.Ltd. (retailer) was as 
under: 
 
Liabilities  Rs.  Assets  Rs. 
  Equipment (at cost)  20000 Equity shares of 
Rs.10 each fully paid  20000  Less: Depreciation  5000
Reserve  10000    15000
Trade creditors  40000  Stock  20000
Proposed dividend  15000  Trade debtors  15000
    Balance at bank  35000
  85,000    85,000
 
The company is developing a system of forward planning and on 1
st
 October 2005 it 
supplies the following information: 
 
Month  Sales  Purchases 
    Credit  Cash  Credit 
September 2005  Actual  15000  14000  40000 
October 2005  Budget  18000  5000  23000 
November 2005  Budget  20000  6000  27000 
December 2005  Budget  25000  8000  26000 
 
All trade debtors are allowed one months credit and are expected to settle promptly.  
 
All trade creditors are paid in the months following delivery. On 1
st
 October 2005 all 
equipments were replaced at a cost of Rs. 30,000. Rs.14, 000 was allowed in 
exchange for the old equipment and a net payment of Rs. 16,000 was made. The 
proposed dividend will be paid in December 2005. 
 
The following expenses will be paid: Wages Rs. 3000 per month Administration  
Rs. 1500 per monthly rent Rs. 3600 for the year upto 30
th
 September 2006 (to be paid 
in October 2005). You are required to prepare a cash budget for the months of 
October November, and December 2005. 
20 
 
Cash and Treasury 
Management
 
Solution: 
Cash Budget of M. Ltd. for the quarter ending 31
st
 December 2005 
          (Rs.) 
Particular 
 
October  November  December  Total 
 
Opening Balance  35,000  (9,100)  (12,600)  35000 
Cash receipts         
Sales         
Cash sales of current 
month 
5000  6000  8000  19000 
 
Collection of credit 
sales of previous month 
15000  18000  20000  53000 
 
Cash Payment         
Payment to creditors (of 
preceding  month 
purchase) 
40000  23000  27000  90000 
Payment  for  new 
equipment  
16000  -  -  16000 
Wages  3000  3000  3000  9000 
Administration 
expenses 
1500  1500  1500  4500 
Rent  3600  -  -  3600 
Dividend  -  -  15000  15000 
Total (B)  64100  27500  46500  138100 
Closing Balance  9100  12600  31100  31100 
Total (A)  55,000  1,49,000  15,400  1,07,000 
 
Example 3: From the following details furnished by a business firm, prepare its Cash 
Budget for April 2005:  
 
(i)  The sales made and collection obtained conform to the following pattern: 
 
Cash Sales  20% 
Credit Sales  40% collected during the month of sales 
30% collected during the first month 
following the month of sale 
25% collected during the second month 
following the month of sale 
5% become bad debts 
 
(ii)  The firm has a policy of buying enough goods each month to maintain its 
inventory at 2.5 times the following months budgeted sales. 
 
(iii)  The firm is entitled to 2% cash discount on all its purchases if bills are paid 
within 15 days and the firm avails of all such discounts. 
 
(iv)  Cost of goods sold without considering the cash discount is 50% of the sales 
value at normal selling prices. The firm records inventory net of discount. 
 
(v)  Other information:                
 
Sales                  (Rs.)  
 
J anuary 2005 (actual)  1,00,000 
February 2005 (actual)  1,20,000 
March 2005 (actual)  1,50,000 
April 2005 (budgeted)  170,000 
May 2005 (budgeted)  1,40,000 
 
                              (Rs.) 
Inventory on 31
st
 March 2005  2,25,400 
Closing cash balance on 31
st
 March, 
2005 
30,000 
21
 
Working Capital 
Management 
Gross purchases made in March 2005  1,00,000
 
(vi)  Selling general and administration expenses budgeted for April 2005 amounts 
to Rs. 45,000 (includes Rs. 10,000 towards depreciation). 
 
(vii)  All transactions take place at an even pace in the firm. 
 
Solution: 
Cash Budget for April 2005 
Particulars    (Rs.) 
Opening balance    30,000 
Collection from Sales:     
Cash Sales  (20% of Rs. 1,70,000)  34,000 
Collection against Credit Sales     
Feb. 2002 Sales  (25% of Rs. 96,000)  24,000 
March, 2002 Sales  (34% of Rs. 1,20,000)  36,000 
April, 2002 Sales  (40% of Rs. 1,36,000)  54,400 
Total    1,78,400 
Payments     
For purchases:     
March 2002  (Rs. 1,00,000 98% 1/2)  49,000 
April 2002  (Rs. 29,400 12)  14,700 
Selling, general and Admn. Expense excluding depreciation  35,000 
Total  98,700 
Budget Closing Cash balance  79,700 
Working Notes: 
Purchase Budget  Gross  Net 
Desired ending inventory  1,75,000  1,71,500 
Add Cost of Sales for April 2002  85,000  83,300 
Total requirements  2,60,000  2,54,800 
Deduct beginning inventory  2,30,000  2,25,400 
Purchases to be made in April, 2002  30,000  29,400 
 
Example 4:  Prepare a cash budget for the three months ended 30
th
 September 2005 
based on the following information: 
    (Rs.) 
Cash in bank on 1
st
 J uly, 2005  25000 
Monthly salaries and wages (estimated)  10000 
Interest payable in August 2005  5000 
 
(Rs.) 
Estimated  June July August  September
Cash sales (actual)  1,20,000 140000 152000  121000
Credit sales  100000 80000 140000  120000
Purchases  160000 170000 240000  180000
Other expenses  18000 20000 22000  21000
 
Credit sales are collected 50% in the month of sale and 50% in the following month.  
 
Collections from credit sales are subject to 10% discount if received in the month of 
sale and to 5% if received in the month following. 10% of the purchase are in cash 
and balance is paid in next month. 
 
Solution: 
Cash Budget for three months-July 2005 to September 2005 
    July August  September 
Opening Balance  (i)  25,000 57,500  96,500
Receipts     
22 
 
Cash and Treasury 
Management
Sales: Cash    1,40,000 1,52,000 1,21,000 
Credit Current month    36,000 63,000 54,000 
Previous month    47,500 38,000 66,500 
Total Receipts  (ii)  2,23,500 2,53,000 2,41,500 
Total Cash  (iii) =(i)+(ii)  2,48,500 3,10,500 3,38,000 
Payments:     
Purchases Cash    17,000 24,000 18,000 
Credit (Previous Month)    1,44,000 1,53,000 2,16,000 
Other expenses    20,000 22,000 21,000 
Interest    - 5,000 - 
Salaries and Wages    10,000 10,000 10,000 
Total Payment  (iv)  1,91,000 2,14,000 2,65,000 
Closing Balance  (iii)-(iv)  57,500 96,500 73,000 
1.9  SOLUTIONS/ANSWERS 
 
Check Your Progress 1 
1)  Cash Balance  April Rs. 56,000; O/D required  May Rs. 47,000 but 
assumed Rs. 50,000, J une Rs. 1,20,000 Total Rs. 1,70,000. 
 
2)  Closing Cash Balance: April Rs. 53,000; May Rs. 81,000 and J une  
Rs. 91,000. 
 
3)  Closing Cash Balance September Rs. 7,200 October Rs. 15,185 (Cr.); 
November Rs. 11,653 (Cr.). 
23
 
Receivables 
Management
UNIT 2   RECEIVABLES MANAGEMENT 
Structure   Page Nos. 
2.0  Introduction  25 
2.1  Objectives  25 
2.2  Terms of Payment  25 
2.3  Credit Policy Variables  27 
2.4  Credit Evaluation  32 
2.5  Monitoring Receivables  34 
2.6  Factoring  35 
2.7  Summary  37 
2.8  Self-Assessment Questions  37 
2.9  Solutions/Answers  39 
 
2.0  INTRODUCTION 
In the previous unit, we have seen how firms determine their needs for current assets 
and manage their holdings in cash and marketable securities. In a typical 
manufacturing company the debtors to total asset ratio varies from 20 to 25% which is 
a considerable investment of funds.  The effective management of this asset will have 
a significant effect on the profitability of the company.  The receivable (debtors) arise 
due to credit sales, which is undertaken in order to encourage customers to purchase 
goods or services. Accounts receivable use funds, and tying up funds in these 
investments has an associated cost which, must be considered along with the benefits 
from enhanced sales of goods and services.  In this unit we are going to discuss the 
various issues involved in management decisions of extending credit (i.e., accounts 
receivable).  
 
2.1  OBJECTIVES 
 
After going through this unit, you should be able to: 
  
  understand the need for establishing sound credit policy; 
  understand the various credit policy variables; 
  understand the credit evaluation process; 
  understand the techniques of monitoring receivables, and 
  understand the concept of factoring. 
 
2.2  TERMS OF PAYMENT 
Terms of payment vary widely in practice.  At one end, if the seller has financial 
resources, s/he may extend liberal credit to the buyers, on the other hand the buyer 
pays in advance and finances the entire trade cycle.  The terms of credit vary for 
different industries and are dictated by prevailing trade practices.  In general, 
businesses operating in monopoly environment will insist on advance/cash payment 
whereas business operating in a competitive environment will extend credit to the 
buyers. The major terms of payment are listed below: 
 
Cash Terms 
 
When goods are sold on cash terms, the sales consideration (payment) is received  
either before goods are sold (advance payment) or when the goods are delivered (cash  
on delivery) Cash term generally exist under the following conditions: 
 
25
 
Working Capital 
Management 
(a)   when goods are made to order  
(b)   when the buyer is perceived to be less credit worthy  
(c)   the seller is in strong bargaining position.  
 
