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Chapter 16: Capital Structure Decisions:  The Basics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Basic Definitions ,[object Object],[object Object],[object Object],[object Object],[object Object]
How can capital structure affect value? (Continued…) WACC = w d  (1-T) r d   +  w e  r s
A Preview of Capital Structure Effects ,[object Object],[object Object],[object Object],(Continued…)
The Effect of Additional Debt on WACC ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],(Continued…)
The Effect on WACC (Continued) ,[object Object],[object Object],[object Object],[object Object],(Continued…)
The Effect of Additional Debt on FCF ,[object Object],[object Object],[object Object],(Continued…)
[object Object],[object Object],[object Object],(Continued…)
[object Object],[object Object],[object Object],(Continued…)
Asymmetric Information and Signaling ,[object Object],[object Object],[object Object]
What is business risk? ,[object Object],[object Object],Probability EBIT E(EBIT) 0 Low risk High risk
Factors That Influence Business Risk ,[object Object],[object Object],[object Object],[object Object],[object Object]
What is operating leverage, and how does it affect a firm’s business risk? ,[object Object],[object Object],(More...)
[object Object],(More...) Sales $ Rev. TC F Q BE Sales $ Rev. TC F Q BE EBIT }
Operating Breakeven ,[object Object],[object Object],[object Object],[object Object],[object Object],(More...)
Probability EBIT L Low operating leverage High operating leverage EBIT H ,[object Object]
Business Risk versus Financial Risk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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 Consider Two Hypothetical Firms Both firms have same operating leverage, business risk, and EBIT of $3,000.  They differ only with respect to use of debt .
Impact of Leverage on Returns EBIT   $3,000 $3,000 Interest   0   1,200 EBT $3,000 $1,800 Taxes (40%)   1 ,200   720 NI   $1,800 $1,080 ROE  9.0%  10.8%   Firm U  Firm L
Why does leveraging increase return? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Now consider the fact that EBIT is not known with certainty.  What is the impact of uncertainty on stockholder profitability and risk for Firm U and Firm L? Continued…
Firm U:  Unleveraged Prob. 0.25 0.50 0.25 EBIT $2,000 $3,000 $4,000 Interest   0   0   0 EBT $2,000 $3,000 $4,000 Taxes (40%)   800   1,200   1,600 NI $1,200 $1,800 $2,400 Economy Bad Avg.   Good
Firm L:  Leveraged Prob.* 0.25 0.50 0.25 EBIT* $2,000 $3,000 $4,000 Interest   1,200   1,200   1,200 EBT $  800 $1,800 $2,800 Taxes (40%)   320   720   1,120 NI $  480 $1,080 $1,680 *Same as for Firm U. Economy Bad Avg.   Good
Firm U Bad Avg. Good BEP 10.0% 15.0% 20.0% ROIC 6.0% 9.0% 12.0% ROE 6.0% 9.0% 12.0% TIE  n.a.  n.a.  n.a.  Firm L Bad Avg. Good BEP 10.0% 15.0% 20.0% ROIC 6.0% 9.0% 12.0% ROE 4.8% 10.8% 16.8% TIE 1.7x 2.5x 3.3x
Profitability Measures: E(BEP) 15.0% 15.0% E(ROIC) 9.0% 9.0% E(ROE) 9.0% 10.8% Risk Measures:  ROIC 2.12% 2.12%  ROE 2.12% 4.24% U    L
Conclusions ,[object Object],[object Object],[object Object],(More...)
[object Object],[object Object],[object Object],[object Object],[object Object],(More...)
[object Object],[object Object],[object Object]
Capital Structure Theory ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
MM Theory:  Zero Taxes ,[object Object],[object Object],[object Object],[object Object]
MM Theory:  Corporate Taxes ,[object Object],[object Object],[object Object],[object Object]
Value of Firm, V 0 Debt V L V U MM relationship between value and debt when corporate taxes are considered. Under MM with corporate taxes, the firm’s  value increases continuously  as more and more debt is used. TD
Cost of Capital (%) 0 20 40 60 80 100 Debt/Value Ratio (%) MM relationship between capital costs and leverage when corporate taxes are considered. r s WACC r d (1 - T)
Miller’s Theory:  Corporate and  Personal Taxes ,[object Object],[object Object],[object Object]
Miller’s Model with Corporate and Personal Taxes V L  = V U  +  [ 1 -  ] D. T c  = corporate tax rate. T d  = personal tax rate on debt income. T s  = personal tax rate on stock income. (1 - T c )(1 - T s ) (1 - T d )
T c  = 40%, T d  = 30%, and T s  = 12%. V L = V U  +  [ 1 -  ] D = V U  + (1 - 0.75)D =   V U  + 0.25D. Value rises with debt; each $1 increase in debt raises L’s value by $0.25. (1 - 0.40)(1 - 0.12) (1 - 0.30)
Conclusions with Personal Taxes ,[object Object],[object Object],[object Object]
Trade-off Theory ,[object Object],[object Object],[object Object],[object Object]
Signaling Theory ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Debt Financing and Agency Costs ,[object Object],[object Object],[object Object],[object Object],(More...)
