Unit 5 Cost of Capital
Unit 5 Cost of Capital
5.1 Introduction
In the last unit, we discussed about the valuation of bonds and shares. In
this unit, we will learn about the meaning of cost of capital, cost of different
sources of finance, and weighted average cost of capital. Capital structure
is the mix of long-term sources of funds like debentures, loans, preference
shares, equity shares, and retained earnings in different ratios.
It is always advisable for companies to plan their capital structure. We have
discussed in the previous units that all the financial decisions taken by not
assessing things in a correct manner may jeopardise the very existence of
the company. Firms may prosper in the short run by not indulging in proper
planning but ultimately may face problems in the future. With unplanned
capital structure, they may also fail to economise the use of their funds and
adapt to the changing conditions.
Objectives:
After studying this unit, you should be able to:
define cost of capital
explain how cost of different source of finance is determined
compute weighted average cost of capital
Equity
share
Required rate of return
Preference
share
Debt
Govt bonds
Risk free
security
Solved Problem – 1
Lakshmi Enterprise wants to have an issue of non-convertible
debentures (NCD) for Rs. 10 crore. Each debenture is of a par value of
Rs. 100 having an interest rate of 15%. Interest is payable annually and
they are redeemable after 8 years at a premium of 5%. The company is
planning to issue the NCD at a discount of 3% to help in quick
subscription. If the corporate tax rate is 50%, what is the cost of
debenture to the company?
Solution:
I(1 T ) ( F P ) / n
Kd
(F P ) / 2
15 (1 0.5 ) (105 97 ) / 8
(105 97 ) / 2
7 .5 1
101
0.084 0 r 8.4%
Solved Problem – 2
Yes Ltd. has taken a loan of Rs. 5000000 from Canara Bank at 9%
interest. What is the cost of term loan if the tax rate is 40%?
Solution:
Kt = I (1—T) = 9(1—0.4) = 5.4%
The cost of term loan is 5.4%
Solved Problem – 3
C2C Ltd. has recently come out with a preference share issue to the tune
of Rs. 100 lakh. Each preference share has a face value of 100 and a
dividend of 12% payable. The shares are redeemable after 10 years at a
premium of Rs. 4 per share. The company hopes to realise Rs. 98 per
share now. Calculate the cost of preference capital.
Solution:
D ( F P ) / n
Kp
(F P ) / 2
12 (104 98 ) / 10 12.6
(104 98 ) / 2 101
Kp = 0.1247 or 12.47%
The cost of preference capital now will be 12.47%
Solved Problem – 4
What is the rate of return for a company if its β is 1.5, risk free rate of
return is 8%, and the market rate or return is 20%?
Solution:
Ke = Rf + β (Rm — Rf)
= 0.08 + 1.5(0.2-0.08)
= 0.08 + 0.18
= 0.26 or 26%
The rate of return is 26%
Solved Problem – 5
Suraj Metals are expected to declare a dividend of Rs. 5 per share and the
growth rate in dividends is expected to grow @ 10% p.a. The price of one
share is currently at Rs. 110 in the market. What is the cost of equity
capital to the company?
Solution:
Ke = (D1/Pe) + g
= (5/110) + 0.10
= 0.1454 or 14.54%
If the entire earning is not distributed and the firm retains a part, then these
retained earnings are available within the firm. Companies are not required
to pay any dividend on retained earnings. It is generally observed that this
source of finance is cost free, but it is not true. If earnings were not retained,
they would have been paid out to the ordinary shareholders as dividend.
This dividend forgone by the equity shareholders is opportunity cost. The
firm is required to earn on retained earnings, at least equal to the rate that
would have been earned by the shareholders, if they were distributed to
them. So the cost of retained earnings may be defined as opportunity cost in
terms of dividends forgone by withholding from the equity shareholders.
This can be expressed as:
From the dividend capitalisation model, the following model can be used for
calculating cost of external equity.
Ke = {D1/P0(1—f)} + g
Where, Ke is the cost of external equity
D1 is the dividend expected at the end of year 1
P0 is the current market price per share
g is the constant growth rate of dividends
f is the floatation costs as a percentage of current market price
The following formula can be used as an approximation:
Ke = Ke/(1—f)
Where Ke is the cost of external equity
Ke is the rate of return required by equity holders
f is the floatation cost
This formula can be used for all other approaches for which there is no
particular method for accounting for the floatation costs.
Solved Problem – 6
Alpha Ltd. requires Rs. 400 crore to expand its activities in the southern
zone of India. The company’s CFO is planning to get Rs. 250 crore
through a fresh issue of equity shares to the general public and for the
balance amount; he proposes to use ½ of the reserves which are
currently to the tune of Rs. 300 crore. The equity investor’s expectations
of returns are 16%. The cost of procuring external equity is 4%. What is
the cost of external equity?
Solution:
We know that Ke= Kr, that is Kr is 16%
Cost of external equity is
Ke = Ke/(1—f)
0.16/(1– 0.04) = 0.1667 or 16.67%
Hence, cost of external equity is 16.67%
Key Point
Dividends cannot be accurately forecasted as they might sometimes
become nil or have a constant growth or sometimes have supernormal
growth periods.
