Capital Structure and Leverage

KHALID AZIZ

0322-3385752

2

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF: ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752

3

Background

Capital structure refers to the mix of a firm’s debt and equity Preferred stock is assumed to be part of a firm’s debt

Financial leverage refers to using borrowed money to enhance the effectiveness of invested equity

Financial leverage of 10% means the firm’s capital structure contains 10% debt and 90% equity

4

The Central Issue

Can the use of debt increase the value of a firm’s equity Specifically, the firm’s stock price

Under certain conditions changing leverage increases stock price An optimal capital structure maximizes stock price

The relationship between capital structure and stock price is not precise nor fully understood

5

Risk in the Context of Leverage

Leverage influences stock price Alters the risk/return relationship in an equity investment

Measures of performance Operating income (AKA: EBIT or Earnings Before Interest and

Taxes)• Unaffected by leverage because it is calculated prior to the

deduction for interest Return on Equity (ROE) is Earnings after Taxes Stockholders’

Equity Earnings per Share (EPS) is Earnings after Taxes number of

shares• Investors regard EPS as an important indicator of future profitability

6

Risk in the Context of Leverage

Redefining Risk for Leverage-Related Issues Leverage-related risk is variation in ROE and

EPS• Business risk—variation in EBIT• Financial risk—additional variation in ROE and

EPS brought about by financial leverage

7

Figure 13.1: Business and Financial Risk

8

Leverage and Risk—Two Kinds of Each Relates to a company’s cost structure

Involves relative use of fixed and variable costs

Operating leverage has an influence on a firm’s business risk

9

Financial Leverage

Under certain conditions financial leverage can improve a firm’s ROE and EPS However, at other times it may worsen EPS

and ROE

10

Table 13.1

As the firm’s debt ratio rises, both

EPS and ROE rise dramatically. While

EAT falls, the number of shares outstanding falls at

a faster rate as debt replaces

equity.

11

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF: ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752

12

Financial Leverage

Return on Capital Employed (ROCE) Measures the profitability of operations before financing charges

but after taxes on a basis comparable to ROE

EBIT 1 - tax rateROCE =

debt + equity

When the ROCE exceeds the after-tax cost of debt, more leverage improves ROE and EPS

When ROCE is less than the after-tax cost of debt, more leverage makes ROE and EPS worse

13

Table 13.2

ABC is now doing rather

poorly—ROE and ROCE are quite low. As the firm adds leverage, EPS and ROE

decrease.

14

Financial Leverage—Example

Q: Selected financial information for the Albany Corporation follows:

Exa

mpl

e

Stock price = $10 per shareROE = EAT equity = $13,500 $90,000 = 15%EPS = EAT number of shares = $13,500 9,000,000 = $1.50

$13,500EAT

9,000,000Number of shares=9,000Tax (@40%)

$100,000Capital$22,500EBT

90,000Equity1,200Interest (@12%)

$10,000Debt $23,700EBIT

Albany Corporation at $10M Debt($000 except for per-share amounts)

The treasurer feels debt can be traded for equity without immediately affecting the price of the stock or the rate at which the firm can borrow. Management believes it is in the best interest of the company and its stockholders to move the firm’s EPS from its current level up to $2.00 per share. However, no opportunities are available to increase operating profit (EBIT) above the current level of $23.7 million. Will borrow more money and retiring stock raise Albany’s EPS, and if so what capital structure will achieve an EPS of $2.00?

15

Financial Leverage—Example

A: EPS will rise if ROCE exceeds the after-tax cost of debt. ROCE is currently:

Exa

mpl

e 23.7M 1 - 0.40ROCE = 14.2%

$100.0M

The after-tax cost of debt is 12% x (1 – 0.4), or 7.2%. Since 7.2% < 14.2%, trading equity for debt will increase EPS.

Using trial and error, you can determine that $45 million of debt is the approximate amount of debt that makes the firm’s EPS equal $2.00.

