3.

LEVERAGES

Distinguish between operating leverage and financial leverage

Sr Operating leverage Financial leverage

No
1 Objective The objective is to magnify The objective is to magnify
EBIT due to changes in sales EBT/EPS due to changes in EBIT
2 Relationship It is establishes relationship It establishes relationship between
between operating profit EBIT operating profits & EPS/EBT/Return
and sales on equity.
3 Measurement It measures firms ability to use It measures firms ability to use fixed
fixed cost assets to magnify the cost funds to magnify the return to
operating profits. equity shareholder.
4 Relationship It relates to the assets side of It relates to the liabilities side of
with balance the balance sheet balance sheet
sheet
5 Effect on It affects the profits before It affects profit after interest i.e
income interest and tax EBT/EPS
6 Risk It involves operating risk of It involves financial risk being
being unable to cover fixed unable to cover fixed financial cost
operating cost i.e i.e interest
rent/depreciation.
7 Decision It is concern with investment It is concern with financing decision
decisions
8 Stages It is first stage of leverages It is second stage of leverages
Q.1) Compute all leverages from the following Information:

Rs.

Interest 10,000

Sales (1,000 units) 1,00,000

Variable cost 50,000

Fixed Cost 30,000

Q.2) Anna ltd. Has the following capital structure:

Rs.

Equity share capital 5,00,000

10% Pref. share capital 5,00,000

8% Debentures 5,50,000

The present EBIT is Rs. 2,50,000. Tax rate is 50%.

Calculate financial leverage.

Q.3) The following information is available in respect of two firms, P and Q:

P Ltd. Q. Ltd.

Rs. Rs.

Sales 500 1,000

Less: Variable Cost 200 300

Contribution 300 700

Fixed Cost 150 400

EBIT 150 300

Less: Interest 50 100

Profit before Tax 100 200

You are required to calculate different leverages for both the firms and also comment on their
relative risk position.

Q.4) (i) Find out the Operating Leverage from the following data:
Sales Rs. 50,000
 Variable Cost 60%
Fixed Cost Rs. 12,000

(ii) Find out the financial leverage from the following data:
Net Worth Rs. 25,00,000
Debt / Equity 3:1
Interest rate 12%
Operating Profit Rs. 20,00,000

Q.5)From the following information available for 4 firms, calculate the Earnings Before
Interest and Tax (EBIT), Earning per Share (EPS), The Operating Leverage and the Financial
Leverage:
FIRMS:

P Q R S

Sales (in units) 20,000 25,000 30,000 40,000

Selling Price P.U. (Rs.) 15 20 25 30

Variable Cost P.U. (Rs.) 10 15 20 25

Fixed Costs (Rs.) 30,000 40,000 50,000 60,000

Interest (Rs.) 15,000 25,000 35,000 40,000

Tax % 40 40 40 40

Number of Equity Shares 5,000 9,000 10,000 12,000

Q.6) Calculate the Operating Leverage, Financial Leverage & Combined Leverage from the
following data under the Situations I and II and Financial Plans A and B:
Installed Capacity 4,000 units
Actual Production & Sales 75% of the Capacity
Selling Price Rs. 30 per unit
Variable Cost Rs. 15 per unit
Fixed Cost:
Under Situation I Rs. 15,000
Under Situation II Rs. 20,000

Capital Structure:
Financial Plan A B

Rs. Rs.

Equity 10,000 15,000

Debt (Rate of Interest at 20%) 10,000 5,000

 20,000 20,000

Q.7) Calculate the Operating Leverage and Financial Leverage under Situations A, B & C and
Financial Plans I, II & III respectively from the following information relating to the operating
and Capital Structure of Raja Ltd. Also find out the combination of operating and Financial
Leverages, which give the highest value and the least value, how these calculations useful to
finance manager:
Installed Capacity (no. of Units) 1200

Actual Production & Sales (no. of units) 800

Selling Price Per unit (Rs.) 15

Variable Cost Per unit (Rs.) 10

Fixed Cost:

Situation A (Rs.) 1,000

Situation B (Rs.) 2,000

Situation C (Rs.) 3,000

Financial plans I II III

Equity (Rs.) 5,000 7,500 2,500

12% Debt (Rs.) 5,000 2,500 7,500

Q.8) The Balance Sheet of Alpha Numeric Company is given below:

Liabilities Rs. Assets Rs.

