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Target Capital Structure. Preferred, Optimal mix of D, E and P/S to: a) Max value of firm and b) Raise capital and finance expansionTradeoffs: More debt increases risk, which lowers stock P; but more debt leads to higher expected return on equity (ROE), which raises stock P. Optimal capital struc
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1. CHAPTER 13Capital Structure and Leverage Business vs. financial risk
Optimal capital structure
Operating leverage
Capital structure theory
2. Target Capital Structure Preferred, Optimal mix of D, E and P/S to: a) Max value of firm and b) Raise capital and finance expansion
Tradeoffs: More debt increases risk, which lowers stock P; but more debt leads to higher expected return on equity (ROE), which raises stock P.
Optimal capital structure: Max stock P.
3. 4 Factors That Influence Capital Structure 1. Business Risk Risk w/no debt, 100% E
2. Firms tax position Does it need more tax shelter from debt or not?
3. Financial flexibility Ability to raise capital, on reasonable terms, under adverse conditions
4. Managers: Conservative or aggressive?
4. Uncertainty about future Operating Income (EBIT), i.e., how well can we predict operating income?
Note that business risk does not include financing effects, of debt and interest expense for example. What is business risk?
5. What determines business risk? (Variability of EBIT) TR (Sales Revenue) = P x Q
Uncertainty about demand (Sales): Q
Uncertainty about output prices: P
Uncertainty about costs (Input P)
Elasticity of Demand Price sensitivity
Currency Risk Exposure Foreign sales?
Product and other types of legal liability
Operating leverage (FC vs. VC)
6. Firms can control business risk:
Negotiate long-term contracts for labor, supplies, inputs, leases, etc.
Marketing strategies to stabilize units sales and prices
Hedging with commodity and financial futures to stabilize revenues and costs
General Rule: The greater the business risk, the lower the optimal debt ratio.
7. What is operating leverage, and how does it affect a firms business risk? Operating leverage is the use of fixed costs rather than variable costs.
If most costs are fixed, and therefore do not decline when demand falls, then the firm has high operating leverage.
Examples: Nuclear plant, UM-Flint, GM and Ford, Automated Equipment vs. Low-Tech Equipment
General Rule: Higher the operating leverage, the greater the business risk, lower optimal debt
8. 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?
9. Using operating leverage Typical situation: Can use operating leverage to get higher E(EBIT), but risk also increases.
10. Illustration of Operating Leverage See Example Fig 13-2 in Book, p. 428 and graph p. 430
Breakeven Formula:
QBE = FC / (P VC)
$20,000 / ($2 1.50) = 40,000 units
$60,000 / ($2 1.00) = 60,000 units
11. 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 (Debt).
Remember: Business Risk is the risk with no debt.
12. Business risk vs. Financial risk Example: Income from sales commissions and Adjustable-rate Mortgage (ARM)
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 see p. 431.
Concentrates business risk on stockholders.
13. An example:Illustrating effects of financial leverage Two firms with the same operating leverage, business risk, and probability distribution of EBIT.
Only difference is 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
E = $20,000 E = $10,000
14. Firm U: Unleveraged, E = $20,000
15. Firm L: Leveraged, E = $10,000
16. Ratio comparison between leveraged and unleveraged firms FIRM U Bad Avg Good
BEP (EBIT/TA) 10.0% 15.0% 20.0%
ROE (NIAT/E) 6.0% 9.0% 12.0%
TIE (EBIT/INT) 8 8 8
FIRM L Bad Avg Good
BEP 10.0% 15.0% 20.0%
ROE 4.8% 10.8% 16.8%
TIE 1.67x 2.50x 3.30x
17. Risk and return for leveraged and unleveraged firms Expected Values:
Firm U Firm L
E(BEP) 15.0% 15.0%
E(ROE) 9.0% 10.8%
E(TIE) 8 2.5x
Risk Measures:
Firm U Firm L
sROE 2.12% 4.24%
CVROE 0.24 0.39
18. The effect of leverage on profitability and debt coverage For leverage to raise expected ROE, must have BEP > rd.
Why? If rd > 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 = rdD).
19. Conclusions: L vs. U Basic earning power (EBIT/TA) is unaffected by financial leverage.
L has higher expected ROE (10.8 v. 9%) because BEP > rd.
L has more risk: greater ROE (and EPS) variability because of fixed interest charges. Higher expected return (10.8%) is accompanied by higher risk (s = 4.24%) .
See Example in Book: Table 13-2, p. 432.
20. Optimal Capital Structure The capital structure (mix of debt, preferred, and common equity) at which share price (P0) is maximized.
Trades off higher E(ROE) and EPS against higher risk. The tax-related benefits of leverage are exactly offset by the debts risk-related costs.
The target capital structure is the mix of debt, preferred stock, and common equity with which the firm intends to raise capital.
21. Sequence of events in a recapitalization. Firm announces the recapitalization.
New debt is issued.
Proceeds are used to repurchase stock.
The number of shares repurchased is equal to the amount of debt issued divided by price per share.
