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Concept of Cost of Capital
It is the required rate of return on the various types
of financing.
Cost of capital may be defined as the minimum
rate of return an investor would be willing to
accept for investing funds in a particular
project.
11-3
An Overview of the Cost of Capital
 The cost of capital acts as a link between the
firm’s long-term investment decisions and the
wealth of the owners as determined by investors
in the marketplace.
 It is the “magic number” that is used to decide
whether a proposed investment will increase or
decrease the firm’s stock price.
 Formally, the cost of capital is the rate of return
that a firm must earn on the projects in which it
invests to maintain the market value of its stock.
9/28/2019
Common Stock
 Common stock is a security that represents
ownership in a corporation. Holders of common
stock exercise control by electing a board of
directors and voting on corporate policy.
Common stockholders are on the bottom of the
priority ladder for ownership structure; in the
event of liquidation, common shareholders have
rights to a company's assets only after
bondholders, preferred shareholders and other
debt holders are paid in full.
9/28/2019 4
Preferred Stock
 A preferred stock is a class of ownership in a corporation
that has a higher claim on its assets and earnings than
common stock. Preferred shares generally have a
dividend that must be paid out before dividends to
common shareholders, and the shares usually do not
carry voting rights.
 Preferred stock combines features of debt, in that it pays
fixed dividends, and equity, in that it has the potential to
appreciate in price. The details of each preferred stock
depend on the issue.
9/28/2019 5
Bond
 A bond is a debt investment in which an investor loans
money to an entity (typically corporate or governmental)
which borrows the funds for a defined period of time at a
variable or fixed interest rate. Bonds are used by
companies, municipalities, states and sovereign
governments to raise money and finance a variety of
projects and activities. Owners of bonds are debt holders,
or creditors, of the issuer.
9/28/2019 6
Debenture
A debenture is a type of debt instrument
that is not secured by physical assets or
collateral. Debentures are backed only by
the general creditworthiness and
reputation of the issuer. Both corporations
and governments frequently issue this
type of bond to secure capital. Like other
types of bonds, debentures are
documented in an indenture.
9/28/2019 7
Retained Earning
 Retained earnings refer to the percentage of net
earnings not paid out as dividends, but retained
by the company to be reinvested in its core
business, or to pay debt. It is recorded under
shareholders' equity on the balance sheet. The
formula calculates retained earnings by adding
net income to, or subtracting any net losses
from, beginning retained earnings, and
subtracting any dividends paid to shareholders.
9/28/2019 8
Factors Influencing Cost of Capital
Determination
 The factors influencing the determination of cost
of capital are discussed as follows :
 (i) Business Risk
 (ii) Financial Risk
 (iii) Source of Finance
 (iv) Tax
 (v) Relative Return
 (vi) Capital Structure Composition
 (vii) Dividend Policy
9/28/2019 9
Components of Cost of Capital
Cost of Debt
Cost of Preferred Stock
Cost of Retained Earnings
Cost of New Common Stock
9/28/2019 10
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Components of Cost of Capital
Cost of Debt: It is the required rate of return on
investment of the lenders of a company i.e.
predetermined interest rate.
Cost of Debt Components:
Cost of Debt
Net
Proceeds
Before Tax
Cost of Debt
After Tax
Cost of Debt
Cost of Debt Components
Net Proceeds:
9/28/2019 12
Duchess Corporation, a major hardware manufacturer,
is contemplating selling $10 million worth of 20-year,
9% coupon bonds with a par value of $1,000. Because
current market interest rates are greater than 9%, the
firm must sell the bonds at $980. Flotation costs are
2% or $20. The net proceeds to the firm for each bond
is therefore $960 ($980 - $20).
Cost of Debt

9/28/2019 13
Example

9/28/2019 14
11-15
Before-Tax Cost of Debt
Calculating the Cost
Specific Sources of Capital:
The Cost of Long-Term Debt (cont.)
9/28/2019
11-16
 Before-Tax Cost of Debt
Calculating the Cost
Specific Sources of Capital:
The Cost of Long-Term Debt (cont.)
9/28/2019
11-17
Before-Tax Cost of Debt
Approximating the Cost
Specific Sources of Capital:
The Cost of Long-Term Debt (cont.)
Where,
I=Annual Interest in $
Nd =Net Proceeds from the sale of
Debt(Bond)
n= number of years9/28/2019
Cost of Debt
Debt capital cost = kd = Before tax cost of
debt = Rate of interest.
 Kdt = After tax cost = kd (1 – T)
 Where T = Tax rate.
9/28/2019 18
Components of Cost of Capital
Cost of Preferred Stock: It is the required rate of
return on investment of the preferred
shareholders of the company i.e. predetermined
dividend (subject to the sufficient net income) &
transaction cost (if any).
9/28/2019 19
Cost of Preferred Stock

