1. CHAPTER Capital Structure, Leverage & Firm’s Value
Business vs. financial risk
Optimal capital structure
Operating leverage
Capital structure theory

2. Capital Structure, Leverage & Firm’s Value
Capital Structure and Leverage

3. What is Leverage A firm can make use of different sources of
financing whose cost are different. These cost
may be classified into those which carry a fixed
rate of return and those on which the return
Vary.
The employment of an asset or source of funds
for which the firm has to pay a fixed cost or
fixed return may be termed as a Leverage.

4. Types of Leverage There are two types of Leverage
Operating Leverage: the leverage associated with investment (asset acquisition) activities is referred to as operating leverage.
Financial Leverage: the leverage associated with financing activities is referred to as financial leverage.

5. What is operating leverage, and how does it affect a firm’s business risk?
Operating leverage is the use of fixed costs rather than variable costs.
If most costs are fixed, hence do not decline when demand falls, then the firm has high operating leverage.

6. Effect of operating leverage
More operating leverage leads to more business risk, for then a small sales decline causes a big profit decline.
What happens if variable costs change?
Sales $
Rev. TC FC
QBE }
Profit

7. Using operating leverage
Low operating leverage
Probability
High operating leverage
EBITL
EBITH
Typical situation: Can use operating leverage to get higher E(EBIT), but risk also increases.

8. What is financial leverage? Financial risk?
Financial leverage is the use of debt and preferred stock.
Financial risk is the additional risk concentrated on common stockholders as a result of financial leverage.

9. Business risk vs. Financial risk
Business risk depends on business factors such as competition, product liability, and operating leverage.
Financial risk depends only on the types of securities issued.
More debt, more financial risk.
Concentrates business risk on stockholders.

10. An example: Illustrating effects of financial leverage
Two firms with the same operating leverage, business risk, and probability distribution of EBIT.
Only differ with respect to their use of debt (capital structure).
Firm U Firm L
No debt $10,000 of 12% debt
$20,000 in assets $20,000 in assets
40% tax rate 40% tax rate

11. Firm U: Un-leveraged Economy Bad Avg. Good Prob. 0.25 0.50 0.25
EBIT $2,000 $3,000 $4,000
Interest
EBT $2,000 $3,000 $4,000
Taxes (40%) , ,600
NI $1,200 $1,800 $2,400

12. Firm L: Leveraged Economy Bad Avg. Good Prob.* 0.25 0.50 0.25
EBIT* $2,000 $3,000 $4,000
Interest 1, , ,200
EBT $ $1,800 $2,800
Taxes (40%) ,120
NI $ $1,080 $1,680
*Same as for Firm U.

13. Ratio comparison between leveraged and un-leveraged firms
FIRM U Bad Avg Good
BEP % % %
ROE % % %
TIE ∞ ∞ ∞
FIRM L Bad Avg Good
ROE % % %
TIE x x x

14. Risk and return for leveraged and un-leveraged firms
Expected Values:
Firm U Firm L
E(BEP) 15.0% 15.0%
E(ROE) 9.0% 10.8%
E(TIE) ∞ x
Risk Measures:
σROE 2.12% 4.24%
CVROE

15. The effect of leverage on profitability and debt coverage
For leverage to raise expected ROE, must have BEP > kd.
Why? If kd > BEP, then the interest expense will be higher than the operating income produced by debt-financed assets, so leverage will depress income.
As debt increases, TIE decreases because EBIT is unaffected by debt, and interest expense increases (Int Exp = kdD).

16. Conclusions
Basic earning power (BEP) is unaffected by financial leverage.
L has higher expected ROE because BEP > kd.
L has much wider ROE (and EPS) swings because of fixed interest charges. Its higher expected return is accompanied by higher risk.

17. Capital Structure, Leverage & Firm’s Value
Capital Structure & Firm’s Value

18. Relationship between capital structure & cost of capital Assumptions
There is no income tax, corporate or personal.
100% dividend payout ratio is assumed
The operating income is not expected to grow or decline over time.
A firm can change its capital structure almost instantaneously without incurring transaction cost.