Open Account 
 
Credit sales is generally on open account which implies that the seller ships the goods 
to the buyer and thereafter sends the bill (invoice). 
 
Consignment 
 
Under this type of terms, the goods are merely shipped to the consignee; they are not 
sold to the consignee.  The consignee then sell these goods to the third party.  One 
should note here that the title of the goods is retained by the seller till they are sold by 
the consignee to the third party.  Sales proceeds are remitted by the consignee to the 
seller.  
 
Negotiable Instruments/Hundi 
 
When the goods are sold on credit either through an open account or through 
consignment an formal legal evidence of the buyers obligation is not created.  In order 
to overcome this a more secure agreement usually in the form of a draft is sought.  A 
draft represents an unconditional order issued by the seller to the buyer asking the 
buyer to pay on demand (demand draft) or at some future certain date (time draft) the 
amount specified on the draft.  The draft is usually accompanied by the shipping 
documents that are deliverable to the drawee when he pays or accepts the draft.  Time 
drafts can be discounted with the bank.  The draft performs four useful functions:  
 
(a) it creates an evidence of buyer obligation  
(b) it helps in reducing the cost of finance  
(c) it provides liquidity to the seller  
(d) it is a negotiable instrument. 
 
Letter of Credit 
 
Under the documentary bills the seller faces a lot of risk  the risk of non-payment or 
non-acceptance of goods. This poses a major risk for the seller. This additional 
security under this method comes from the fact that, the letter of credit is issued by the 
bank and not by the party to the contract buyer. This instrument guarantees payment 
to the seller on fulfilment of certain conditions specified therein. The Letter of Credit 
can be defined as an instrument issued by a bank in favour of the seller (known as 
beneficiary) whereby the issuing bank undertakes to pay the beneficiary a certain sum 
against delivery of specific documents within a stated period of time. There are many 
forms of a letter of credit; the most widely used are as follows: 
 
1)  Revocable vs. Irrevocable Letter of Credit 
2)  Confirmed vs. Unconfirmed Letter of Credit 
3)  Revolving Letter of Credit 
4)  Transferable Letter of Credit 
5)  Back to Back Letters of Credit 
6)  With Recourse vs. Without Recourse Letter of Credit. 
 
 
2.3   CREDIT POLICY VARIABLES 
 
26 
 
Receivables 
Management
Each company should establish its own credit policy depending upon the ground  
situation and the environment in which it is operating.  The main objective of the 
credit policy is to stimulate sales as well as control expenses and bad debts associated 
with granting credit. The following are the main components of a credit policy. 
1)  credit period to be allowed to general customers 
2)  credit period to be allowed to special customers and the criteria for defining 
special customer to be predefined  
3)  credit rating system 
4)  cash discount policy or discount policy for pre-payment by debtors 
5)  collection policy 
6)  accounting system and management information system (MIS) for scrutiny and 
efficient management of debtors 
7)  policy for dealing with bad and doubtful debts 
8)  credit insurance cover 
9)  proper documentation of credit sales. 
 
If we regroup the above components they can be classified under the four dimensions 
of a firms credit policy which are as follows: 
a)  credit standards 
b)  credit period 
c)  cash discount 
d)  collection effort.   
 
Deciding on the credit policy involves a trade off between sales and expenses/losses.  
Decreasing credit standards would increase sales but at the same time would lead to 
increase in bad debt losses.  The same is true for other variables of credit policy also.  
Now let us examine the effect of each of these variables on the net profit on the firm. 
 
Credit Standards 
 
This variable deals with the granting of credit.  On one extreme all the customers are 
granted credit and on the other extreme none of them are granted credit irrespective of 
their credit rating, but in todays competitive environment this is not possible.  In 
general liberal credit standards lead to increased sales accompanied by higher 
incidence of bad debts, tying of funds in accounts receivable and increased cost of 
credit collection. Stiff or tight credit standards lead to decreased sales, lower incidence 
of bad debts, decreased investment in accounts receivable and decreased collection 
cost. 
  
The quantitative effect of relaxing the credit standards on profit can be estimated 
by the equation 2.1 
 
) 1 . 2 ( t) 1 ]( ) 1 ( [   I k b S V S NP
  n
         = 
 
where 
 NP  =  Change in net profit 
 S  =  Increase in sales 
V  =  Ratio of variable cost to sales 
b
n
  =  Bad debt ratio on new sales 
T  =  Tax rate 
K  =  Cost of capital 
 I  =  Increase in receivable investment 
 I  =  V ACP
360
S
 
  
 
27
 
Working Capital 
Management 
360
S 
  =   Average daily change (increase in sales) 
ACP  =   Average collection period 
 
Now let us see how each component of equation 2.1 affects net profit.  S (1V) 
represents the increase in gross incremental profit, due to relaxed credit standard and 
for this purpose gross profit, is defined as Sales-Variable cost.  Sb
n 
calculates the 
bad debts on incremental sales.  The first part of the equation [ S (1V)    Sb
n
] 
(1-t) represents the post tax operating profit arising out of incremental sales and k  I 
measures the post tax opportunity cost of capital locked in additional investment on 
account of relaxed credit standards. The pre tax operating profit is multiplied by (1t) 
in order to get past tax operating profit.  
 
Example 2.1:  The current sales of M/s ABC is Rs.100 lakhs. By relaxing the credit 
standards the firm can generate additional sales of Rs.15 lakhs on which bad debt 
losses would be 10 per cent.  The variable cost for the firm is, 80% percent average 
collection period ACP is 40 days and post tax cost of funds is 10 percent and the tax 
rate applicable to the firm is 40 percent. Find out whether the firm should relax credit 
standards or not? 
 
Solution: 
 
   NP = [ S (1V)       S b
n
] (1t)  k  I 
   NP = [15 (1.80)  15.1] (1.4) .10
360
15
40.80 
        = [3 1.5] (.6) .1333 
        =.9 .1333 
        =.76671,00,000 
        =76,667 
 
Since the impact of change in credit standards results in a positive change in net 
profits therefore the proposed change should be accepted. 
 
Credit Period 
 
Credit period refers to the length of time provided to the buyer to pay for their 
purchases. During this period no interest is charged on the outstanding amount. The 
credit period generally varies from 30 to 90 days and in some businesses even a period 
of 180 days is allowed.  If a firm allows 45 days of credit with no discount for early 
payment credit terms are stated as net 45.  In case the firm allows discount for early 
payment the credit terms are stated as 1.5/15, net 45 implying that if the payment is 
made within 15 days a discount of 1.5 percent is allowed else the whole  amount is to 
be paid within 45 days. 
 
Increasing the credit period results in increased sales but at the same time entails 
increased investment in debtors and higher incidence of bad debts.  Decreasing the 
credit period would have the opposite result.  The effect of increasing the credit period 
on net profit can be estimated with the help of equation 2.2. 
 
 
 NP  =  [  S (1V)   Sb
n
] (1 t)  k   I  (2.2)   
 
In this case  I is calculated as follows:  
 
 I = (ACP
n 
 ACP
0
) 
360
S
) ACP ( V
360
50
n
  
+
    (2.2a) 
 
28 
 
Receivables 
Management
  
 where I = increase in investments  
 
         ACP
n
 = new average collection period 
         ACP
0
 = old average collection period 
 
In equation 2.2a the first term represents incremental investments in receivables 
associated with existing sales and the second term represents the investment in 
receivables arising from incremental sales. 
 
Example 2.2:  M/s ABC has an existing sales of Rs.50 lakhs and allows a credit 
period of 30 days to its customers.  The firms cost of capital is 10 percent and the ratio 
of variable cost to sales is 85.  The firm is contemplating on increasing the credit 
period to 60 days which would result in an increased sales of Rs.5 lakhs.  The bad 
debts on increased sales are expected to be 8 percent.  The tax rate for M/s ABC is 40 
percent. Should the firm extend the credit period? 
 
Solution:  I = (ACP 
n
 
ACP
0
) 
360
) ( ]
360
0   S
ACP V
S
n
[
  
+    
360
5
60 85 .
360
50
) 30 60 (     +
 = I  
708333 .
360
50
30   +  = I  
9 . 99 , 874 , 4 500 , 87 , 4 000 , 00 , 1 8749997 . 4   = =  = I  
[   ]
750 , 27
000 , 00 , 1 ) 48750 . 21 (.
48750 . ) 6 ( ) 35 (.
875000 . 4 ) 6 (. ] 4 . 75 [.
500 , 87 , 4 10 . ) 04 1 ( ] 08 . 5 ) 015 ( 5 [
) 1 ( ) 1 (
 =
    =
    =
    =
       =
         =    I k t
n
Sb V S NP
 
The increase in credit period results in a negative net profit therefore the credit period 
should not be extended. 
 
Cash Discount  
 
Cash discount is offered to buyers to induce them to make prompt payment. The credit 
terms specify the percentage discount and the period during which it is available. 
Liberal cash discount policy imply that either the discount percentage is increased or 
the discount period is increase. This leads to enhanced sales, decrease in average 
collection period and increase in cost.  The effect of this on net profit can be estimate 
by the equation 2.3. 
 
) 3 . 2 ( ) 1 ( ] ) 1 ( [   I k t DIS V S NP    +      =   
 
where  I = Savings in receivables investment  
 
 DIS = Increase in discount cost 
 
 I = 
n n
  ACP
S
V ACP ACP
S
360
) (
360
0
0
  
    (2.3a) 
 DIS =  P
0 0 0 n 0 n
d S P d ) S S (     +       (2.3b) 
where Pn    =    Proportion of discount sales after liberalising the discount terms. 
 
