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Corporate Finance. Lecture 7. Topics covered. Weighted Average Cost of Capital Long term financing with equity. Equity. Debt. r WACC =. × r Equity +. × r Debt × (1 – T C ). Equity + Debt. Equity + Debt. S. B. r WACC =. × r S +. × r B × (1 – T C ). S + B. S + B.
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Corporate Finance Lecture 7
Topics covered • Weighted Average Cost of Capital • Long term financing with equity
Equity Debt rWACC = × rEquity + × rDebt ×(1 – TC) Equity + Debt Equity + Debt S B rWACC = × rS + × rB ×(1 – TC) S + B S + B Extention of the basic model • The Weighted Average Cost of Capital • It is because interest expense is tax-deductible that we multiply the last term by (1 – TC)
WACC • Example: a firms with a debt-equity ratio of 0.6, a cost of debt of 15.15%, and a cost of equity of 20%. The corporate tax rate is 34%. • Debt to value ratio=6/(10+6)=0.375 • Equity to value ratio=1-0.375=0.625 • rwacc=0.625*20%+0.375*15.15%*(1-0.34) =16.25%
Steps to calculate WACC Cost of equity by using CAPM Cost of debt by calculating yield to maturity of the debt Calculate WACC
Long-term financing: Common stock • Directly contributed capital • Par value • Shares authorized vs. Shares issued • Dedicated capital • Capital surplus • Indirectly contributed capital • Retained earnings • Book value • Market value
S S B B Capital structure • What is the goal of the firm: maximizing V or maximizing S? • Firm value V=B+S
Capital structure: max V vs. max S Change in capital structure benefits shareholders only when the firm value increases.
Financial leverage: an example Consider an all-equity firm that is considering going into debt. (Maybe some of the original shareholders want to cash out.) Current Assets $20,000 Debt $0 Equity $20,000 Debt/Equity ratio 0.00 Interest rate n/a Shares outstanding 400 Share price $50 Proposed $20,000 $8,000 $12,000 2/3 8% 240 $50
EPS and ROE Under Current Capital Structure 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
EPS and ROE Under Proposed Capital Structure 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% 15% ROE 3% 11% 20% Proposed Shares Outstanding = 240 shares
EPS and ROE Under Both Capital Structures All-EquityRecession 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 LeveredRecession 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% 15% ROE 3% 11% 20% Proposed Shares Outstanding = 240 shares
Financial Leverage and EPS 12.00 Debt 10.00 8.00 No Debt Advantage to debt 6.00 Break-even point EPS 4.00 Disadvantage to debt 2.00 0.00 1,000 2,000 3,000 EBIT in dollars, no taxes (2.00)