Activity 1:
Make a list of companies which have declared dividends and/or bonus
shares in the last 3 years.
Refer: websites
As per the book value approach, weights assigned would be equal to each
source’s proportion in the overall funds. The book value method is
preferable. The market value approach uses the market values of each
source, and the disadvantage in this method is that these values change
very frequently.
Solved Problem – 7
Table 5.1 depicts the capital structure of Prakash Packers Ltd.
Table 5.1: Capital Structure in Lakhs
The market price per equity share is Rs. 32. The company is expected to
declare a dividend per share of Rs. 2 per share, and there will be a
growth of 10% in the dividends for the next 5 years. The preference
shares are redeemable at a premium of Rs. 5 per share after 8 years and
are currently traded at Rs. 84 in the market. Debenture redemption will
take place after 7 years at a premium of Rs. 5 per debenture and their
current market price Rs. 90 per unit. The corporate tax rate is 40%.
Calculate the WACC.
Solution:
Step I: Determine the cost of each component.
Ke = ( D1/P0) + g
= (2/32) + 0.1
= 0.1625 or 16.25%
Kp = [D + {(F—P)/n}] / {F+P)/2}
= [14 + (105—84)/8] / (105+84)/2
=16.625/94.5
= 0.1759 or 17.59%
Kr = Ke which is 16.25%
Kd = [I(1—T) + {(F–P)/n}] / {F+P)/2}
= [12(1—0.4) + (105—90)/7] / (105+90)/2
= [7.2 + 2.14] / 97.5
= 0.096 or 9.6%
Kt = I(1–T)
= 0.11(1–0.4)
= 0.066 or 6.6%
Step II: Calculate the weights of each source.
We= 200/750 = 0.267
Wp = 100/750 = 0.133
Wr= 100/750 = 0.133
Wd = 300/750 = 0.4
Wt= 50/750 = 0.06
Step III: Multiply the costs of various sources of finance with
corresponding weights, and WACC is calculated by adding all these
components
WACC = We Ke + Wp Kp +Wr Kr + Wd Kd + Wt Kt
= (0.267*0.1625) + (0.133*0.1759) + (0.133*0.1625) + (0.4*0.092) +
(0.06*0.066)
= 0.043 + 0.023 + 0.022 + 0.0384 + 0.004
= 0.1304 or 13.04%
The value of WACC is 13.04%
Solved Problem – 8
Johnson Cool Air Ltd. would like to know the WACC. The following
information is made available to you in this regard.
The after tax cost of capital are:
Cost of debt 9%
Cost of preference shares 15%
Cost of equity funds 18%
The capital structure is as follows:
Debt Rs. 6,00,000
Preference capital Rs. 4,00,000
Equity capital Rs. 10,00,000
Solution:
Table 5.2 depicts the calculated WACC.
Table 5.2: WACC
Fund source Amount Ratio Cost Weighted cost
Debt Rs. 600000 0.3 0.09 0.027
Preference capital Rs. 400000 0.2 0.15 0.030
Equity capital Rs. 1000000 0.5 0.18 0.090
Total Rs. 2000000 1.0 0.147
WACC is 14.7%.
Solved Problem – 9
Manikyam Plastics Ltd. wants to enter into the arena of plastic moulds
next year for which it requires Rs. 20 crore to purchase new equipment.
The CFO has made available the following details based on which you are
required to compute the weighted marginal cost of capital.
The amount required will be raised in equal proportions by way of debt
and equity (new issue and retained earnings put together account for
50%)
The company expects to earn Rs. 4 crore as profits by the end of the
year after which it will retain 50% and payoff rest to the shareholders.
The debt will be raised equally from two sources - loans from IOB
costing 14% and from the IDBI costing 15%.
The current market price per equity share is Rs. 24 and hence the
dividend payout one year will be Rs. 2.40. Tax rate is 50%
Solution:
Ke = (D1/P0)
= (2.40 / 24) = 0.1 or 10%
Cost of equity Ke = cost of retained earnings
Kt = I(1 – T) [14% loan from IOB]
= 0.14(1 – 0.5) = 0.07 or 7%
Kt = I(1 – T) [15% IDBI loan]
= 0.15(1 – 0.5) = 0.075 or 7.5%
Solved Problem – 10
Canara Paints has paid a dividend of 40% on its share of Rs. 10 in the
current year. The dividends are growing at 6% p.a. The cost of equity
capital is 16%. The company’s top Finance Managers of various zones
recently met to take stock of the competitor’s growth and dividend policies
and came out with the following suggestions to maximise the wealth of the
shareholders. As the CFO of the company, you are required to analyse
each suggestion and take a suitable course keeping the shareholder’s
interests in mind.
Alternative 1: Increase the dividend growth rate to 7% and lower
Ke to 15%
5.5 Summary
Let us recapitulate the important concepts discussed in this unit:
Any organisation requires funds to run its business. These funds may be
acquired from short-term or long-term sources. Long-term funds are
raised from two important sources – capital (owner’s funds) and debt.