19. Net Income Approach
According to this approach, the cost of debt rD and the cost of equity rE remain
unchanged when D/E varies. The constancy of rD and rE with respect to D/E means
That ra the average cost of capital decline as D/E increases.
D E
rA = rD [ ]+ rE [ ]
D + E D + E
Where,
rD = Cost of Debt capital
D = Market value of debt
E = Market value of equity

20. Net Income Approach
Problem: there are 2 firms A & B similar in all aspects except in the capital
structure. Financial data for these firms are shown bellow,
Firm A Firm B
O Operating income 10, ,000
I Interest on debts ,000
rE Cost of equity capital 10% 10%
rD Cost of Debt capital 6% 6%
D Market value of debt ,000
E Market value of equity 100, ,000
Required: Calculate the average cost of capital for firm A & B
(a) For Firm A
,000
rA = 6%[ ] + 10% [ ] = 10%
100, ,000
(a) For Firm B
50,
rA = 6%[ ] + 10% [ ] = 8.5%
120, ,000

21. Net Operating Income Approach
According to this approach, the over all capitalization rate and the cost of debt
remain constant for all degree of leverage.
The cost of equity can be expressed as,
rE=rA + (rA – rD) (D/E)
Problem: Firm A Firm B
O Net Operating income 10, ,000
rA Overall Capitalization Rate
V Total Market Value 66, ,667
I Interest on debts ,000
rD Debt capitalization rate
D Market value of debt 10, ,000
E Market value of equity 56, ,667
D/E Financial Leverage
Ans: The Equity Capitalization rates of Firms A & B can be calculated as follows,
Firm A : rE= 15 + (15 – 10) = 15.9%
Firm B : rE= 15 + (15 – 10) = 19.1%

22. Traditional Approach
The main proposition of the traditional approach are,
The cost of debt capital, rD, remain more or less constant up to a certain degree of leverage but rises thereafter at an increasing rate.
The cost of equity capital, rE, remain more or less constant or rises only gradually up to a certain degree of leverage and rises sharply thereafter.
The average cost of capital, rA, as a consequence of the above behavior of rD & rE, (1) decreases up to a certain point (2) remain more or less unchanged for moderate increase in leverage thereafter; and (3) rises beyond a certain point.

23. Modigliani & Miller Position
So far, we have examined three conflicting views on capital structure. Which one is
correct? To answer this question we need a formal theory of capital structure.
Such a theory was first proposed by Franco Modigliani and Merton Miler in their
classic contribution on capital structure which is regarded by many as the most
important paper in modern Finance. Both of them subsequently became Nobel
Laureates in Economics.
Assumptions of Modigliani & Miller Position
Perfect capital Market: Information is freely available and there is no problem of
asymmetric information, transaction are costless, there are no bankruptcy costs,
securities are infinitely divisible.
Rational Investors & Managers: Investors rationally choose a combination of risk
and return that is most advantageous for them. Managers act in the interest of
shareholders.
Homogeneous Expectation: Investors hold identical expectations about future
operating earnings.
Equivalent Risk Classes: Firms can be grouped into “Equivalent Risk Classes” on
the basis of their business risk.
Absence of taxes: There is no Tax.

24. Modigliani & Miller Position
Proposition 1
MM’s First proposition is,
“The value of a firm is equal to its expected operating income divided by the
discount rate appropriate to its risk class. It is independent of its capital structure”.
In symbol: V = D+E = O / r
Where,
V= Market Value of the Firm
D = Market Value of the Debt
E = Market Value of the Equity
O = Expected operating income
r = Discount rate applicable to the risk class to which the firm belongs.
Proposition 2
“The expected return on equity is equal to the expected return on assets, plus a
Premium. The premium is equal to the debt-equity ratio times the differences
between the expected return on assets and the expected return on Debt.”
In symbol: rE = rA +(rA – rD) (D/E)
Where, Expected operating income
Expected return on assets = rA =
Market value of all securities

25. Problem The following information is available for XYZ metals.
Net operating income Tk. 40 Million
Interest on Debts Tk. 10 Million
Cost of Equity 18%
Cost of Debts 12%
Required: use the NI Method & assume there are no tax
What is the average cost of capital of XYZ metals?
What happen to the average cost of capital of XYZ metals, if it employs Tk. 100 million of debt to finance a project which earns an operating income of Tk. 20 Million?
Solution:
The market value of Debt = (Tk. 10 million / 0.12) = Tk million
The market value of Equity = (Tk. 30 million / 0.18) = Tk million
Hence, the average cost of capital for XYZ metals is:
12 x x
= 16%