29
 
Working Capital 
Management 
  S
0    
=    Sales before liberalising the discount terms 
            S  =  Increase in sales  
 d
n    
=   New discount percentage 
 P
0
  =   Proportion of discount sales before liberalising the   discount terms  
 d
0    
=   Old discount percentage 
 
Example 2.3: M/s ABCs present credit terms are 1/10 net 30 which they are planning 
to change to 2/10 net 30.  The present average collection period is 20 days and the 
variable cost to sales ratio is 85 and the cost of capital is 10 percent.  The proportion 
of sales on which customers currently take discount is .5.  After relaxation of discount 
terms it is expected that the ACP will reduce to 14 days, sales will increase from 
Rs.80 lakhs to Rs 85 lakhs and the proportion of discount sales will increase to .8. Tax 
rate for the firm is 40% calculate the effect of above changes on net profit. 
 
Solution:  I  = 
  n n
  ACP
S
ACP ACP
S
360
) (
360
0
0
  
    
    = 14
360
5
85 . ) 14 20
360
      (
80
 
    = 1.1680555 lakhs 
 DIS  = P
n
 (S
0
+  S) d
n
 P
0
S
0
d
0 
 
    = .96 lakhs 
 NP  = I k ) t 1 ( ] DIS ) v 1 ( S    +       
    =[ 1680555 . 1 1 . ) 4 . 1 ( ] 96 . ) 85 . 1 ( 5    +       
    = . (. 116805555 . ) 6 (. ) 96 75   +   
    =   .126 + .11680555 
    =   .009194 lakhs 
 
Since the increase in net profit is negative the cash discount policy should not be 
liberalised. 
 
Collection Effort 
 
The collection policy of a firm is aimed at timely collection of overdue amount and 
consist of the following. 
 
1)  Monitoring the state of debtors (account receivable) 
2)  Reminders  
3)   Personal letters  
4)  Telephone calls  
5)  Personal visit of salesman  
6)  Restriction of credit 
7)  Use of collection agencies  
8)  Legal action. 
 
An efficient and rigorous collection program tends to decrease sales, shorten average 
collection period, reduce bad debts percentage and increase the collection expenses, 
whereas a lax collection program will have just the opposite effect.  The effect of 
decreasing the collection effort on net profit can be estimated with the equation 2.4. 
 NP  =  [  S (1V)    BD] (1 t)  k I  
where  BD = increase in bad debt cost   
 I = increase in investment in receivables 
 
 
30 
 
Receivables 
Management
0 0 0
0
0
) (
360
) (
360
S b S S b BD
V ACP
S
ACP ACP
S
I
n
n n
  + = 
+  = 
 
 
Example 2.4: M/s ABC is considering relaxing its collection efforts.  At present its 
sales are Rs.40 lakhs, the ACP is 20 days and variable cost to sales ratio is .8 and bad 
debts are  .05 per cent.  Relaxation in collection effort is exected to push sales up by 
Rs. 5 lakhs, increase ACP to 40 days and bad debt ratio to 0.06. ABC tax rate is 40 
percent. Calculate the effect of relaxing credit effort on net profit. 
 
Solution: 
 BD  = b
n
 (S
0
+  S) b0 S0 
    = .06 (40+5) - .05 40 
    = 2.7-2 
    =.7 lakhs 
 
32 . 18 .
) 666667 . 2 ( 12 . ) 6 (. ] 7 . ) 2 (. 5 [
) 1 ( ] ) 1 ( [
6666667 . 2
9
4
9
20
8 . 40
360
5
) 20 40 (
360
40
360
) (
360
0
0
 =
    =
         = 
  = 
+
  +  =
+  = 
I k t BD V S NP
I
V ACP
S
ACP ACP
S
I
  n n
 
= .14 lakhs 
 
Since the effect on net profit is negative therefore the credit efforts should not be 
relaxed. 
Check Your Progress 1 
1)  As a part of the strategy to increase sale and profit, the sales manager of the 
company proposes to sell goods to a group of new customers with 10% risk of 
non-payment. This group would require one and a half months credit and is 
likely to increase sales by Rs. 1,00,000 per annum. Production and selling 
expenses amount to 80% of sales and the income tax rate is 50%. The 
companys minimum required rate of return (after tax) is 25%. Should the  
sales managers proposal be accepted? 
 
2)  Manjit Ltd. is examining the question of relaxing its credit policy. It sells at 
present 20,000 units at a price of Rs. 100 per unit, the variable cost per unit is 
Rs. 88 and average cost per unit at the current sales volume is Rs. 92. All sales 
are on credit, the average collection period being 36 days. 
 
A relaxed credit policy is expected to increase sales by 10% and the  
average age of receivables to 60 days. Assuming 15% return, should the firm  
relax its credit policy? Assume 360 days in a year. 
 
3)  A company wants to adopt a stricter collection policy. While going through 
its books the following details are revealed: 
 
The enterprise is at present selling 20,000 units on credit at a price of  
Rs. 30 each, the variable cost per unit is Rs. 23 while the average cost per unit  
 
31
 
Working Capital 
Management 
is Rs. 27. average collection period is 56 days and the collection expenses  
amount to Rs. 8,000 and bad debts are 3%. 
 
If the policy of collection is tightened a sum of Rs. 15,000 more will  
be required as collection charges. Bad debts down to 1 percent and collection 
period will reduce to 40 days. Sales volume is expected to reduce by 400 units. 
  Advice the company whether it should implement the decision or not. Assume 
20% rate of return on investments. 
 
4)  The present credit terms of Padmavati Ltd. are 1/10 net 30. Its annual sales are 
Rs. 80,00,000, and average collection period is 20 days. Its variable cost and 
average table costs to sales are 0.85 and 0.95 respectively and its cost of capital 
is 10 per cent. The proportion of sales on which customers currently take 
discount is 0.5. The company is considering relaxing its discount terms of 2/10 
net 30. Such relaxation is expected to increase sales by Rs. 5,00,000, reduce the 
average collection period to 14 days and increase the proportion of discount 
sales to 0.8. What will be the effect of relaxing the discount on the companys 
profit? Take year as 360 days.  
 
2.4  CREDIT EVALUATION 
One of the important elements of credit management is the assessment of the credit 
risk of the customer.  While assessing risk two type of errors occur which are as 
follows. 
 
Type 1 error:  Good customers are misclassified as poor credit risk 
Type 2 error:  Bad customers are misclassified as good credit risk. 
 
Both the errors are costly. Type 1 error leads to loss of profit on sales and also loss of 
good customers. Type II errors leads to bad debts and other costs associated with the 
bad debts. These type of errors cant be totally eliminated but a proper credit 
evaluation process can reduce these two types of errors. The credit evaluation process 
involves the following steps. 
 
1)  Credit information 
2)  Credit investigation 
3)  Credit limits 
4)  Collection policy. 
 
Credit Information 
In order to ensure that the receivables are collected in full and on due date from the 
customers, prior information of their credit worthiness should be available. This 
information can be gathered from a variety of sources, which we are going to discuss 
shortly. One important thing which needs to be kept in mind while gathering credit 
information is that collecting credit information involves cost, therefore the cost of 
collecting information should be less than the potential profitability of credit sales. 
Another factor which should be borne in mind is that collecting credit information 
may involve a lengthy period of time, on account of this the credit granting decision 
should not be delayed for long. Depending upon these two factor any or a 
combination of the following process may be employed to collect the information. 
 
  Financial Statements: Profit and loss a/c and Balance sheet of customers firm 
provide valuable insight on the operating financial soundness, sources of funds, 
application of funds, and debtors and creditors. The following ratios calculated 
from financial statements seems particularly helpful in this context: Current ratio, 
 
32 
 
Receivables 
Management
and acid test ratio, debt equity ratio, Earning Before Interest and Taxes (EBIT) to 
total assets ratio and return on equity.  
 
  Bank References: A customers bank account is also a valuable source of 
information regarding the credit worthiness of the customer. A thorough analysis 
of bank transactions would reveal the financial behaviour and characteristics of 
the customer. Bank references can be obtained either directly or by requesting 
the customer to instruct his bank to provide the same. 
 
  Trade references: The seller can ask the prospective customer to give trade 
references. Trade references are usually of those firms with whom the customer 
is having current dealings. 
 
  Other Sources: A firm can also obtain information about the prospective 
customer from credit rating agencies like (CRISIL, ICRA, CARE) and trade and 
industry associations. 
 
Credit Investigation  
 
Once the credit information is gathered the next step is to analyse the gathered 
information and isolate those matters, which may require further investigation. The 
factors that affect the extent and nature of credit investigation are as follows: 
 
  Type of customer, whether new or existing 
  The customers business line, background and the related trade risks 
  The nature of products-perishable or seasonal  
  The size of the customers order and expected further volume of business with 
him/her 
  Companys credit policies and practices 
  Capacity:  Capacity refers to the ability of the buyer to pay the due on time and 
is generally judged by the past turnover and the repayment behaviour 
  Character:  Character refers to the willingness of the buyer to pay. The 
character of the buyer is generally judged by his/ her past record of payments 
and default history if any. 
  Collateral:  Collateral means the security against the credit granted to 
customers. A buyer willing to furnish adequate collateral is judged as more 
creditworthy as compared to buyers who are unable to furnish any collateral. 
  Conditions:  Conditions here refer to the sensitivity of the buyer to general 
economic environment. 
 