16

An Alternate Approach

Using ratios and information from financial statements we can solve for unknown values

EPS = ROE × Book Value per share ROE = EAT ÷ Equity EAT = [EBIT – Interest] (1 – tax rate) Interest = kd (Debt)

Therefore, EAT = [EBIT – (kd)(Debt)](1 – tax rate) Equity = Total Capital – Debt EPS = [[EBIT – (kd)(Debt)](1 – tax rate)] ÷ Total

Capital – Debt

17

An Alternate Approach

Using the previous example everything is known except Debt

If we set EPS to $2 we can solve for the value of Debt

0$45,156,25 Debt

10$Debt - $100.0M

.4) - )(1(.12)(Debt - $23.7M 2$

18

Financial Leverage and Financial Risk Financial leverage is a two-edged sword

Multiplies good results into great results Multiples bad results into terrible results

ROE and EPS for leveraged firms experience more variation

Financial risk is the increased variability in financial results that comes from additional leverage

19

Putting the Ideas Together—The Effect on Stock Price Leverage enhances performance while it

adds risk, pushing stock prices in opposite directions Enhanced performance makes the expected

return on stock higher, driving up the stock’s price

The increased risk drives down the stock’s price

• Which effect dominates, and when?

20

Real Investor Behavior and the Optimal Capital Structure When leverage is low an increase in debt

has a positive effect on investors At high debt levels concerns about risk

dominate and adding more debt decreases the stock’s price

As leverage increase its effect goes from positive to negative, which results in an optimum capital structure

21

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF: ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752

22

Figure 13.2: The Effect of Leverage on Stock Price

23

Finding the Optimum—A Practical Problem There is no way to determine the exact optimum

amount of leverage for a particular company at a particular time Appropriate level tends to vary according to

• Nature of a company’s business• If firm has high business risk it should use less leverage

• Economic climate• If the outlook is poor investors are likely to be more sensitive to

risk

As a practical matter the optimum capital structure cannot be precisely located

24

The Target Capital Structure

A firm’s target capital structure is management’s estimate of the optimal capital structure An approximation or best guess as to the

amount of debt that will maximize the firm’s stock price

25

The Effect of Leverage When Stocks Aren’t Trading at Book Value

We’ve assumed that changes in leverage involve purchasing equity at book value

If this is not the case, things are more complex Repurchasing stock at prices other than book

value will have the same general impact on ROE, but not necessarily for EPS

• However the important point is the direction of the stock price change, not the exact amount

26

The Degree of Financial Leverage (DFL)—A Measurement Financial leverage magnifies changes in EBIT

into larger changes in ROE and EPS The degree of financial leverage (DFL) relates

relative changes in EBIT to relative changes in EPS

% EPSDFL = or % EPS = DFL % EBIT

% EBIT

Somewhat

tedious

An easier method of calculating DFL is:EBIT

DFL = EBIT - Interest

27

The Degree of Financial Leverage (DFL)—A Measurement—Example

Q: Selected income statement and capital information for the Moberly Manufacturing Company follow ($000):

Exa

mpl

e

Currently 700,000 shares of common stock are outstanding. The firm pays 15% interest on its debt and anticipates that it can borrow as much as it reasonably needs at that rate. The income tax rate is 40%

Moberly is interested in boosting the price of its stock. To do that management is considering restructuring capital to 50% debt in the hope that the increased EPS will have a positive effect on price. However, the economic outlook is shaky, and the company’s CFO thinks there’s a good chance that a deterioration in business conditions will reduce EBIT next year. At the moment Moberly’s stock sells for its book value of $10 per share.

Estimate the effect of the proposed restructuring on EPS. Then use the degree of financial leverage to assess the increase in risk that will come along with it.

$8,000Total$1,380EBIT

7,000 Equity4,200Cost/expense

$1,000 Debt$5,580Revenue

Capital

28

The Degree of Financial Leverage (DFL)—A Measurement (Example)

A: Since the equity is trading at book value, this is a relatively simple example.

Exa

mpl

e

400,000700,000Shares outstanding

ProposedCurrent

$8,000$8,000Total

4,0007,000 Equity

$4,000$1,000 Debt

Capital

$1.170$1.054EPS

$468$738EAT

ProposedCurrent

312492Tax (@40%)

$780$1,230EBT

600150Interest (15% of debt)

$1,380$1,380EBIT

If business conditions remain unchanged, a higher EPS will result

with the addition of debt.

29

The Degree of Financial Leverage (DFL)—A Measurement—Example

A: Next, calculate DFL:

Exa

mpl

e Current

Proposed

$1,380DFL = 1.12

$1,380 - $150

$1,380DFL = 1.77

$1,380 - $600

EPS will be much more volatile under the proposed plan. EPS will change by a factor of 1.77 vs. 1.12.