26. Problem Net operating income Tk. 60 Million
If XYZ metals employs Tk. 100 million of debt to finance a project which earns an
Operating income of Tk. 20 million, the following financial picture emerge,
Net operating income Tk. 60 Million
Interest on Debts Tk. 22 Million
Equity earnings Tk. 38 million
Market value of equity Tk million
Market value of Debt Tk million
Market value of the Firm Tk million
12 x x
= 15.21%

27. Problem
The management of “P&G” subscribes to the NOI approach and believes that its
cost of debt and overall cost of capital will remain 9% and 12% respectively. If the
Debt/Equity ratio is 0.8, what is the cost of equity?
Solution:
As per the NOI approach, the cost of equity is,
rE = rA +(rA – rD) (D/E)
= 12+(12-9)0.8
= 14.4%.

28. Problem
Consider the following information for Optima Limited.
Net operating income Tk. 210 Million
Corporate Tax rate 30%
Market(as well as book) value Tk. 300 million
Capitalization rate applicable to
a debt free firm in the risk class to
Which Optima belongs 16%
Required:
What will be the value of Optima Limited according to Modigliani & Miller
Approach?
Solution:
According to Modigliani & Miller Approach,
(1-tc)
V = 0 + tcB r
= 210 (1-0.3)/0.16+(0.3x300)
= = million.

29. Capital Structure Decision

30. Capital Structure Decision
How can the optimal capital structure in practice?
There does not seem to be any single method or technique that enable a
firm to to ‘hit’ the optima capital structure. As you explore capital structure
Decision, you will realize that it is not amenable to a neat, structured
solution.
A variety of analysis are done in practice to get a handle over the capital
structure decision. One analysis looks at how alternative capital structure
influence the earnings per share. A second analysis assesses the impact of
alternative capital structure on return on equity. A third analysis relies on
certain leverage ratios. A fourth analysis determines the level of debt that
can be serviced by the expected cash flows of the firm. A fifth analysis
relies on what comparable firms are doing.
Admittedly, each of these analysis is incomplete and provides a partial
answer to the question” what capital structure maximize the value of the
firm?”
In practice, Firms commonly use one or more of these kinds of analysis along with
qualitative guidelines to address the capital structure issue.

31. EBIT-EPS Analysis
In our search for optimal capital structure, we need,inter alia, to
understand how sensitive is earning per share (EPS) to changes in earning
before interest & tax (EBIT) under different financing alternatives.
Basic Relationship
(EBIT – i) (1 – t)
EPS = n
Where,
i = interest
t = tax rate
n = number of equity share
When Preference dividend (Dp) is payable, the relationship becomes,
(EBIT – i) (1 – t) - Dp

32. EBIT-EPS Analysis Problem:
Existing Capital Structure : 1 million equity shares of Tk. 10 each.
Tax rate : 50%.
Falcon Limited plans to raise additional capital of Tk. 10 million for
financing an expansion projects. In this context,it is evaluating two
alternatives two alternative financial plans: (1) issue of Equity shares ( 1
million Equity Tk. 10 each.) and (2) issue of debentures carrying
14% interest.
Required: What will be the EPS under the two alternative financial plans for
two levels of EBIT, say Tk. 4 million & 2 million?

33. Equity Financing Debt Financing EBIT-EPS Analysis
EBIT EBIT
Debt Financing
Interest
1,400,000
Profit Before Taxes
2,000,000
Taxes
300000
Profit after Taxes
No. of Equity Shares
EPS
0.50
1.00
0.30
1.30

34. ROI-ROE Analysis
We may look at the relationship between the Return on Investment (ROI)
& Return on Equity (ROE) for different level of financial leverage.
The influence of ROI & Financial Leverage on ROE is mathematically as
follows,
ROI = (EBIT/Total Assets)
ROE = [ROI+(ROI-r)D/E](1-t)
Where,
r = Cost of Debt
D/E = Debt-Equity Ratio
t = Tax rate

35. ROI-ROE Analysis Problem
Korex Limited, requires an investment outlay of Tk. 100 million, is
Considering two capital structures:
Capital Structure “A” Capital Structure “B”
Equity 100 Million Million
Debt Million Million
Average cost of capital is fixed at 12%, the ROI(EBIT/Total Assets) may
vary widely. The Tax rate is 50%.