Each of these two has a cost factor, merits, and demerits.
Having excess debt is not desirable as debt holders attach many
conditions which may not be possible for the companies to adhere to. It
is therefore desirable to have a combination of both debt and equity
which is called the ‘optimum capital structure’. Optimum capital structure
refers to the mix of different sources of long-term funds in the total
capital of the company.
Cost of capital is the minimum required rate of return needed to justify
the use of capital. A company obtains resources from various sources –
issue of debentures, availing term loans from banks and financial
institutions, issue of preference and equity shares, or it may even
withhold a portion or complete profits earned to be utilised for further
activities.
Retained earnings are the only internal source to fund the company’s
future plans. Weighted average cost of capital is the overall cost of all
sources of finance. The debentures carry a fixed rate of interest. Interest
qualifies for tax deduction in determining tax liability. Therefore, the
effective cost of debt is less than the actual interest payment made by
the firm.
The cost of term loan is computed keeping in mind the tax liability. The
cost of preference share is similar to debenture interest. Unlike
debenture interest, dividends do not qualify for tax deductions.
The calculation of cost of equity is slightly different as the returns to
equity are not constant. The cost of retained earnings is the same as the
cost of equity funds.
5.6 Glossary
Cost of debenture: The discount rate which equates the net proceeds from
issue of debentures to the expected cash outflows.
Term loans: Loans taken from banks or financial institutions for a specified
number of years at a predetermined interest rate.
11. Deepak Steel has issued non-convertible debentures for Rs. 5 crore.
Each debenture is of a par value of Rs. 100 carrying a coupon rate of
14%. Interest is payable annually and they are redeemable after
7 years at a premium of 5%. The company issued the NCD at a
discount of 3%. What is the cost of debenture to the company? Tax
rate is 40%.
Solution:
I(1 T ) ( F P ) / n
Kd
(F P ) / 2
14 (1 0.4 ) (105 97 ) / 7 8.4 1.14
= 0.094 or 9.4%
(105 97 ) / 2 101
12. Supersonic industries Ltd. has entered into an agreement with Indian
Overseas Bank for a loan of Rs. 10 crore with an interest rate of 10%.
What is the cost of the loan if the tax rate is 45%?
Solution:
Kt=I(1 – T) = 10(1 – 0.45) = 5.5%
13. Prime group issued preference shares with a maturity premium of 10%
and a coupon rate of 9%. The shares have a face value of
Rs. 100 and are redeemable after 8 years. The company is planning to
issue these shares at a discount of 3% now. Calculate the cost of
preference capital.
Solution:
D ( F P ) / n
Kp
(F P ) / 2
(110 97 ) / 8 9 .1.625
9 10.27%
(110 97 ) / 2 103.5
5.9 Answers
Terminal Questions
1. Hint: Use the equation
WACC = W e Ke + W p Kp +W r Kr + W d Kd + W t Kt
Ans. = 14.57%
2. Hint: Use the equation
WACC = W e Ke + W p Kp +W r Kr + W d Kd + W t Kt
3. Hint: Use the equation
WACC = W e Ke + W p Kp +W r Kr + W d Kd + W t Kt
Ans. = 8.97%
I (1 T ) ( F P) / n
5. Hint: Apply the formula Kd
( F P) / 2
Ans. = 8.09%
The company has recently set up KARE Park in Special Economic Zone
(SEZ). The Park is adjoining the company’s existing manufacturing unit and
is a sector-specific SEZ meant for biotechnology and pharmaceutical
products. The SEZ will allow the company to avail various tax benefits such
as income tax, import duty on capital goods, etc. This has encouraged a lot
of foreign companies to partner with KARE to avail and share these
benefits.
dividend per share expected a year is Rs. 1.50 per share. The dividends
are expected to grow at a rate of 5% per annum.
2. 12% non-convertible debentures consist of 4 lakh debentures which
were issued at par (Rs.100). The issue cost was Rs.28 lakh. The
difference between the redemption price and the net amount realised
after issue will be written off evenly over the life of the debentures; it is
assumed that the amount so written off will be a tax-deductible expense.
The debentures will be redeemed after 10 years at a premium of 3%.
The market value of the debenture capital is Rs. 384 lakh.
3. The market value of the term loan can be considered equal to its book
value.
4. The tax rate of the company is 35%.
Discussion Questions:
1. Is equity capital free of cost? What is your view on that? Draw references
from the above example.
(Hint: Refer to cost of capital)
2 Calculate the cost of different long-term sources of finance employed by
KARE Ltd.
(Hint: Refer to cost of sources of finance)
3. Calculate the WACC using the market values of the long-term sources of
finance as weights.
(Hint: Refer to WACC)
4. Which factors, according to you, affect the WACC?
(Hint: Refer to WACC)
5. What is the use of calculating WACC? Explain and justify your answer.
You may draw inference from the example case above.
(Hint: Refer to WACC)
Source: www.moneycontrol.com
Reference:
Pandey I. M., (2005), Financial Management, Vikas Publishing House
2005, 9th edition
E-Reference:
www.moneycontrol.com retrieved on 12/12/2011