9/28/2019 20
Cost of Preferred Stock
A company want to raise capital through
15% unredeemable preference share with
the current price of per preferred stock Tk.
100 and 5% floatation cost. You are
required to calculate the cost of preferred
stock if,
i) sale with 10% discounted price
ii) sale with 10% decreased price
iii) sale with equal price.
9/28/2019 21
Cost of Preferred Stock

9/28/2019 22
Example
A company’s 14% preferred stock of Tk.
1000 par value, currently sold for Tk. 960
per stock. The stock is redeemable after 10
years. Floatation cost is Tk.10 per stock.
What is the cost of preferred stock?
9/28/2019 23
Cost of New Common Stock
The cost of external equity; based on the cost of
retained earnings but increased for flotation
costs i.e. common shareholders expected
dividend plus transaction cost.
9/28/2019 24
Cost of New Common Stock
Methods for calculating Cost of CS:
1. Capital Asset Pricing Model
2. Dividend Model
3. Dividend Growth Model or Gordon
Model.
9/28/2019 25
Cost of New Common Stock
CAPM: Describes the relationship between the
required return, and the nondiversifiable risk of
the firm as measured by the beta coefficient.
 Where,
 rE= Required Rate of Return
 rF =Risk Free Rate of Return
 b=Beta Coefficient
9/28/2019 26
rE = rF + b(rM - rF).
Cost of New Common Stock

9/28/2019 27
Cost of New Common Stock

9/28/2019 28
Components of Cost of Capital
Cost of Retained Earnings: The rate of return required
by the stockholders on firm’s existing common stock
i.e. opportunity cost of common stock.
Kr=Ke(1-Tp) [Tp=Personal Tax]
 For example, assume a firm has just paid a dividend of
$2.50 per share, expects dividends to grow at 10%
indefinitely, and is currently selling for $50.00 per share.
 First, D1 = $2.50(1+.10) = $2.75, and
 rS = ($2.75/$50.00) + .10 = 15.5%.
9/28/2019 29
9/28/2019 30
WACC
A weighted average of the component costs of debt,
preferred stock, and common stock ( retained
earnings & new common stock).
 The weights in the above equation are intended to
represent a specific financing mix (where wi = % of debt,
wp = % of preferred, and ws= % of common).
 Specifically, these weights are the target percentages of
debt and equity that will minimize the firm’s overall cost
of raising funds.
WACC = ra = wiri + wprp + wsrr or n
9/28/2019 31
MCC
The cost of financing for the next unit of
capital raised.
 The Weighted Marginal Cost of Capital (WMCC)
The WACC typically increases as the volume of new
capital raised within a given period increases.
This is true because companies need to raise the
return to investors in order to entice them to invest to
compensate them for the increased risk introduced by
larger volumes of capital raised.
In addition, the cost will eventually increase when the
firm runs out of cheaper retained equity and is forced
to raise new, more expensive equity capital.
Problem
 Suppose you are a Financial Analyst of Apex Ltd. and you will have
to evaluate the weighted average cost of capital (WACC) using Book
Value of your company for the year ended 2015-2016. A company
has the following capital structure:
9/28/2019 32
Particulars Figures are in Core Tk
Common Stock Capital 40
11% Preferred Stock 10
13% Debentures 20
Total 90
 Additional information:
 The current market price of the share is Tk. 408 per share. Last
year’s dividend is Tk. 10 per share which is expected to growth at
10% per year and flotation cost of common stock is 5% of current
market price.
 The face value of preferred stock is Tk. 100 per share of which
current market price is Tk. 120 and flotation cost is Tk. 8 per share.
Maturity period is 5 years.
 The par value of the debentures is Tk. 100 which is sold for Tk. 90
and flotation cost is 5% of face value. Maturity period is 10 years.
The corporate tax rate is 40%.
9/28/2019 33