Analysis of Credit File: Credit file is a compilation of all the relevant credit 
information of the customer. All the credit information collected during the credit 
information process is annexed to this file. The information of all the previous 
transactions and payments related to it are also recorded in the credit file. Any change 
in customers payment behaviour like extension of time delayed payments enhancing 
credit limits etc. are also recorded in the credit file. In case of new customers the 
credit information collected should be thoroughly analysed and examined and in case 
of existing customer the credit file should be analysed while extending credit for 
larger accounts or for longer periods. 
 
Analysis of Financial Ratios: Ratios are calculated to determine the customers 
liquidity position and ability to repay debts. The ratios so calculated should be 
compared with the industry average and the nearest competitors. 
Analysis of Business and its Management: Besides analysing the fundamental 
strength of the customers business the firm should also take into consideration the 
quality of the management and the nature of the customer business. Some business are 
inherently risky and granting credit to such customers may prove risky. 
 
 
33
 
Working Capital 
Management 
Credit Limit 
A credit limit is the maximum amount of credit, which the firm will extend at a point 
of time. It indicates the extent of risk taken by the firm by supplying goods on credit 
to a customer. Once the firm has decided to extend credit to the customer the amount 
and duration of the credit will have to be decided. The amount of credit to be granted 
will depend on the customers financial strength. 
 
Collection Policy 
Proper management of receivables require an appropriate collection policy which 
outlines the collection procedures. Collection policy refers to the procedure adopted 
by a firm to collect payments due on past accounts. The basic objective of the 
collection policy is to minimise average collection period and bad debt losses. A strict 
collection policy can affect the goodwill and can adversely affect potential future sales 
whereas on the other hand a lenient collection policy can lead to increased average 
collection period and increased bad debt losses. An optimum collection policy should 
aim towards reducing collection expenditure. 
 
2.5  MONITORING RECEIVABLES 
 
A firm needs to continuously monitor and control its receivables to ensure that the 
dues are paid on the due date and no dues remain outstanding for a long period of 
time. The following two methods are used to evaluate the management of receivables. 
 
1.  Average collection period 
2.  Aging schedule.  
 
Average collection period (ACP): Average collection period is defined as 
 
 
 
Sales Credit
365 Debtors
ACP
  
=
 
The average collection period so calculated is compared with the firms stated credit 
period to judge the collection efficiency. For example, if the firms stated collection 
period is 45 days and the actual collection period is 60 days, one may conclude that 
the firms collection efforts are lax. An extended credit period leads to liquidity 
problems and may also result in bad debts. Two major drawbacks of this method are: 
 
(i)  It gives an average picture of collection efforts and is based on aggregate 
data. It fails to pin point the receivables which are overdue.  
(ii)  It is susceptible to sales variation and the period over which sales and 
receivable have been aggregated.  
 
Ageing Schedule: The ageing schedule (AS) classifies outstanding accounts 
receivable at a given point of time into different age brackets. An illustrative ageing 
schedule is given below. 
 
Age Groups (in days)  Outstanding (Rs.)  Percentage 
0-30  45,000  37.50 
31-60  15,000  12.50 
61-90  10,000  12.50 
91-120  30,000  250 
Over 120  1,20,000  100.00 
The actual aging schedule of the firm is compared with some standard ageing 
schedule so as to determine whether accounts receivables are in control. If the greater 
proportion receivable are in the higher age schedule than there is a need for some 
corrective action. 
 
 
34 
 
Receivables 
Management
2.6  FACTORING 
Receivable management is a specialised activity and requires a lot of time and effort 
on the part of the firm. Collection of receivables often poses problems, particularly for 
small and medium size organisations. Banks do finance receivables but this 
accommodation is for a limited period and the seller has to bear the risk in case 
debtors default on payment. 
 
In order to overcome these problems the firms can assign its credit management and 
collection to specialist organisation known as factoring organisations. 
 
Factoring is financial as well as management support to a firm. Through factoring 
non-productive, inactive assets (Book debts or receivables) are assigned to a factor 
which may be a bank or a financial institution or any other organisation which in turn 
collects receivables from the debtors for a commission. The factoring can be defined 
as a business involving a continuing legal relationship between the factor and a 
business concern (the client) selling goods and services to trade customers (the 
customers) whereby the factor purchases the clients accounts receivable and in 
relation thereto, controls the credit extended to customers and administers the sales 
ledger. 
 
Factoring Services: The following basic services are provided by the factor apart 
from the core service of purchasing receivables. 
 
1)  Sales Ledger administration and credit management  
2)  Credit collection and protection against default and bad debt losses 
3)  Financial accommodation against the assigned book debts (receivables). 
 
In addition to these services the following services are also being provided by the 
factor 
1)  Providing information about prospective buyers  
2)  Providing financial counselling 
3)  Assistance in liquidity management and sickness prevention 
4)  Financing acquisition of inventories 
5)  Providing assistance for opening letter of credit for the client.   
 
Types of Factoring 
The factoring facilities can be broadly classified in four groups which are as follows: 
 
1)  Full service non recourse (old line)  
2)  Full service recourse factoring 
3)  Bulk agency factoring 
4)  Non notification factoring. 
 
Full Service Non Recourse: Under this method the book debts are purchased by the 
factor assuming 100 percent credit risk. In case of default by the debtor the whole  risk 
is borne by the factor. In addition to this the factor may also advance 80-90% of the 
books debts immediately to the client. Payments are made directly to the factor by the 
customers. The factor also maintains the sales ledger and accounts and prepares age-
wise reports of outstanding book debts. This type of factoring services are specially 
suited to the following conditions when, 
a)  Amounts involved per customer are relatively substantial 
b)  There are large number of customers of whom the client cant have personal 
knowledge 
 
35
c)  Clients wish to have 100% cover rather than 70 to 80% cover provided by the 
insurance companies. 
 
Working Capital 
Management 
 
Full Service Recourse Factoring: In this type of factoring the client has to bear the 
risk of default made by the debtors. In case the factor had advanced funds against 
book debts on which the customer subsequently defaults the client will have to refund 
the money. This type of factoring is more a method of short-term financing rather than 
pure credit management and protection service. This type of factoring is suitable for 
cases where there is high spread customers with relatively low exposure or where the 
client is selling to high risk customers. 
 
Advance Factoring and Maturity Factoring: In both non-recourse and recourse 
factoring if the factor advances cash against book debts to the client immediately on 
assignment of book debts it is known as advanced factoring. In maturity factoring the 
factor makes payment to the client on maturity of book debts i.e., when they are due. 
In non-recourse maturity factoring the payment is on maturity or when book debts are 
collected or when the customer becomes insolvent. In recourse factoring the factor 
pays the client when book debts have been collected. 
 
Bulk Agency Factoring: This type of factoring is basically used as a method of 
financing book debts. Under this type of factoring the client continues to administer 
credit and maintain sales ledger. The factor finances the book debts against bulk either 
on recourse or without recourse. This sort of factoring became popular with the 
development of consumer durable market where credit management is not a problem, 
but the firms require temporary financial accommodation. 
 
Non-Notification Factoring: In this type of factoring customers are not informed 
about the factoring agreement. The factor performs all the usual functions without 
disclosing to customer that they own the book debts. 
 
Costs and Benefits of Factoring 
 
There are two types of costs involved in factoring: 
1)  the factoring commission or service fee, and 
2)  the interest on advances granted by the factor to the firm. 
 
Factoring commission is paid to cover credit evaluation, collection, maintenance of 
sales ledger, other services and to cover bad debt losses. The factoring commission 
will depend upon the total volume of receivables, the size of individual receivables 
and quality of receivables. The commission for non- recourse factoring is higher than 
recourse factoring as the former factor assumes full credit risk. 
 
In India the cost of factoring varies from 2.5% to 4% where as in developed countries 
it ranges from 1% to 3%. 
 
The interest on advances is usually higher than the prime lending rates of the bank or 
the bank overdraft rate. In the United States of America, factors charge a premium of 
2 to 5% over and above the prime interest rate. 
The high cost of factoring is partly off set by the benefits of factoring some of which 
are as follows: 
 
  factoring provide specialised service in credit management, thereby freeing 
resources in the form of managements time and attention which they can focus 
on core issues of manufacturing and marketing, and 
 
  factoring helps the firm to save cost of credit administration due to the scale of 
economies and specialisation. 
2.7  SUMMARY 
 
36 
 
Receivables 
Management
Trade credit creates debtors or accounts receivables. Trade credit is used as a 
marketing tool to gain competitive advantage over trade rivals. A firms investment in 
accounts receivable would depend upon the volume of credit sales and collection 
period. This investment in receivables can be increased or decreased by altering the 
credit policy variables. The main variables of credit policy are credit period and cash 
discount. The collection efforts of the firm are aimed at reducing bad debt losses and 
accelerating collection from slow players. Factoring involves sale of receivables to 
specialised firms known as factors. Factoring is basically used to improve liquidity 
and for the timely collection of debts. Factors charge interest on advances and 
commission for other services. 
 
2.8  SELF-ASSESMENT QUESTIONS/EXERCISES 
 
1)   Describe the majors terms of payment in practice. 
 
2)  What are the importance dimensions of a firms credit period. 
 
3)  Discuss the consequences of lengthening versus shortening of the credit period. 
 
4)  Discuss the effects of liberal versus stiff credit standards. 
 
5)  What are the effects of liberalising the cash discount policy? 
 
6)  Develop a simple system of risk classification and explain its rationale. 
 