30

EBIT-EPS Analysis

Managers need a way to quantify and analyze the tradeoffs between risk and results when changing leverage levels

Provides a graphical portrayal of the trade-off Involves graphing EPS as a function of EBIT for each

leverage level

Portrays the results of leverage and helps to decide how much to use

31

Figure 13.3: EBIT – EPS Analysis for ABC Corporation (from Table 13.1, Columns 1 and 2)

When examining the ABC Corporation you can see that

the 50% Debt and No Leverage lines intersect. At the point of intersection ABC is indifferent between the two plans. However, to the left of the intersection the 50% Debt plan is preferable, but to the

right of the point the No Leverage plan is preferable.

It is important to determine

the indifference point, which occurs when

the two plans offer the same

EBIT.

32

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF:

ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752

33

Operating Leverage

Terminology and Definitions Risk in Operations—Business Risk

• Variation in EBIT Fixed and Variable Costs and Cost Structure

• Fixed costs don’t change with the level of sales, while variable costs do

• Fixed costs include rent, depreciation, utilities, salaries• Variable costs include direct labor, direct materials, sales

commissions

• The mix of fixed and variable costs in a firm’s operations is its cost structure

Operating Leverage Defined• Refers to the amount of fixed costs in the cost structure

34

Breakeven Analysis

Used to determine the level of activity a firm must achieve to stay in business in the long run

Shows the mix of fixed and variable cost and the volume required for zero profit/loss Profit/loss generally measured by EBIT

35

Breakeven Analysis

Breakeven Diagrams Breakeven occurs at the intersection of

revenue and total cost • Represents the level of sales at which revenue

equals cost

36

Figure 13.5: The Breakeven Diagram

37

Breakeven Analysis

The Contribution Margin Every sale makes a contribution of the

difference between price (P) and variable cost (V)

• Ct = P – V Can be expressed as a percentage of

revenue• Known as the contribution margin (CM)• CM = (P – V) P

38

Breakeven Analysis—Example

Q: Suppose a company can make a unit of product for $7 in variable labor and materials, and sell it for $10. What are the contribution and contribution margin?

A: The contribution per unit is $3, or $10 - $7, while the contribution margin is $3 $10, or 30%.

Exa

mpl

e

39

Breakeven Analysis

Calculating the Breakeven Sales Level EBIT is revenue minus cost, or

• EBIT = PQ – VQ – FC

Breakeven occurs when revenue (PQ) equals total cost (VQ + FC), or

• QB/E = FC (P – V)• Breakeven tells us how many units have to be sold to

contribute enough money to pay for fixed costs• Can also be expressed in terms of dollar sales

• SB/E = P(FC) (P – V) or FC CM

40

Breakeven Analysis—Example

Q: What is the breakeven sales level in units and dollars for a company that can make a unit of product for $7 in variable costs and sell it for $10, if the firm has fixed costs of $1,800 per month?

A: The breakeven point in units is $1,800 ($10 - $7) = 600 units. The breakeven point in dollars is $10 per unit times 600 units, or $6,000, which could also be calculated as $1,800 0.30. Thus, the firm must sell 600 units per month to cover fixed costs.

Exa

mpl

e

41

The Effect of Operating Leverage As volume moves away from breakeven, profit or loss

increases faster with more operating leverage The Risk Effect

More operating leverage leads to larger variations in EBIT, or business risk

The Effect on Expected EBIT Thus, when a firm is operating above breakeven, more

operating leverage implies higher operating profit• If a firm is relatively sure of its operating level, it is in the firm’s best

interests to trade variable costs for fixed cost (assuming the firm is operating above breakeven)

42

Figure 13.6: Breakeven Diagram at High and Low Operating Leverage

43

The Effect of Operating Leverage—Example

Q: Suppose Firm A has fixed costs of $1,000 per period, sells its product for $10, and has variable costs of $8 per unit. Further, suppose Firm B has fixed costs of $1,500 and also sells its product for $10 a unit. Both firms are at the same breakeven point. What variable cost must Firm B have if it is to achieve the same breakeven point as Firm A? State the trade-off at the breakeven point. Which structure is preferred if there’s a choice?

A: Both firms have a breakeven point of 500 units (Firm A: $1,000 $2). We need to solve the breakeven formula for Firm B’s variable costs per unit:

QB/EFirm B = FC (P – VB)

500 units = $1,500 ($10 – VB)

VB = $7

The preferred structure depends on volatility—if sales are expected to be highly volatile, the lower fixed cost structure might be better in the long run.

Exa

mpl

e

Thus, at breakeven, a $1differential in contribution

makes up for a $500difference in fixed cost.