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Cost of capital

  • 2. 9/28/2019 2 Concept of Cost of Capital It is the required rate of return on the various types of financing. Cost of capital may be defined as the minimum rate of return an investor would be willing to accept for investing funds in a particular project.
  • 3. 11-3 An Overview of the Cost of Capital  The cost of capital acts as a link between the firm’s long-term investment decisions and the wealth of the owners as determined by investors in the marketplace.  It is the “magic number” that is used to decide whether a proposed investment will increase or decrease the firm’s stock price.  Formally, the cost of capital is the rate of return that a firm must earn on the projects in which it invests to maintain the market value of its stock. 9/28/2019
  • 4. Common Stock  Common stock is a security that represents ownership in a corporation. Holders of common stock exercise control by electing a board of directors and voting on corporate policy. Common stockholders are on the bottom of the priority ladder for ownership structure; in the event of liquidation, common shareholders have rights to a company's assets only after bondholders, preferred shareholders and other debt holders are paid in full. 9/28/2019 4
  • 5. Preferred Stock  A preferred stock is a class of ownership in a corporation that has a higher claim on its assets and earnings than common stock. Preferred shares generally have a dividend that must be paid out before dividends to common shareholders, and the shares usually do not carry voting rights.  Preferred stock combines features of debt, in that it pays fixed dividends, and equity, in that it has the potential to appreciate in price. The details of each preferred stock depend on the issue. 9/28/2019 5
  • 6. Bond  A bond is a debt investment in which an investor loans money to an entity (typically corporate or governmental) which borrows the funds for a defined period of time at a variable or fixed interest rate. Bonds are used by companies, municipalities, states and sovereign governments to raise money and finance a variety of projects and activities. Owners of bonds are debt holders, or creditors, of the issuer. 9/28/2019 6
  • 7. Debenture A debenture is a type of debt instrument that is not secured by physical assets or collateral. Debentures are backed only by the general creditworthiness and reputation of the issuer. Both corporations and governments frequently issue this type of bond to secure capital. Like other types of bonds, debentures are documented in an indenture. 9/28/2019 7
  • 8. Retained Earning  Retained earnings refer to the percentage of net earnings not paid out as dividends, but retained by the company to be reinvested in its core business, or to pay debt. It is recorded under shareholders' equity on the balance sheet. The formula calculates retained earnings by adding net income to, or subtracting any net losses from, beginning retained earnings, and subtracting any dividends paid to shareholders. 9/28/2019 8
  • 9. Factors Influencing Cost of Capital Determination  The factors influencing the determination of cost of capital are discussed as follows :  (i) Business Risk  (ii) Financial Risk  (iii) Source of Finance  (iv) Tax  (v) Relative Return  (vi) Capital Structure Composition  (vii) Dividend Policy 9/28/2019 9
  • 10. Components of Cost of Capital Cost of Debt Cost of Preferred Stock Cost of Retained Earnings Cost of New Common Stock 9/28/2019 10
  • 11. 9/28/2019 11 Components of Cost of Capital Cost of Debt: It is the required rate of return on investment of the lenders of a company i.e. predetermined interest rate. Cost of Debt Components: Cost of Debt Net Proceeds Before Tax Cost of Debt After Tax Cost of Debt
  • 12. Cost of Debt Components Net Proceeds: 9/28/2019 12 Duchess Corporation, a major hardware manufacturer, is contemplating selling $10 million worth of 20-year, 9% coupon bonds with a par value of $1,000. Because current market interest rates are greater than 9%, the firm must sell the bonds at $980. Flotation costs are 2% or $20. The net proceeds to the firm for each bond is therefore $960 ($980 - $20).
  • 15. 11-15 Before-Tax Cost of Debt Calculating the Cost Specific Sources of Capital: The Cost of Long-Term Debt (cont.) 9/28/2019
  • 16. 11-16  Before-Tax Cost of Debt Calculating the Cost Specific Sources of Capital: The Cost of Long-Term Debt (cont.) 9/28/2019
