1、,Corporate Finance Ross Westerfield Jaffe,Seventh Edition,Chapter Outline,15.1 The Capital-Structure Question and The Pie Theory 15.2 Maximizing Firm Value versus Maximizing Stockholder Interests 15.3 Financial Leverage and Firm Value: An Example 15.4 Modigliani and Miller: Proposition II (No Taxes)
2、 15.5 Taxes 15.6 Summary and Conclusions,The Capital-Structure Question and The Pie Theory,The value of a firm is defined to be the sum of the value of the firms debt and the firms equity. V = B + S,If the goal of the management of the firm is to make the firm as valuable as possible, then the firm
3、should pick the debt-equity ratio that makes the pie as big as possible.,Value of the Firm,S,B,S,B,The Capital-Structure Question,There are really two important questions: Why should the stockholders care about maximizing firm value? Perhaps they should be interested in strategies that maximize shar
4、eholder value. What is the ratio of debt-to-equity that maximizes the shareholders value?As it turns out, changes in capital structure benefit the stockholders if and only if the value of the firm increases.,Financial Leverage, EPS, and ROE,Current Assets $20,000 Debt $0 Equity $20,000 Debt/Equity r
5、atio 0.00 Interest rate n/a Shares outstanding 400 Share price $50,Proposed$20,000$8,000$12,0002/38%240$50,Consider an all-equity firm that is considering going into debt. (Maybe some of the original shareholders want to cash out.),EPS and ROE Under Current Capital Structure,Recession Expected Expan
6、sion EBIT $1,000 $2,000 $3,000 Interest 0 0 0 Net income $1,000 $2,000 $3,000 EPS $2.50 $5.00 $7.50 ROA 5% 10% 15% ROE 5% 10% 15%Current Shares Outstanding = 400 shares,EPS and ROE Under Proposed Capital Structure,Recession Expected Expansion EBIT $1,000 $2,000 $3,000 Interest 640 640 640 Net income
7、 $360 $1,360 $2,360 EPS $1.50 $5.67 $9.83 ROA 5% 10% 15% ROE 3% 11% 20%Proposed Shares Outstanding = 240 shares,EPS and ROE Under Both Capital Structures,Levered Recession Expected Expansion EBIT $1,000 $2,000 $3,000 Interest 640 640 640 Net income $360 $1,360 $2,360 EPS $1.50 $5.67 $9.83 ROA 5% 10%
8、 15% ROE 3% 11% 20%Proposed Shares Outstanding = 240 shares,All-Equity Recession Expected Expansion EBIT $1,000 $2,000 $3,000 Interest 0 0 0 Net income $1,000 $2,000 $3,000 EPS $2.50 $5.00 $7.50 ROA 5% 10% 15% ROE 5% 10% 15% Current Shares Outstanding = 400 shares,Financial Leverage and EPS,(2.00),0
9、.00,2.00,4.00,6.00,8.00,10.00,12.00,1,000,2,000,3,000,EPS,Debt,No Debt,Break-even point,EBI in dollars, no taxes,Advantage to debt,Disadvantage to debt,EBIT,1,600,Assumptions of the Modigliani-Miller Model,Homogeneous Expectations Homogeneous Business Risk Classes Perpetual Cash Flows Perfect Capita
10、l Markets: Perfect competition Firms and investors can borrow/lend at the same rate Equal access to all relevant information No transaction costs No taxes,Homemade Leverage: An Example,Recession Expected Expansion EPS of Unlevered Firm $2.50 $5.00 $7.50Earnings for 40 shares $100 $200 $300 Less inte
11、rest on $800 (8%) $64 $64 $64 Net Profits $36 $136 $236 ROE (Net Profits / $1,200) 3% 11% 20%We are buying 40 (from 400) shares of a $50 stock on margin. We get the same ROE as if we bought into a levered firm. Our personal debt equity ratio is:,Homemade (Un)Leverage: An Example,Recession Expected E
12、xpansion EPS of Levered Firm $1.50 $5.67 $9.83Earnings for 24 shares $36 $136 $236 Plus interest on $800 (8%) $64 $64 $64 Net Profits $100 $200 $300 ROE (Net Profits / $2,000) 5% 10% 15%Buying 24 shares of an other-wise identical levered firm along with the some of the firms debt gets us to the ROE
13、of the unlevered firm. This is the fundamental insight of M&M,The MM Propositions I & II (No Taxes),Proposition I Firm value is not affected by leverage VL = VU Proposition II Leverage increases the risk and return to stockholders rs = r0 + (B / SL) (r0 - rB) rB is the interest rate (cost of debt) r