7)  Once the creditworthiness of a customer has been assessed, how would you go 
abut analysing the credit granting decision? 
 
8)  What benefits and costs are associated with the extension of credit? How should 
they be combined to obtain an appropriate credit policy? 
 
9)  What is the role of credit terms and credit standards in the credit policy of a firm? 
 
10) What are the objectives of the collection policy? How should it be established? 
 
11) What will be the effect of the following changes on the level of the firms 
receivables? 
a.  Interest rate increases 
b.  Recession 
c.  Production and selling costs increase 
d.  The firm changes its credit terms from 2/10, net 30 to 3/10, net 30. 
 
13) The credit policy of a company is criticised because the bad-debt losses have 
increased considerably and the collection period has also increased. Discuss under 
what conditions this criticism may not be justified. 
 
14) What credit and collection procedures should be adopted in case of individual 
accounts? Discuss.  
 
Problems 
1)  The present sales of M/s Ram Enterprises is Rs.50 million. The firm classifies 
customers into 3 credit categories: A, B and C. The firm extends unlimited 
credit to customers in category A, limited credit to customers in category B, and 
no credit to customer in category C. As a result of this credit policy, the firm is 
 
37
 
Working Capital 
Management 
foregoing sales to the extent of Rs. 5 million to customers in category B and    
Rs 10 million to customer in category C. The firm is considering the adoption of 
a more liberal credit policy to customers in category C who would be provided 
limited credit. Such relaxation would increase the sales by Rs. 10 million on 
which bad debt losses would be 8 per cent. The contribution margin ratio for the 
firm is 15 per cent, the average collection period is 60 days, and the cost of 
capital is 12 per cent. The tax rate for the firm is 40 per cent. What will be the 
effect of relaxing the credit policy on the net profit of the firm? 
 
2)   The Aravali Corporation currently provides 45 days of credits to its customer. 
Its present level of sales is Rs. 15 millions. The firms cost of capital is 15 per 
cent and the ratio of variable costs to sales is 0.80. The firm is considering 
extending its credit period to 60 days. Such an extension is likely to push sales 
up by Rs. 1.5 million. The bad debt proportion on additional sales would be      
5 per cent. The tax rate is 45 per cent. What will be the effect of lengthening the 
credit period on the firm? 
 
3)   The present credit terms of Lakshmi Company are 1/10, net 30. It sales are      
Rs. 12 million, its average collection period is 24 days, its variable cost to sales 
ratio is 0.80 and its cost of funds is 15 per cent. The proportion of sales on 
which customer currently take discount is 0.3. Bhartya Company is considering 
replacing its discount terms to 2/10, net 30. Such relaxation is expected to 
increase the proportion of discount sales to 0.7. What will be the effect of 
relaxing the discount policy on net profit? The tax rate of the firm is 50 per cent. 
 
4)   Shyam Venture is considering relaxing its collection efforts. Presently their 
sales are Rs. 50 million, its average collection period 25 days. The relaxation in 
collection efforts is expected to push sales up by Rs.6 million, increase the 
average collection period to 40 days and raise the bad debts ratio to 0.06. The 
tax rate of the firm is 30 per cent. 
 
5)   Ram Enterprises sell on terms 2/10 net 45. Total sales for the year is 40 million. 
Thirty per cent of the customers pay on the tenth day and avail the discount, the 
remaining seventy per cent pay, on average collection period and the average 
investment in receivables. 
 
6)  Anil & Company sells on terms 1/5 net 15. The total sales for the year are Rs. 
10 million. The cost goods sold is Rs. 7.5 million. Customers accounting for 30 
per cent of sales take discount and pay on the fifth day, while others take an 
average of 35 days to pay. 
 
Calculate: 
 
(a)  the average collection period and  
(b)  the average investment in receivables. 
 
7)  Udar Limited is considering a change in its credit terms from 2/10, net 30 to 
3/10 net 45. This change is expected to: 
 
a)  increase total sales from Rs. 50 million to Rs. 60 million 
b)  decrease the proportion of customer taking discount from 0.70 to 0.60 
c)  increase the average collection period from 20 days to 24 days. 
 
The gross profit margin for the firm is 15 per cent and the cost of capital is 12 
per cent. The tax rate is 40 per cent. 
 
Calculate: 
   
a)  the expected change in profit and 
b)  the expected cost of increasing the cash discount. 
 
38 
 
 
39
Receivables 
Management
8)   The financial manager of a firm is wondering whether credit should be granted 
to a new customer who is expected to make a repeat purchase. On the basis of 
credit evaluation the financial manager feels that the probability is the customer 
will pay 0.85 and the probability that S/he will pay for the repeat purchase 
thereby increases to 0.95. The revenues from the sale will be Rs.10,000 and the 
cost of sale would be Rs.8,500. These figures apply to both the initial and the 
repeat purchase should credit be granted? 
 
9)   A firm is wondering whether to sell goods to a customer on credit or not. The 
revenue from sales will be Rs. 10,000 and the cost of sale will be Rs 8,000. 
What should be the minimum probability that the customer will pay, in order to 
sell profitably? 
 
2.9  SOLUTIONS/ANSWERS 
 
Check Your Progress 1 
1)  Net Benefit Rs. 2,500; Proposal should be accepted. Profit on Additional Sales 
Rs. 5,000; Additional Investment in Receivables Rs. 10,000 and cost is          
Rs.2,500. 
 
2)  Net Profit Rs. 1200. Credit policy should be relaxed. Profit on Additional Sales 
Rs. 24,000; Additional Investment in Receivables Rs. 1,52,000 and cost @ 15% 
Rs. 22,800; Current Investment in Receivables Rs. 1,84,000; Proposed 
Investment in Receivables Rs. 3,36,000. 
 
3)  Net Benefit Rs. 17,124. Collection policy should be tightened. Reduction in bad 
debt losses Rs. 12,120; and cost of Average Investment in Receivables           
Rs.5,004; Loss of Profit on reduced sales Rs. 2,800 and increase in collection 
charge Rs. 15,000. Average Investment in Present Plan Rs. 84,000 and in 
proposed plan Rs. 58,978. 
 
4)  Net Loss of Rs. 9,986. Present discount policy should not be relaxed. Profit on 
additional sales Rs. 75,000; Cost savings on average investment in receivables 
Rs. 11,014; Present Investment Rs. 4,22,222, proposed Rs. 3,12,083. Increase in 
discount Rs. 96,000. 
  
 
 
 
 
 
Working Capital 
Management 
UNIT 3   INVENTORY MANAGEMENT 
Structure                Page Nos. 
3.0   Introduction                                       40 
3.1  Objectives                 40 
3.2  Reasons for Holding Inventory                 40 
3.3  Objectives of Inventory Management                 41 
3.4  Techniques of Inventory Control                 42 
  3.4.1  Traditional Techniques   
  3.4.2  Modern Techniques 
3.5  Summary                 52 
3.6  Self-Assessment Questions/Exercises                 53 
3.7  Solutions/Answers                 53 
 
3.0  INTRODUCTION 
Most firms build and maintain inventories in the course of doing business.  
Manufacturing firms hold raw material, work in process, finished goods and spares in 
inventories.  Financial services firms hold inventories in the form of portfolio of 
marketable securities consisting of debt, equity and hybrid instruments. Retails firms 
(Shops, shopping malls, super markets etc.) hold inventories to meet demand for 
products from customers. 
 
In case of manufacturing firms inventories represents largest asset category, next only 
to plant and machinery.  The proportion of inventory to total assets ranges between 
15 to 30 percent. 
 
Inventory management is not an isolated activity; it requires coordination among the 
production, purchasing and marketing departments.  Decisions regarding of the 
purchase raw material are taken by the purchasing and production department, 
whereas work in process inventory is influenced by the production department.  
Finished goods inventory levels are decided by both the production and marketing 
departments.  Since all these decision end up in tying of resources the financial 
manager has the responsibility to ensure that the inventories are properly monitored 
and controlled. 
 
3.1  OBJECTIVES 
After going through this unit, you will be able to: 
  highlight the need for and nature of inventory; 
  explain the techniques of inventory management; 
  highlight the need for analysing inventory problems, and  
  understand the process for managing inventory. 
 
3.2  REASONS FOR HOLDING INVENTORY 
The dictionary defines the word inventory as stock of goods. But, inventory means 
such type of assets that will be disposed of in future in the ordinary course of 
business. Bolten S.E. has defined it as, inventory refers to the stock-pile of the 
product a firm is offering for sale and the components that make up the product. In 
other words,  inventory is used to represent the aggregate of those items of tangible 
assets which are (i) held for sale in ordinary course of the business; (ii) in process of 
production for such sale; or (iii) to be currently consumed in the production of goods 
or services to be available for sale. 
 
40 
 
Inventory Management
Inventories are held basically to smoothen the operations of the firm.  Shortage of 
inventory at any point would disrupt operations resulting in either idle time for men 
and machine or lost sales. A manufacturing firm may have inventories of different 
stages in the production process. 
1)  Inventory of raw material are held to ensure that the production process is not 
  disrupted due to shortage of raw material.  The amount of raw material 
  inventory would depend upon the speed at which the raw material can be 
  procured; the greater the speed, lower would be the level of raw material 
  inventory. Higher the uncertainty in the supply of raw material, higher would 
be   the level of raw material inventory. 
 
2)  Work in process (WIP) inventories arise in the process of production.  These 
  type of inventories are also referred to as Process Inventories.  In case of 
  simple products the WIP inventories would be less, whereas in case of complex 
  products requiring various sub-processes and sub-assemblies the work in 
  process inventory would be high. 
 