Equity Capital (Rs.10 Per 90,000 Net Fixed Assets 2,25,000

share)
Current Assets 75,000
10% Long term Debt
1,20,000
Retained earnings
30,000
Current Liabilities
60,000

3,00,000 3,00,000

The Companies Total Assets Turnover Ratio is 3, its Fixed Operating Cost is Rs. 1,50,000 and
its Variable Operating Cost Ratio is 50% The Income tax rate is 50%.

You are required to calculate different types of Leverages for the Company.
 Q.9) ATKT industries manufactures one product with Selling price is Rs. 20 per unit and the
Variable cost is Rs. 10 p.u. The Plant has a Installed capacity of 2,000 units, but the utilization
is only 50%. Fixed Cost Rs. 5,000.
Its Capital need is Rs. 20,000. It considers following debt equity ratio:
a. Debt 25% - Equity – 75%
b. Debt 50% - Equity – 50%
c. Debt 75% - Equity – 25%

The Cost of Debt is 10%. Face Value of Rs. 10. Tax rate 50%.
You are required to calculate all leverages (viz. Financial, Operating & Combined Leverages)
and suggest capital structure.
Q.10) Compute the operating, financial and combined leverage on basis of the following
information: (April,
2012)
Sales 1,00,000 units @ Rs. 2p.u.
Variable Cost Rs. 0.70 p.u.
Fixed Cost Rs. 1,00,000
Interest Charge Rs. 3,668
Q.11) The selected data for A,B and C Companies for the year ended 31st March 2003 were as
follows:
A B C

Variable Cost as a Percentage of Sales 66 2/3 75 50

Interest Expenses (Rs.) 200 300 1,000

Degree of operating leverage 5 6 2

Degree of Financial Leverage 3 4 2

Income Tax Rate % 40 40 40

Prepare an Income Statement for each of the three companies.

Q.12) Prepare statement of profit & Loss.
Particulars A B C

Variable cost as % of sales 75 60 50

Fixed Cost 2,000 4,000 3,000

Degree of Operating Leverage 3 2 3

Degree of Financial Leverage 2.5 3 2

Q.13) From the following particulars prepare Income statement of A& B. (Nov. 2011)
A B

Degree of Combined Leverage 6 times 15 times

Degree of Operating Leverage 3 times 5 times

Variable Cost as a % of Sales 40% 50%

Rate of Income tax 35% 35%

Number of Equity share 1,00,000 1,00,000

Earnings per share Rs. 1.30 Rs. 0.65

Q.14) The following details for company A & B are given. You are required to compute the
sales and then comment on the profitability of both the companies:
A B

Operating Leverage 4 4.5

Combined Leverage 8 11.25

9% Debentures 1,00,000 1,20,000

PV Ratio 20% 25%

Tax rate 50% 50%

Q.15) A firm has sales of Rs. 150 Lakhs, Variable cost Ts. 84 Lakhs and Fixed Cost of Rs. 12
Lakhs. It has a debt of Rs. 90 Lakhs @ 9% and Equity of Rs. 110 Lakhs.
a) What is the firms ROI?
b) Does it have a favorable financial leverage?
c) If the firm belongs to an industry, whose assets turnover is 2, does it have a high or low asset
leverage?
d) What are the operating, financial & Combined leverage of the firm?
e) If the Sales drop to Rs. 125 Lakhs, what will be the New EBIT?
f) At what level the EBT of the firm will be equal to zero?