14、s is the return on (levered) equity (cost of equity) r0 is the return on unlevered equity (cost of capital) B is the value of debt SL is the value of levered equity,The MM Proposition I (No Taxes),The derivation is straightforward:,The present value of this stream of cash flows is VL,The present val
15、ue of this stream of cash flows is VU,The MM Proposition II (No Taxes),The derivation is straightforward:,The Cost of Equity, the Cost of Debt, and the Weighted Average Cost of Capital: MM Proposition II with No Corporate Taxes,Debt-to-equity Ratio,Cost of capital: r (%),r0,rB,rB,The MM Propositions
16、 I & II (with Corporate Taxes),Proposition I (with Corporate Taxes) Firm value increases with leverage VL = VU + TC B Proposition II (with Corporate Taxes) Some of the increase in equity risk and return is offset by interest tax shield rS = r0 + (B/S)(1-TC)(r0 - rB) rB is the interest rate (cost of
17、debt) rS is the return on equity (cost of equity) r0 is the return on unlevered equity (cost of capital) B is the value of debt S is the value of levered equity,The MM Proposition I (Corp. Taxes),The present value of this stream of cash flows is VL,The present value of the first term is VU The prese
18、nt value of the second term is TCB,The MM Proposition II (Corp. Taxes),Start with M&M Proposition I with taxes:,Since,The cash flows from each side of the balance sheet must equal:,Divide both sides by S,Which quickly reduces to,The Effect of Financial Leverage on the Cost of Debt and Equity Capital
19、 with Corporate Taxes,Debt-to-equity ratio (B/S),Cost of capital: r (%),r0,rB,Total Cash Flow to Investors Under Each Capital Structure with Corp. Taxes,All-Equity Recession Expected Expansion EBIT $1,000 $2,000 $3,000 Interest 0 0 0 EBT $1,000 $2,000 $3,000 Taxes (Tc = 35% $350 $700 $1,050Total Cas
20、h Flow to S/H $650 $1,300 $1,950,Levered Recession Expected Expansion EBIT $1,000 $2,000 $3,000 Interest ($800 8% ) 640 640 640 EBT $360 $1,360 $2,360 Taxes (Tc = 35%) $126 $476 $826 Total Cash Flow $234+640 $884+$640 $1,534+$640 (to both S/H & B/H): $874 $1,524 $2,174 EBIT(1-Tc)+TCrBB $650+$224 $1,
21、300+$224 $1,950+$224$874 $1,524 $2,174,Total Cash Flow to Investors Under Each Capital Structure with Corp. Taxes,The levered firm pays less in taxes than does the all-equity firm. Thus, the sum of the debt plus the equity of the levered firm is greater than the equity of the unlevered firm.,S,G,S,G
22、,B,All-equity firm Levered firm,Total Cash Flow to Investors Under Each Capital Structure with Corp. Taxes,The sum of the debt plus the equity of the levered firm is greater than the equity of the unlevered firm. This is how cutting the pie differently can make the pie larger: the government takes a
23、 smaller slice of the pie!,S,G,S,G,B,All-equity firm Levered firm,Summary: No Taxes,In a world of no taxes, the value of the firm is unaffected by capital structure. This is M&M Proposition I: VL = VU Prop I holds because shareholders can achieve any pattern of payouts they desire with homemade leve
24、rage.In a world of no taxes, M&M Proposition II states that leverage increases the risk and return to stockholders,Summary: Taxes,In a world of taxes, but no bankruptcy costs, the value of the firm increases with leverage. This is M&M Proposition I: VL = VU + TC B Prop I holds because shareholders c
25、an achieve any pattern of payouts they desire with homemade leverage.In a world of taxes, M&M Proposition II states that leverage increases the risk and return to stockholders.,Prospectus: Bankruptcy Costs,So far, we have seen M&M suggest that financial leverage does not matter, or imply that taxes
26、cause the optimal financial structure to be 100% debt. In the real world, most executives do not like a capital structure of 100% debt because that is a state known as “bankruptcy”. In the next chapter we will introduce the notion of a limit on the use of debt: financial distress. The important use of this chapter is to get comfortable with “M&M algebra”.,