3)  Finished goods inventories are held to meet customers requirement  
  promptly.  The quantum of finished goods inventory would depend upon: 
  time required to fill an order from the customer.  If the products is of 
such nature that any unexpected demand can be met at short notice the 
level of inventories would be lower, and 
 
  diversity of the product line: Firms selling a wide range of products  
         generally need to invest more in finished goods. 
 
4)  Inventories are also held, so that the order cost is reduced. 
 
5)  Spares: An inventory of spare items which are required for the smooth running 
of business is also kept. 
 
6)  Transaction/Precautionary and Speculative Motives: Inventories which are held 
for conducting normal day to day business are known as transaction inventory. 
Precautionary inventories are those inventories which are held to ensure that in 
case of shortage or adverse price movement, the production process will not be 
stopped due to the lack of inventory. 
 
3.3  OBJECTIVES OF INVENTORY 
  MANAGEMENT 
The twin objectives of inventory management are operational and financial. The 
operational objective means that the materials and spares would be available in 
sufficient quantity on time so that work is not disrupted for want of inventory. The 
financial objective means that investment in inventories should not remain idle and 
minimum amount of capital should be locked in inventories. The objectives of 
inventory management are summarised as follows: 
Operating Objectives 
1)  to ensure continuous supply of materials 
2)  to ensure uninterrupted production 
3)  to minimise risks and losses 
4)  to ensure better customer service 
5)  to avoiding stock out danger. 
Financial Objectives 
1)  to minimise investment 
2)  to minimise inventory related costs and 
3)  to ensure economy in purchasing 
 
41
 
Working Capital 
Management 
 
Factors Affecting Level of Inventory 
As stated in the previous sections the firm should maintain its inventory at reasonable 
level. The quantum of inventory depends upon several factors, some of the important 
factors are mentioned below: 
 
  Nature of Business 
  Inventory Turnover 
  Nature and Type of Product 
  Market Structure 
  Economies of Production  
  Inventory Costs   
  Financial Position 
    Period of Operating Cycle
  Attitude of Management  
 
3.4  TECHNIQUES OF INVENTORY CONTROL 
Inventory control signifies a planned approach of ascertaining when to buy, how 
much to buy and how much to stock so that costs involving buying and storing are 
optimally minimum, without interrupting production or affecting sales. There are 
various techniques used to control inventory. These techniques are divided into two 
categories Traditional Techniques and Modern Techniques  
3.4.1  Traditional Techniques 
Inventory Control Ratios 
For purposes of monitoring the effectiveness of inventory management it is helpful to 
ok at the following ratios and indexes:  lo
 
Overall Inventory Turnover Ratio              =
cost at s inventorie total Average
sold goods of Cost
 
 
Raw Material Inventory Turnover Ratio     = 
inventory material raw Average
material raw of n consumptio Annual
 
 
Work-in-process Inventory Turnover Ratio =
cost at inventory process in work age
e manufactur of Cost
 
Aver
Finished Goods Inventory Turnover ratio    =
    
cost at goods finished of inve Average
Average Age of Raw Materials in Inventory
ntory
sold goods of Cost
 
 =
        
Materials Raw of Purchase Daily
cost at Inventory Material Raw Average
Average
   
 
Average Age of Finished Goods Inventory =    
day per ed manufactur goods of cost Average
Cost at inventory goods finished Average
 
 
42 
 
Inventory Management
Out-of-stock Iindex =
ned requisitio times of Number
stock of out times of Number
 
 
Spare Parts Index =
Eeuipment Capital of Value
Inventory Parts Spare of Value
 
Two Bin System 
Under this system all inventory items are stored in two separate bins (two bins for 
each type of inventory items). In the first bin a sufficient supply of inventory is stored 
which is going to be used over a designated period of time. In the second bin a safety 
stock is maintained which is going to be used during lead times. As soon as material 
in the first bin is consumed an order for further stock is placed and in the meantime 
inventory from the second bin is used. On receipt of new order, second bin is restored 
and the balance is put in the first bin. In this system depletion of inventory in the first 
bin automatically generates a signal to re-order that particular inventory. 
Perpetual Inventory System  
In this type of system store balances are computed and recorded after each and every 
issue and receipt. The main focus of this system is to make available details about the 
quantity and value of stock at all points of time. If the balance of any item of 
inventory falls below a particular pre-determined level the order is placed for a 
further quantity of inventory. In this system physical verification is done after every 
issue and receipt as a result of which this system is costly, but at the same time 
materials statement, monitoring and follow up action can be smoothly carried out. 
Periodic Inventory System 
Under this system all stock levels are reviewed after a fixed time interval, depending 
upon the importance of the item. Imported items may require a shorter review cycle, 
whereas slow moving items may require a longer review cycle. In practice the review 
of stock items takes place at the end of the accounting period. At the time of review, 
orders are placed for further stocking up to a pre-determined level. Under this system 
the order point is not actually determined but the time of review itself is an indication 
to place further orders. 
)  Check Your Progress 1 
1)  A Publishing house purchases 2,000 units of a particular item per year at a unit 
cost of Rs. 20. The ordering cost per order is Rs. 50 and carrying cost is Rs. 25. 
Find the optimal order quantity and minimum total cost including purchase 
cost. 
 
  If a 3% discount is offered by the supplier for purchases in lots of 1,000 or 
  more, should the publishing house accept the proposal?   
2)  Keshar Limited uses annually 24,000 kgs. of a chemical which costs Rs. 1.25 
  per kg. Placing each order costs Rs. 22.50 and the carrying cost is 15% per year 
  of the inventory cost. Find Economic Order Quantity, number or orders to be 
  placed per year and the total inventory cost (including cost of material). 
  (a)  If procurement time is 12 days and safety stock (minimum stock) 500 
kgs.     Find the maximum inventory, re-order point and average inventory. 
  (b)  What will be your decision if the company can get a concession of 5% on 
    purchase price if it orders 3000 kgs. or more? (Assume 300 days in a  
    year). 
 
3)  Calculate the minimum stock level, maximum stock level and reordering level 
  from the following information. 
  (a)  Minimum consumption  = 100 units per day 
  (b)  Maximum consumption  = 150 units per day 
 
43
 
Working Capital 
Management 
  (c)  Normal consumption  = 120 units per day 
  (d)  Re-order period    = 10  15 days 
  (e)  Re-order quantity    = 1,500 units 
  (f)  Normal Re-order period  = 12 days. 
 
4)  Two components A and B are consumed as follows: 
 
    Normal usage  100 units per week each 
    Minimum usage  50 units per week each 
    Maximum usage  150 units per week each 
    Re-order quantity  A - 400 units; B - 600 units 
    Re-order period  A 6 to 8 weeks; B 3 to 5 weeks. 
  Calculate the following for each component: 
 
  (i)   Re-order Level 
(ii)   Minimum Level 
(iii)   Maximum Level 
(iv)   Average Stock Level 
 
3.4.2  Modern Techniques 
 
Economic Order Quantity (EOQ) 
Graphical Methods: 
The economic order quantity can also be determined with the help of a graph. Under 
this method ordering cost, carrying cost and total inventory costs according to 
different lot sizes are plotted on the graph. The point at which the line of inventory 
carrying cost and the ordering cost intersect each other is the economic order 
quantity. At this point the total inventory cost is also minimum. The function of EOQ 
is illustrated below in Figure. 3.1. 
 
 
 
   
 
 
 
 
 
 
 
 
     
In Figure. 3.1 costs like carrying, ordering and total cost are plotted on the vertical 
axis (y) and order size is shown on the horizontal axis (x). From Figure. 3.1 one can 
easily see that there is an inverse relationship between inventory carrying cost and 
ordering cost i.e., inventory carrying cost increases and ordering cost decreases as the 
order size increases. In the first instance the total cost line decreases as the order size 
increases, but it starts increasing when decrease in ordering cost is more than off set 
by the increase in carrying cost. 
 
2800 
400 
800 
1600 
2400 
1200 
2000 
Total Inventory Cost 
100  200 
300  400  500  600  700  800 
0 
Carrying Cost 
Ordering Cost 
E.O.Q
Order Size (Units) 
Figure 3.1: Function of E.O.Q
C
o
s
t
 
(
R
u
p
e
e
s
)
 
 
44 
 
Inventory Management
Assumption of the EOQ Model 
The basic EOQ model is based on the following assumption: 
1)  The forecast usage/demand for a given period, usually one year, is known 
2)  The usage/demand is even throughout that period 
3)  Inventory orders can be replenished immediately (There is no delay in placing 
  and receiving orders). 
 
There are two distinguishable costs associated with inventories: costs of ordering and 
costs of carrying. 
 
Figure 3.1 shows a graph illustrating the behaviour of the carrying cost, the ordering 
cost, and the sum of these two costs.  The carrying cost varies directly with the order 
size (since the average level of inventory is one-half of the order size), whereas the 
ordering cost varies inversely with the order size. 
 
EOQ Formula 
For determining the EOQ formula we shall use the following symbols: 
U  = annual usage/demand 
Q  = quantity ordered 
F  = cost per order 
C  = per cent carrying cost 
P   = price per unit 
TC  = total costs of ordering and carrying 
 
Given the above assumptions and symbols, the total costs of ordering and carrying 
inventories are equal to  
C P
2
Q
F
Q
U
TC     +  =  
In the equation, the first term on the right-hand side is the ordering cost, obtained as 
the product of the number of orders (U/Q) and the cost per order (F) and the second 
term on the right-hand side is the carrying cost, obtained as the product of the average 
value of inventory holding (QP/2) and the percentage carrying cost C. 
 