44

The Degree of Operating Leverage (DOL)—A Measurement

Operating leverage amplifies changes in sales volume into larger changes in EBIT

DOL relates relative changes in volume (Q) to relative changes in EBIT

C

% EBIT Q(P - V)DOL = or

% Q Q(P - V) - F

45

The Degree of Operating Leverage (DOL)—A Measurement

Q: The Albergetti Corp. sells its product at an average price of $10. Variable costs are $7 per unit and fixed costs are $600 per month. Evaluate the degree of operating leverage when sales are 5% and then 50% above the breakeven level.

A: First, compute the breakeven volume: $600 ($10 - $7) = 200 units. Breakeven plus 5% is 200 x 1.05 or 210 units, while breakeven plus 50% is 200 x 1.50 or 300 units. DOL at 210 units is:

DOL at 300 units is:

Exa

mpl

e

Note that DOL decreases as the output level

increases abovebreakeven.

Q=210

210($10 - $7)DOL = 21

210($10 - $7) - $600

Q=300

300($10 - $7)DOL = 3

300($10 - $7) - $600

46

Comparing Operating and Financial Leverage Financial and operating leverage are similar in that both can

enhance results while increasing variation Financial leverage involves substituting debt for equity in the firm’s

capital structure Operating leverage involves substituting fixed costs for variable

costs in the firm’s cost structure Both methods involve substituting fixed cash outflows for variable

cash outflows Both kinds of leverage make their respective risks larger as the

levels of leverage increase However, financial risk is non-existent if debt is not present, while

business risk would still exist even if no operating leverage existed Financial leverage is more controllable than operating leverage

47

The Compounding Effect of Operating and Financial Leverage The effects of financial and operating leverage

compound one another Changes in sales are amplified by operating leverage

into larger relative changes in EBIT Which in turn are amplified into still larger relative changes in

ROE and EPS by financial leverage• The effect is multiplicative, not additive

Thus, fairly modest changes in sales can lead to dramatic changes in ROE and EPS

The combined effect can be measured using degree of total leverage (DTL) DTL = DOL × DFL

48

Figure 13.9: The Compounding Effect of Operating Leverage and Financial Leverage

49

The Compounding Effect of Operating and Financial Leverage—Example

Q: The Allegheny Company is considering replacing a manual production process with a machine. The money to buy the machine will be borrowed. The replacement of people with a machine will alter the firm’s cost structure in favor of fixed costs, while the loan will move the capital structure in the direction of more debt. The firm’s leverage positions at expected output levels with and without the project are summarized as follows:

The economic outlook is uncertain and some managers fear a decline in sales of as much as 10% in the coming year. Evaluate the effect of the proposed project on risk in financial performance.

A: The firm’s current DTL is 2 x 1.5, or 3, meaning a 10% decline in sales could result in a 30% decline in EPS. Under the proposal, the DTL will be much higher: 8.75, or 3.5 x 2.5, meaning a 10% drop in sales could lead to a 87.5% drop in EPS.

Exa

mpl

e

2.53.5Proposed

1.52.0Current

DFLDOL

50

Capital Structure Theory

Does capital structure affect stock price and the market value of the firm? If so, is there an optimal structure that

maximizes either or both? Results indicate that capital structure does

impact stock prices but there’s no way to determine the optimal structure with any precision

51

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF:

ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752

52

Background—The Value of the Firm Notation

Vd = market value of the firm’s debt Ve = market value of the firm’s stock or equity Vf = market value of the firm in total

• Vf = Vd + Ve

Investors’ returns on the firm’s securities will be Kd = return on an investment in debt Ke = return on an investment in equity

Theory begins by assuming a world without taxes or transaction costs, so investors’ returns are exactly component capital costs Ka = average cost of capital

53

Background—The Value of the Firm Value is Based on Cash Flow Which Comes

from Income Earnings ultimately determine value because all cash

flows paid to investors come from earnings Dividends and interest payments are both

perpetuities• The firm’s market value is the sum of their present values

fd e

fa

annual interest paid to bondholders total annual dividend paid to stockholdersV =

k k

which is equivalent to saying

Operating IncomeV =

k

Returns drive value in an inverse relationship.

54

Figure 13.10: Variation in Value and Average Return with Capital Structure

The value of the firm and the firm’s stock

price reach a maximum when the

average cost of capital is minimized.