[object Object],[object Object],[object Object]
Choosing the Optimal Capital Structure: Example Currently is all-equity financed.  Expected EBIT = $500,000. Firm expects zero growth. 100,000 shares outstanding; r s  = 12%; P 0  = $25; T = 40%; b = 1.0; r RF  = 6%;  RP M  = 6%.
Estimates of Cost of Debt Percent financed with debt, w d   r d   0%   -   20%   8.0%   30%   8.5%   40%   10.0%   50% 12.0% If company recapitalizes, debt would be issued to repurchase stock.
The Cost of Equity at Different Levels of Debt: Hamada’s Equation  ,[object Object],[object Object],[object Object]
The Cost of Equity for w d  = 20% ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cost of Equity vs. Leverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The WACC for w d  = 20% ,[object Object],[object Object],[object Object],[object Object]
WACC vs. Leverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Corporate Value for w d  = 20% ,[object Object],[object Object],[object Object],[object Object]
Corporate Value vs. Leverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Debt and Equity for w d  = 20% ,[object Object],[object Object],[object Object],[object Object]
Debt and Stock Value vs. Leverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Wealth of Shareholders ,[object Object],[object Object]
Stock Price for w d  = 20% ,[object Object],[object Object],[object Object],(More…)
Stock Price for w d  = 20% (Continued) ,[object Object],[object Object],[object Object],(More…)
Stock Price for w d  = 20%  (Continued) ,[object Object],[object Object],[object Object],(More…)
Stock Price for w d  = 20% (Continued) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Number of Shares Repurchased ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Price per Share vs. Leverage ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Optimal Capital Structure ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],What other factors would managers consider when setting the target capital structure?
[object Object],[object Object],[object Object],[object Object]

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Capital structure2

  • 1.
  • 2.
  • 3. How can capital structure affect value? (Continued…) WACC = w d (1-T) r d + w e r s
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. 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 Consider Two Hypothetical Firms Both firms have same operating leverage, business risk, and EBIT of $3,000. They differ only with respect to use of debt .
  • 19. Impact of Leverage on Returns EBIT $3,000 $3,000 Interest 0 1,200 EBT $3,000 $1,800 Taxes (40%) 1 ,200 720 NI $1,800 $1,080 ROE 9.0% 10.8% Firm U Firm L
  • 20.
  • 21. Now consider the fact that EBIT is not known with certainty. What is the impact of uncertainty on stockholder profitability and risk for Firm U and Firm L? Continued…
  • 22. Firm U: Unleveraged Prob. 0.25 0.50 0.25 EBIT $2,000 $3,000 $4,000 Interest 0 0 0 EBT $2,000 $3,000 $4,000 Taxes (40%) 800 1,200 1,600 NI $1,200 $1,800 $2,400 Economy Bad Avg. Good
  • 23. Firm L: Leveraged Prob.* 0.25 0.50 0.25 EBIT* $2,000 $3,000 $4,000 Interest 1,200 1,200 1,200 EBT $ 800 $1,800 $2,800 Taxes (40%) 320 720 1,120 NI $ 480 $1,080 $1,680 *Same as for Firm U. Economy Bad Avg. Good
  • 24. Firm U Bad Avg. Good BEP 10.0% 15.0% 20.0% ROIC 6.0% 9.0% 12.0% ROE 6.0% 9.0% 12.0% TIE n.a. n.a. n.a. Firm L Bad Avg. Good BEP 10.0% 15.0% 20.0% ROIC 6.0% 9.0% 12.0% ROE 4.8% 10.8% 16.8% TIE 1.7x 2.5x 3.3x
  • 25. Profitability Measures: E(BEP) 15.0% 15.0% E(ROIC) 9.0% 9.0% E(ROE) 9.0% 10.8% Risk Measures:  ROIC 2.12% 2.12%  ROE 2.12% 4.24% U L
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32. Value of Firm, V 0 Debt V L V U MM relationship between value and debt when corporate taxes are considered. Under MM with corporate taxes, the firm’s value increases continuously as more and more debt is used. TD
  • 33. Cost of Capital (%) 0 20 40 60 80 100 Debt/Value Ratio (%) MM relationship between capital costs and leverage when corporate taxes are considered. r s WACC r d (1 - T)
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  • 35. Miller’s Model with Corporate and Personal Taxes V L = V U + [ 1 - ] D. T c = corporate tax rate. T d = personal tax rate on debt income. T s = personal tax rate on stock income. (1 - T c )(1 - T s ) (1 - T d )
  • 36. T c = 40%, T d = 30%, and T s = 12%. V L = V U + [ 1 - ] D = V U + (1 - 0.75)D = V U + 0.25D. Value rises with debt; each $1 increase in debt raises L’s value by $0.25. (1 - 0.40)(1 - 0.12) (1 - 0.30)
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  • 42. Choosing the Optimal Capital Structure: Example Currently is all-equity financed. Expected EBIT = $500,000. Firm expects zero growth. 100,000 shares outstanding; r s = 12%; P 0 = $25; T = 40%; b = 1.0; r RF = 6%; RP M = 6%.
  • 43. Estimates of Cost of Debt Percent financed with debt, w d r d 0% - 20% 8.0% 30% 8.5% 40% 10.0% 50% 12.0% If company recapitalizes, debt would be issued to repurchase stock.
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