The total cost of ordering and carrying is minimised when: 
 
PC
FU 2
Q=  
which can be obtained by putting the first derivative of TC with respect to Q and 
equating it with zero. 
 
0
2
PC
Q
UF
dQ
dTC
2
  = +  =  
 2UF +Q
2
 PC =0 
Q
2
 PC +2UF 
Q
2
 =
PC
UF 2
 
Q =
PC
UF 2
 
assuming that the second derivative condition is satisfied. 
 
45
 
Working Capital 
Management 
The formula embodied in the equation is the EOQ formula.  It is a useful tool for 
inventory management.  It tells us what should be the order size for the purchase of  
items and what should be the size of production run for manufactured items. 
 
The EOQ model may be illustrated with the help of the following data relating to the 
Ace Company. 
 
U  =  annual sales =20,000 units 
F   =  fixed cost per order =Rs. 2,000 
P   =  purchase price per unit =Rs. 12 
C  =  carrying cost=25 per cent of inventory value. 
 
Plugging in these values in eq. (3.2) we get. 
 
Q = 164 . 5
25 . 0 12
000 , 20 000 , 2 2
=
  
 
Quality Discount and Order Quantity 
The standard EOQ analysis is based on the assumption that the price per unit remains 
constant irrespective of the size of the order.  When quantity discounts are available, 
which is often the case, the price per unit is influenced by the order quantity.  This 
violates the applicability of the EOQ formula.  However, the EOQ framework can 
still be used as a starting point for analysing the problem.  To determine the optimal 
order size when quantity discounts are available the following procedure may be 
used: 
1)  Determine the order quantity using the standard EOQ formula assuming no 
quantity discount, Call it Q*. 
2)  If Q* enables the firm to get quantity discount then it represents the optimal 
  order size. 
3)  If Q* is less than the minimum order size required for quantity discount (call it 
Q) compute the change in profit as a result of increasing the order quantity 
from Q* to Q as follow: 
 
 
   + =  
2
PC * Q
2
C ) D P ( ' Q
F
' Q
U
* Q
U
UD  
 
  where      = change in profit.   
  U     =   annual usages/demand 
    D     =   discount per unit when quantity discount is available 
    Q*   =   economic order quantity assuming no quantity discount 
    Q    =   minimum order size required for quantity discount 
    F     =   fixed cost of placing an order 
    P     =   unit purchase price without discount 
    C     =   inventory carrying cost expressed as a percentage. 
 
On the right-hand side of the equation, the first term represents savings in price, the 
second term represents savings in ordering cost, and the third term represents the 
increase in carrying cost. 
4)  If the change in profit is positive, Q represents the optimal order quantity.  If 
the change in profit is negative, Q* represents the optimal order quantity. 
To illustrate the above procedure, consider the following data pertaining to Quantum 
Ltd. 
 
U  =  annual usage=10,000 units 
F   =  foxed cost per order =Rs. 150 
P   = purchase price per unit =Rs. 20 
C  = carrying cost=25 percent of inventory value 
 
46 
 
Inventory Management
Q = minimum order size required for quantity discount=1,000 units 
D  = discount per unit =Re.1. 
 
The EOQ assuming no quantity discount is  
 
Q* = units 75
25 . 0 20
000 , 10 150 2
PC
FU 2
=
 
=  
 
Since Q* is less than Q (1,000), the change in profit as a result of increasing the 
order quantity from Q* to Q is 
 
UD +
(   )
  
2
*
2
'
' *
PC Q C D P Q
F
Q
U
Q
U
 
 
=10,000  1 + 150
000 , 1
000 , 10
775
000 , 10
( )
2
25 . 0 20 775
2
25 . 0 1 20 000 , 1
 
=10,000 +435  (2,375  1,938) 
=Rs. 9,998. 
 
Since the change in profit is positive, Q=1,000 represents the optimal order quantity.  
It should be noted that the above procedure is based on the principle of marginal 
analysis.  This involves comparing incremental benefits with incremental costs in 
moving from one level of inventory to another.  This principle may be used to 
compare a proposed order quantity with the present order quantity and more 
generally for comparing any set of alternatives. 
 
Levels 
Mini-Max System 
Under this method the maximum and minimum level for each item of inventory are 
fixed. These levels serve as a basis for initiating action so that the quantity of each 
item is controlled. These levels are not permanent and likely to change with the level 
of activity. The maximum level indicates the maximum quantity of an item of 
inventory which can be held at a point of time. The maximum level of inventory 
would depend upon the following factor: 
  availability of storage space 
  lead time (time required in receiving the goods ordered) 
  availability of working capital 
  average rate of consumption of material 
  cost of storage and insurance 
  risk of obsolescence and deterioration 
  quantity discounts 
 
Minimum level indicates the quantitative balance of an item of inventory, which must 
be maintained in hand at all times. It is a level below which the inventories should not 
fall. This level of inventory is held to avoid stock out and consequent stoppage of 
production. The minimum level would depend upon: 
 
  rate of consumption of material 
  the maximum and minimum time required to acquire fresh supplies 
  the re-order level. 
 
Re-order Period (ROP) 
 
47
 
Working Capital 
Management 
 
The standard EOQ model assumes that materials can be procured instantaneously and 
hence implies that the firm may place an order for replenishment when the inventory 
level drops to zero. In the real world, however, procurement of materials takes time 
and hence the order level
 
must be such that the inventory at the time of ordering 
suffices and meet the needs of production during the procurement period which is 
also known as Lead Time. 
 
If the usage rate of materials and the lead time for procurement are known with 
certainly then the ordering level would simply be: 
 
Lead-time in days for procurement X Average daily usage 
 
When the usage rate and lead time are likely to vary: the reorder level should be 
higher than the normal consumption period requirement during the procurement 
period in order to provide a measure of safety in the face of variability of usages and 
lead time.  Put differently, the reorder level should be equal to: 
Normal consumption + Safety stock 
 
Safety Stock 
What should be the level of safety stock? In a simple situation where only the usage 
rate is variable and the maximum usage rate can be specified, the safety stock 
required to seek total protection against stock out is:  
 
(Maximum usage rate  Average usage rate)  Lead time 
 
When both the lead time and usage rate vary, which  is often the case and the range of 
variation is wide, complete protection against stockout may require an excessively 
large safety stock.  For example, if the lead time various between 60 days and 180 
days with an average value of 90 days and the usage rate varies between 75 units and 
125 units per day with an average value of 100 units per day, a safety stock of 13,500 
units is required for complete protection against stockout.  This has been worked out 
as follows: 
Maximum possible usage  -   Normal or Average usage 
Maximum daily usage    -  Average or Normal daily usage   
X Maximum lead time       Average lead time 
125   180      -  100  90  =13,500 
 
Since inventory-carrying costs are proportional to the level of inventories carried, it 
rarely makes sense to seek total protection against stockout.  In view of the trade-off 
between stockout cost and inventory carrying cost, the optimal level of safety stock is  
usually much less than the level of safety stock required to achieve total protection 
against stockout.   
A manufacturing company will require 50,000 units of a product during the next year. 
The cost of processing an order is Rs.20 and the carrying cost per units is 50 paise  
per year.  Lead-time of an order is 5 days and the company will keep a safety stock of 
two days usage.  
 
You are required to calculate  (i) Economic Order Quantity; (ii) Re-order Point; (iii) 
Minimum Inventory; (iv) Maximum inventory and (v) average Inventory. (Assume 
250 days in a year.) 
 
S
  
olution 
(i)  Economic Order Quantity 
    EOQ =
C
RO 2
 
      Where; R   = Annual Requirements or Usage 
 
48 
 
Inventory Management
                   O   =    Ordering cost per order  
        C   =     Carrying cost per unit per year 
               EOQ =
5 . 0 . Re
20 Rs. 000 , 50 2    
 
    = 000 , 00 , 40 =2,000 Units 
 
(ii)  Re-order Point 
    R.O.P.  = (L UR) +S 
    Where; L  = Lead Time;  
      U  =Usage Rate (50,000  250) =200 (units per day); 
      S  = Safety Stock 
     R.O.P.  = (5  200) +(2  200) 
       = 1,000 +400 =1,400 Units 
 
(iii)  Minimum Inventory 
Minimum Inventory is the Safety Stock kept by the company, which are 
400 units.  If there is no safety stock, minimum inventory will be zero.  
 
(iv)  Maximum Inventory 
Maximum Inventory  = EOQ +Safety Stock 
         = 2,000 +400 
         = 2,400 units. 
(v)  Average Inventory 
       
2
Inventory Minimum Inventory Maximum   +
 
        Units 1,400
2
400 2,400
=
+
 
Order Point Formula 
The analysis discussed above tends to be somewhat cumbersome when probability 
distributions are most complex and dependent and multi-period cases are involved.  
In view of this many firms would find the following formula helpful for calculating 
the reorder point. 
 
Recorder Point =S (L) + (L) SR  
 
Where  S =Usage 
  L =lead time needed to obtain additional inventory when the order is placed 
  R =average quantity ordered 
  F =stockout acceptance factor. 
 