36. ROI-ROE Analysis Capital Structure “A” Capital Structure “B” RIO
5% 10% 15% 20% 25%
2.5% 5% 7.5% 10% 12.5%
5% 10% 15% 20% 25%
0% 5% 10% 15% 20%
EBIT
Interest
Profit before Tax
Tax
Profit after Tax
Return on Equity

37. ROI-ROE Analysis
ROE B A 20 15 10 5
ROI 5 10 15 20 25 30

38. ROI-ROE Analysis
Looking at the relationship between ROI & ROE we find that,
The ROE under capital structure A is higher than the ROE under capital structure B, when ROI is less than the cost of Debt.
The ROE under two capital structures is the same when ROI is equal to the cost of Debt. Hence the indifference/breakeven value of ROI is equal to the cost of debt.
The ROE under capital structure B is higher than the ROE under Capital structure A, when ROI is more than the cost of Debt.
Mathematical Relationship
The influence of ROI and Financial Leverage on ROE is mathematically as
follows,
ROI = (EBIT/Total Assets)
ROE = [ROI+(ROI-r)D/E](1-t)
Applying the above equation to Korex Limited, when its D/E ration is 1, we
may calculate the value of ROE for two values of ROI, 15% & 20%.

39. ROI-ROE Analysis
ROI = 15%
ROE = [15+(15- 10)1](0.5)
= 10.0%
ROI = 20%
ROE = [20 +( )1](0.5)
= 15.0%

40. Ratio Analysis
Traditionally firms have looked at certain ratio to assess whether they have
a satisfactory capital structure. The commonly used ratios are:
Interest coverage ratio
Cash flow coverage ratio
Debt service coverage ratio
Fixed asset coverage ratio
EBIT
Interest coverage ratio =
interest on debt
Suppose EBIT for Vitrex company were Tk. 120 million and the interest
burden on all debts were Tk. 20 million.
The interest coverage ratio = 120/20 = 6.
It means that even if EBIT drops by 83.5%, the earnings of Vitrex cover
its interest payment.

41. Ratio Analysis Cash flow coverage ratio
EBIT+Depreciation+other non-cash charge
Cash flow coverage ratio =
Loan repayment installment
interest on Debt +
(1-Tax rate)
Consider the following data for Vitrx Limited
Depreciation Tk. 20 million
EBIT Tk. 120 million
Interest on Debt Tk. 20 million
Tax rate 50%
Loan repayment installment Tk. 20 million

42. Ratio Analysis 120 + 20 Cash flow coverage ratio = 20 20 + (1-0.5)
= 3.5
Cash flow coverage ratio measure the debt capacity, covers the debt
service burden fully and focuses on cash flows.

43. Ratio Analysis Debt service coverage ratio
Financial Institutions which provide the bulk of loan-term debt finance
judge the debt capacity of firm in terms of its debt service coverage ratio.
This is defined as,
 PATi +DEPi +INTi +Li
Debt service coverage ratio =
 INTi +LRIi +Li
Where,
PAT = Profit after tax for year i
DEP = Depreciation for year i
INT = Interest on long term loan for year i
LRI = Loan repayment installment for year i
L = Lease rental for year i
N = period of the loan

44. Ratio Analysis Year 1 2 3 4 5 6 7 8 9 10 PAT -2.0 20 25 30 40 50 55
DEP 12
10.8
9.72
8.75
7.87
7.09
6.38
5.74
5.17
4.65
INT
17.6
17.05
14.85
12.65
10.45
8.25
6.05
3.85
1.65
LRI -

45. Ratio Analysis  PATi +DEPi +INTi +Li Debt service coverage ratio =
 INTi +LRIi +Li
DSCR = /270.00
= 1.93
Normally, financial institutions regard a dent service coverage ratio of 1.50
to 1.75 as satisfactory.
If the ratio is significantly less than 1.50 and the project is otherwise
Desirable, a term loan of a longer maturity may be provided.
If the ratio is significantly more than 1.75, the maturity may be shortened.

46. Ratio Analysis Fixed Asset Coverage Ratio Fixed Asset
Term Loan
Financial institutions feel comfortable if the fixed asset coverage ratio is at
least 1.25