55

The Early Theory by Modigliani and Miller (MM) Restrictive Assumptions in the Original

Model In 1958 MM published their first paper on

capital structure• Included numerous restrictions such as

• No income taxes• Securities trade in perfectly efficient capital markets with

no transaction costs• No costs to bankruptcy

• Investors and companies can borrow as much as they want at the same rate

56

The Early Theory by Modigliani and Miller (MM) The Assumptions and Reality

Realistically income taxes exist Realistically the costs of bankruptcy are quite

large Realistically individuals cannot borrow at the

same rate as companies and interest rates usually rise as more money is borrowed

57

The Early Theory by Modigliani and Miller (MM) The Result

Under MM’s initial set of restrictions, value is independent of capital structure

As cheaper debt is added the cost of equity increases because of increased risk

• However the weight of the more expensive equity is decreasing while the weight of the cheaper debt is increasing, leading to a constant weighted average cost of capital

58

Figure 13.11: The Independence Hypothesis

59

The Early Theory by Modigliani and Miller (MM) The Arbitrage Concept

Arbitrage means making a profit by buying and selling the same thing at the same time in two different markets

MM proposed that arbitrage by equity investors would hold the value of the firm constant as debt levels changed

• Equity investors could sell shares in a leveraged firm and buy shares in an unleveraged firm by borrowing money on their own

Interpreting the Result The MM result implies that leverage affects value because of

market imperfections• Such as taxes and transaction costs (including bankruptcy)

60

Relaxing the Assumptions—More Insights Financing and the U.S. Tax System

Tax system favors debt financing over equity financing

• Interest expense on debt is tax deductible while dividends on stock are not

61

Table 13.4

Total payments to investors are higher

for the leveraged company.

The All Equity firm pays more taxes

because it receives no interest expense

deduction.

62

Relaxing the Assumptions—More Insights Including Corporate Taxes in the MM

Theory When taxes exist operating income (OI) must

be split between investors and the government

• This lowers the firm’s value compared to what it would be if no taxes existed

• Amount of reduction depends on the firm’s use of leverage

• Use of debt reduces taxable income which reduces taxes

63

Including Corporate Taxes in the MM Theory In the MM model with taxes interest provides a

tax shield that reduces government’s share of the firm’s earnings When a firm uses debt financing the government’s

take is reduced by (corporate tax rate × interest expense) every year

• Present value of tax shield = (corporate tax rate × interest expense) kd

• Since interest is the amount of debt (B) times the interest rate on the debt, the above equation can be written as

d

d

corporate tax rate x B x kPV of tax shield = = TB

k

64

Including Corporate Taxes in the MM Theory Having debt in the capital structure

increases a firm’s value by the magnitude of that debt times the tax rate

The benefit of debt accrues entirely to stockholders because bond returns are fixed

65

Figure 13.12: MM Theory with Taxes

In the MM model with taxes value increases steadily as

leverage is added. Thus, the firm’s value is maximized with

100% debt. Note that kd remains constant across all levels of

debt.

66

Including Bankruptcy Costs in the MM Theory As leverage increases past a certain point,

investors begin raising their required rates of return The probability of bankruptcy failure increases

Eventually the weighted average cost of capital will be minimized and the firm value will be maximized The MM model with taxes and bankruptcy costs

concludes that an optimal capital structure exists

67

Figure 13.13: MM Theory with Taxes and Bankruptcy Costs

68

An Insight into Mergers and Acquisitions In many mergers one company buys the

stock of another company called the target The buying company needs to buy shares

of the target company at a premium over the current market price Paying twice the current market value for a

target firm is not unheard of Why do companies do this?

69

An Insight into Mergers and Acquisitions One argument is that target firms may be

underutilizing their debt capacity Thus, a restructuring of capital may raise the value of

the target firm

Acquiring firms often raise the cash needed to buy the target firm’s shares with debt The resulting merged business ends up with more

debt than the individual firms had before the merger• May theoretically be justified if adding debt adds value

70

JOIN KHALID AZIZ

ACCOUNTING, ECONOMICS,COST ACCOUNTING & STATISTICS OF:

ICMAP STAGE 1,2,3,4 ICAP MODULE A,B,C,D PIPFA.COMPLETE BBA & MBA B.COM O/A LEVELS (ACCOUNTING) MA-ECONOMICS INTERMEDIATE COMMERCER1173,ALNOOR SOCIETY, BLOCK 19, F.B.AREA, KARACHI, PAKISTAN.

0322-3385752