The value of F, the stockout acceptance factor, depends on the stockout percentage 
rate. 
Selective Inventory Control (Classification) 
ABC Analysis: 
ABC analysis [Always Better Control] is an application of the principle of 
Management by Exception to the field of inventory control. If we look at the 
inventory mix of a firm, it would constitute of hundreds of items. Most of these items 
would be inexpensive and the frequency of their use would be less. The remaining 
items would be expensive, more frequently used and account for large proportion of 
firms investment in inventories. 
 
It would be an expensive and cumbersome act to adopt a common policy and 
determination of economic order quantity and reorder point for management of all 
these items of inventory. In this technique all the items of inventory are classified in 
three categories viz., A, B and C based on the usage rate, rupee value and criticality 
of the item. 
 
49
 
Working Capital 
Management 
  A category items are those inventory items which have maximum usage rate and 
constitute 70% to 80% of inventory value, but only 5% to 10% of the inventory 
volume. These type of inventories requires frequent monitoring and strict control. 
  B category items are those inventory items which have moderate value and usage 
rate and constitute 20% to 25% of inventory value, but only 20% to 30% of the 
inventory volume. These types of inventories require less monitoring and control. 
  C category items are of low or negligible value and usage rate. The remaining 
items of inventory representing 5% to 10% of inventory value, but 60% to 70% 
of the total quantity of inventory fall in this category and require general control. 
 
 
 
Process of ABC Analysis 
 
  Classification:   On the basis of expected use, the items of inventory are 
classified according to their categories and per unit Price of each item is 
determined. 
  Ascertainment of Total Cost:   The total cost is calculated by multiplying the 
expected units to be used by the per unit cost. 
  Rank Determination:   Cost-wise rank is determine for each item of inventory. 
First rank is assigned to the item with the highest total cost. 
  Computation of Ratio or Percentage: Two ratios/percentages are calculated    
(i) Percentage of number of units of each item to total units of all items.  (ii) Total 
cost of each item to the total cost of all items. 
  Determination of ABC Category: ABC categories are formed by combining the 
items on the basis of their relative values. 
 
 
Example 2.1: Dinesh Limited is considering selective control for its inventories. 
Using the following datas, prepare the ABC plan. 
 
Items      A         B       C     D     E     F    G 
 
Unit      8,000     15,000    5,000    7,5000   5,000   7,000    2,500 
 
Unit Cost (Rs.)  5.50     1.70  30.40  1.50  0.65  5.14    51.20 
 
Solution:       
 ABC Analysis 
Inventory  Total Value  Item  Per Unit 
Cost (Rs.) 
Units  % of 
Total 
Cumul-
ative % 
Total 
Cost Rs. 
% of 
Total 
Cumul-
ative % 
 
 
Cate-
gory 
 
50 
 
Inventory Management
C 
 
G 
 
A 
 
F 
 
B 
 
D 
 
E 
30.40 
 
51.20 
 
5.50 
 
5.14 
 
1.70 
 
1.50 
 
0.65 
5,000 
 
2,500 
 
8,000 
 
7,000 
 
15,000 
 
7,500 
 
5,000 
10 
      15% 
 5 
 
16 
      30% 
14 
 
30 
 
15  55% 
 
10 
 
15% 
 
 
45% 
 
 
 
 
100% 
 
 
1,52,000 
 
 1,28,000 
 
    44,000 
 
   36,000 
 
   25,000 
 
   11,250 
 
     3,250 
38 
      70% 
32 
 
11 
      20% 
 9 
 
6.38 
         
        10% 
2.80 
 
0.82 
 
70% 
 
 
90% 
 
 
 
 
100% 
 
 
 
 
A 
 
 
 
 
B 
 
 
 
C 
 
 
 
 
Total    50,000  100%    4,00,000  100%   
 
 
VED Analysis: 
VED (Vital, Essential, Desirable) analysis is a technique used for spare part inventory 
analysis and is widely used in the automobile industry specially for the maintenance 
of the spare parts inventory. According to this technique, inventory items are 
classified as follows: 
  Vital (V) items constitute such items of inventory, which are vital for continuous 
operations. Shortage or absence of these items will bring the production activity 
to a halt. These items of inventory are critical for continuous production and 
therefore require close monitoring. 
  Essential (E) items are those items of inventory, which are essential for 
continuous production. The difference between vital and essential items is that 
the shortage of essential items can be tolerated for a few hours viz., it will not 
bring the production process to a halt. The level of these type of inventory is 
moderately low. 
  Desirable (D) items do not have any immediate impact on the production 
process, hence inventory of these items may or may not be maintained. 
 
In VED analysis the focus is not on the value of the inventory, but the focus is on 
their likely impact on production. 
 
SED Analysis 
SDE (Scarce, Difficult and Easy) analysis evaluates the importance of inventory 
items on the basis of their availability. As per SDE analysis the inventory items are 
grouped into the following categories: 
  Scarce (S) items are those items which are in short supply. Most of the time these 
items are important and essential for continuous production. 
  Difficult (D) items are those items which can not be produced easily. 
 
  Easy (E) items are those items which are readily available in the market. 
In SDE analysis the main focus is on the availability of the inventory. This type of 
analysis is resorted to when the markets are regulated and input and output is 
controlled by the government. 
FSN Analysis: 
Under this method inventory items are classified according to the usage/consumption 
pattern. They are classified as follows: 
 
51
 
Working Capital 
Management 
  Fast Moving (F) items are stored in large quantities as their usage rate is high. 
Special attention is given to the inventory level of these types of items. 
  Slow Moving (S) items are not frequently required by the production department, 
hence moderate quantities with moderate supervision are maintained. 
  Non Moving (N) items are rarely required by the production department, hence 
small number of items are kept in stores and less supervision is required for these 
kind of inventory items. 
In this method the focus is on the frequency of usage of a particular item. 
)  Check Your Progress 2 
1)  A Precision Engineering Factory consumes 50,000 units of a component per 
  year. The ordering, receiving and handling costs are Rs.3 per order while the 
  trucking costs are Rs.12 per order. Further details are as follows: 
    Interest cost Rs. 0.06 per unit per year. 
    Deterioration and obsolescence cost Rs. 0.004 per unit per year. 
    Storage cost Rs. 1,000 per year for 50,000 units. 
    Calculate the economic order quantity. 
   
2)  A company requires 1,250 units per month of a particular item. Ordering costs 
  is Rs.50 per order. The carrying cost is 15% per year, while unit cost of the   
  item is Rs. 10. 
   
Determine economic lot size and minimum total variable cost. 
   
3)  The following relations to inventory cost have been established for ABC Ltd. 
   
  (a)  Orders must be placed in multiples of 100 units. 
  (b)  Requirement for the year are 3,00,000 units. 
  (c)  The purchase price per unit is Rs. 3. 
  (d)  Carrying cost is 25% of the purchase price of goods. 
  (e)  Cost per order placed is Rs. 20. 
(f)  Desired safety stock is 10,000 units, this amount is on hand initially. 
(g)  Three days are required for delivery. 
  Calculate the following: 
   
  (i)  E.O.Q. 
(ii)  How many orders should the company place each year. 
(iii)  At what inventory level should an order be placed? 
 
3.5  SUMMARY 
Inventories constitute a significant portion of the current assets ranging form 40 to 
60% for manufacturing companies. The manufacturing companies hold investments 
in the form of raw material, work in process and finished goods. The three main 
motives for holding inventories are transaction, precautionary and speculative. The 
various factors which need to be considered while formulating inventory policy are: 
 
(a)  Costs 
(b)  Returns 
(c)  Risk Factors. 
There are two type of costs associated with inventory maintenance which are: 
(a)  Ordering Costs 
(b)  Carrying Costs. 
 
52 
 
Inventory Management
 
The Economic Order Quantity (EOQ) is that order quantity which minimises the sum 
of ordering and carrying cost. The inventory level at which the firm places order for 
further inventory is known as reorder point and it depends on: 
 
(a) lead time 
(b) the usage rate. 
There are many inventory control systems, the most widely used one is ABC and 
FSN System.  
 
3.6  SELF-ASSESSMENT 
QUESTIONS/EXERCISES 
1)  Distinguish between process or movement inventories and organisation  
inventories. 
2)  What purpose is served by inventories? 
3)  What costs are incurred in the context of inventory managements? 
4)  What assumptions underlie the basic EOQ model? 
5)  What is the formula for EOQ? Device it. 
6)  How would you go about determining the optimal order size when quantity 
discount is available? Illustrate your approach with a suitable example. 
7)  What modification is required in the basic EOQ analysis to cope with the 
problem of inflation? 
 
3.7  SOLUTIONS/ANSWERS  
Check Your Progress 1 
 
1)  EOQ 4.226 units 
 
2)  EOQ 1,000 units; Minimum Total Variable Cost Rs. 1,500 
 
3)  (i)  4,000 units 
(ii)  75 
(iii)  12,500 
Assume 360 days in a year.   
 
Check Your Progress 2 
 
1)  EOQ  200 units; Total Cost Rs. 41,000; Net increase in total cost Rs. 325, 
  (Not to accept the offer.) 
2)  EOQ  2,400 kg; No. of orders 10; Total Purchase cost Rs. 30,450. 
  (a)  Maximum Inventory 2,900 kg; ROP 1,460 kg; Average Inventory 
    1,700 kg.    
  (b)  Discount should be availed; Saving Rs. 1,503. 
 
3)  ROL 2,250 units; Minimum Level  810 units; Maximum Level  2,750 
  units. 
 
4)  (i)  A 1,200; B 750 
(ii)  A  500; B  350 
(iii)  A  1,300; B  1200 
 
53
 
Working Capital 
Management 
(iv)  A  900; B  775. 
   
 
 
 
54