22. Cost of debt at different debt ratios
23. Why do the bond rating and cost of debt depend upon the amount of debt borrowed? As the firm borrows more money, the firm increases its financial risk causing the firms bond rating to decrease, and its cost of debt to increase see p. 440.
24. Analyze the recapitalization at various debt levels and determine the EPS and TIE at each level. EBIT = $400,000 Shares = 80,000
25. Determining EPS and TIE at different levels of debt.(D = $250,000 and rd = 8%)
26. Determining EPS and TIE at different levels of debt.(D = $500,000 and rd = 9%)
27. Determining EPS and TIE at different levels of debt.(D = $750,000 and rd = 11.5%)
28. Determining EPS and TIE at different levels of debt.(D = $1,000,000 and rd = 14%)
29. Stock Price, with zero growth If all earnings are paid out as dividends, E(g) = 0.
EPS = DPS
To find the expected stock price (P0), we must find the appropriate rs at each of the debt levels discussed.
30. What effect does more debt have on a firms cost of equity? If the level of debt increases, the riskiness of the firm increases.
We have already observed the increase in the cost of debt.
However, the riskiness of the firms equity also increases, resulting in a higher rs.
31. The Hamada Equation Because the increased use of debt causes both the costs of debt and equity to increase, we need to estimate the new cost of equity.
The Hamada equation attempts to quantify the increased cost of equity due to financial leverage.
Uses the unlevered beta of a firm, which represents the business risk of a firm as if it had no debt.
32. The Hamada Equation
bL = bU[ 1 + (1 T) (D/E)]
Suppose, the risk-free rate is 6%, as is the market risk premium. The unlevered beta of the firm is 1.0. We were previously told that total assets were $2,000,000.
33. Calculating levered betas and costs of equity If D = $250,
bL = 1.0 [ 1 + (0.6)($250/$1,750) ]
bL = 1.0857
rs = rRF + (rM rRF) bL
rs = 6.0% + (6.0%) 1.0857
rs = 12.51%
34. Table for calculating levered betas and costs of equity
35. Finding Optimal Capital Structure The firms optimal capital structure can be determined two ways:
Minimizes WACC.
Maximizes stock price.
Both methods yield the same results.
36. Table for calculating levered betas and costs of equity
37. Determining the stock price maximizing capital structure
38. What debt ratio maximizes EPS? Maximum EPS = $3.90 at D = $1,000,000, and D/A = 50%. (Remember DPS = EPS because payout = 100%.)
Risk is too high at D/A = 50%.
39. What is Campus Delis optimal capital structure? P0 is maximized ($26.89) at D/A = $500,000/$2,000,000 = 25%, so optimal D/A = 25%.
EPS is maximized at 50%, but primary interest is stock price, not E(EPS).
The example shows that we can push up E(EPS) by using more debt, but the risk resulting from increased leverage more than offsets the benefit of higher E(EPS).
40. What if there were more/less business risk than originally estimated, how would the analysis be affected? If there were higher business risk, then the probability of financial distress would be greater at any debt level, and the optimal capital structure would be one that had less debt.
However, lower business risk would lead to an optimal capital structure with more debt.
41. Other factors to consider when establishing the firms target capital structure Industry average debt ratio
TIE ratios under different scenarios
Lender/rating agency attitudes
Reserve borrowing capacity
Effects of financing on control
Asset structure
Expected tax rate
42. How would these factors affect the target capital structure? Increase in sales stability? D
High operating leverage? D
Increase in the corporate tax rate? D
Increase in the personal tax rate? D
Increase in bankruptcy costs? D
Management spending lots of money on lavish perks? D
43. Modigliani-Miller Irrelevance Theory
44. Modigliani-Miller Irrelevance Theory The graph shows MMs tax benefit vs. bankruptcy cost theory.
Logical, but doesnt tell whole capital structure story. Main problem--assumes investors have same information as managers.
45. Incorporating signaling effects Signaling theory suggests firms should use less debt than MM suggest.
This unused debt capacity helps avoid stock sales, which depress stock price because of signaling effects.
46. What are signaling effects in capital structure? Assumptions:
Managers have better information about a firms long-run value and firms prospects than outside investors.
Managers act in the best interests of current stockholders.
What can managers be expected to do?
Issue stock if they think stock is overvalued.
Issue debt if they think stock is undervalued.
As a result, investors view a stock offering negatively--managers think stock is overvalued.
47. Favorable v. Unfavorable Prospects for a Firm Favorable prospects, profitable new product,
Issue Debt or Equity? Why?
Unfavorable prospect, pending losses,
Issue Debt or Equity? Why?
Conclusions:
1. Issuing stock is negative signal, depresses price
2. Firm should maintain reserve borrowing capacity, use more E, less D than suggested by trade-off theory
48. Conclusions on Capital Structure Need to make calculations as we did, but should also recognize inputs are guesstimates.
As a result of imprecise numbers, capital structure decisions have a large judgmental content.
We end up with capital structures varying widely among firms, even similar ones in same industry. See Table 13-4, p. 452.