  • 17. 11-17 Before-Tax Cost of Debt Approximating the Cost Specific Sources of Capital: The Cost of Long-Term Debt (cont.) Where, I=Annual Interest in $ Nd =Net Proceeds from the sale of Debt(Bond) n= number of years9/28/2019
  • 18. Cost of Debt Debt capital cost = kd = Before tax cost of debt = Rate of interest.  Kdt = After tax cost = kd (1 – T)  Where T = Tax rate. 9/28/2019 18
  • 19. Components of Cost of Capital Cost of Preferred Stock: It is the required rate of return on investment of the preferred shareholders of the company i.e. predetermined dividend (subject to the sufficient net income) & transaction cost (if any). 9/28/2019 19
  • 20. Cost of Preferred Stock  9/28/2019 20
  • 21. Cost of Preferred Stock A company want to raise capital through 15% unredeemable preference share with the current price of per preferred stock Tk. 100 and 5% floatation cost. You are required to calculate the cost of preferred stock if, i) sale with 10% discounted price ii) sale with 10% decreased price iii) sale with equal price. 9/28/2019 21
  • 22. Cost of Preferred Stock  9/28/2019 22
  • 23. Example A company’s 14% preferred stock of Tk. 1000 par value, currently sold for Tk. 960 per stock. The stock is redeemable after 10 years. Floatation cost is Tk.10 per stock. What is the cost of preferred stock? 9/28/2019 23
  • 24. Cost of New Common Stock The cost of external equity; based on the cost of retained earnings but increased for flotation costs i.e. common shareholders expected dividend plus transaction cost. 9/28/2019 24
  • 25. Cost of New Common Stock Methods for calculating Cost of CS: 1. Capital Asset Pricing Model 2. Dividend Model 3. Dividend Growth Model or Gordon Model. 9/28/2019 25
  • 26. Cost of New Common Stock CAPM: Describes the relationship between the required return, and the nondiversifiable risk of the firm as measured by the beta coefficient.  Where,  rE= Required Rate of Return  rF =Risk Free Rate of Return  b=Beta Coefficient 9/28/2019 26 rE = rF + b(rM - rF).
  • 27. Cost of New Common Stock  9/28/2019 27
  • 28. Cost of New Common Stock  9/28/2019 28
  • 29. Components of Cost of Capital Cost of Retained Earnings: The rate of return required by the stockholders on firm’s existing common stock i.e. opportunity cost of common stock. Kr=Ke(1-Tp) [Tp=Personal Tax]  For example, assume a firm has just paid a dividend of $2.50 per share, expects dividends to grow at 10% indefinitely, and is currently selling for $50.00 per share.  First, D1 = $2.50(1+.10) = $2.75, and  rS = ($2.75/$50.00) + .10 = 15.5%. 9/28/2019 29
  • 30. 9/28/2019 30 WACC A weighted average of the component costs of debt, preferred stock, and common stock ( retained earnings & new common stock).  The weights in the above equation are intended to represent a specific financing mix (where wi = % of debt, wp = % of preferred, and ws= % of common).  Specifically, these weights are the target percentages of debt and equity that will minimize the firm’s overall cost of raising funds. WACC = ra = wiri + wprp + wsrr or n
  • 31. 9/28/2019 31 MCC The cost of financing for the next unit of capital raised.  The Weighted Marginal Cost of Capital (WMCC) The WACC typically increases as the volume of new capital raised within a given period increases. This is true because companies need to raise the return to investors in order to entice them to invest to compensate them for the increased risk introduced by larger volumes of capital raised. In addition, the cost will eventually increase when the firm runs out of cheaper retained equity and is forced to raise new, more expensive equity capital.
  • 32. Problem  Suppose you are a Financial Analyst of Apex Ltd. and you will have to evaluate the weighted average cost of capital (WACC) using Book Value of your company for the year ended 2015-2016. A company has the following capital structure: 9/28/2019 32 Particulars Figures are in Core Tk Common Stock Capital 40 11% Preferred Stock 10 13% Debentures 20 Total 90
  • 33.  Additional information:  The current market price of the share is Tk. 408 per share. Last year’s dividend is Tk. 10 per share which is expected to growth at 10% per year and flotation cost of common stock is 5% of current market price.  The face value of preferred stock is Tk. 100 per share of which current market price is Tk. 120 and flotation cost is Tk. 8 per share. Maturity period is 5 years.  The par value of the debentures is Tk. 100 which is sold for Tk. 90 and flotation cost is 5% of face value. Maturity period is 10 years. The corporate tax rate is 40%. 9/28/2019 33