1. 15-1 Chapter 15 Required Returns and the Cost of Capital © Pearson Education Limited 2004 Fundamentals of Financial Management, 12/e Created by: Gregory A. Kuhlemeyer, Ph.D. Carroll College, Waukesha, WI

2. 15-2 Overall Cost of Capital of the Firm Cost of Capital is the required rate of return on the various types of financing. The overall cost of capital is a weighted average of the individual required rates of return (costs).

3. 15-3 Type of Financing Mkt ValWeight Long-Term Debt $ 35M 35% Preferred Stock$ 15M 15% Common Stock Equity $ 50M 50% $ 100M 100% Market Value of Long-Term Financing

4. 15-4 Cost of Debt Cost of Debt is the required rate of return on investment of the lenders of a company. k i = k d ( 1 - T ) Cost of Debt P 0 = I j + P j (1 + k d ) j  n j =1

5. 15-5 Assume that Basket Wonders (BW) has $1,000 par value zero-coupon bonds outstanding. BW bonds are currently trading at $385.54 with 10 years to maturity. BW tax bracket is 40%. Determination of the Cost of Debt $385.54 = $0 + $1,000 (1 + k d ) 10

6. 15-6 (1 + k d ) 10 = $1,000 / $385.54 = 2.5938 (1 + k d )= (2.5938) (1/10) = 1.1 k d =.1 or 10% k i = 10% ( 1 -.40 ) k i 6% k i = 6% Determination of the Cost of Debt

7. 15-7 Cost of Preferred Stock Cost of Preferred Stock is the required rate of return on investment of the preferred shareholders of the company. k P = D P / P 0 Cost of Preferred Stock

8. 15-8 Assume that Basket Wonders (BW) has preferred stock outstanding with par value of $100, dividend per share of $6.30, and a current market value of $70 per share. k P = $6.30 / $70 k P 9% k P = 9% Determination of the Cost of Preferred Stock

9. 15-9 u Dividend Discount Model u Capital-Asset Pricing Model u Before-Tax Cost of Debt plus Risk Premium Cost of Equity Approaches

10. 15-10 Dividend Discount Model cost of equity capital The cost of equity capital, k e, is the discount rate that equates the present value of all expected future dividends with the current market price of the stock. D 1 D 2 D (1+k e ) 1 (1+k e ) 2 (1+k e ) +... ++ P 0 =  

11. 15-11 Constant Growth Model constant dividend growth assumption The constant dividend growth assumption reduces the model to: k e = ( D 1 / P 0 ) + g Assumes that dividends will grow at the constant rate “g” forever.

12. 15-12 Assume that Basket Wonders (BW) has common stock outstanding with a current market value of $64.80 per share, current dividend of $3 per share, and a dividend growth rate of 8% forever. k e = ( D 1 / P 0 ) + g k e = ($3(1.08) / $64.80) +.08 k e.1313% k e =.05 +.08 =.13 or 13% Determination of the Cost of Equity Capital

13. 15-13 Capital Asset Pricing Model The cost of equity capital, k e, is equated to the required rate of return in market equilibrium. The risk-return relationship is described by the Security Market Line (SML). k e = R j = R f + (R m - R f )  j

14. 15-14 Assume that Basket Wonders (BW) has a company beta of 1.25. Research by Julie Miller suggests that the risk-free rate is 4% and the expected return on the market is 11.2% k e = R f + (R m - R f )  j = 4% + (11.2% - 4%)1.25 k e 13% k e = 4% + 9% = 13% Determination of the Cost of Equity (CAPM)

15. 15-15 Before-Tax Cost of Debt Plus Risk Premium The cost of equity capital, k e, is the sum of the before-tax cost of debt and a risk premium in expected return for common stock over debt. k e = k d + Risk Premium* * Risk premium is not the same as CAPM risk premium

16. 15-16 Assume that Basket Wonders (BW) typically adds a 3% premium to the before-tax cost of debt. k e = k d + Risk Premium = 10% + 3% k e 13% k e = 13% Determination of the Cost of Equity (k d + R.P.)

17. 15-17 13% Constant Growth Model13% 13% Capital Asset Pricing Model13% 13% Cost of Debt + Risk Premium13% Generally, the three methods will not agree. Comparison of the Cost of Equity Methods

18. 15-18 Cost of Capital = k x (W x ) WACC =.35(6%) +.15(9%) +.50(13%) WACC =.021 +.0135 +.065 =.0995 or 9.95% Weighted Average Cost of Capital (WACC)  n x=1

19. 15-19 1.Weighting System u Marginal Capital Costs u Capital Raised in Different Proportions than WACC Limitations of the WACC

20. 15-20 2.Flotation Costs 2.Flotation Costs are the costs associated with issuing securities such as underwriting, legal, listing, and printing fees. a.Adjustment to Initial Outlay b.Adjustment to Discount Rate Limitations of the WACC

21. 15-21 u A measure of business performance. u It is another way of measuring that firms are earning returns on their invested capital that exceed their cost of capital. u Specific measure developed by Stern Stewart and Company in late 1980s. Economic Value Added

22. 15-22 EVA = NOPAT – [Cost of Capital x Capital Employed] u Since a cost is charged for equity capital also, a positive EVA generally indicates shareholder value is being created. u Based on Economic NOT Accounting Profit. u NOPAT – net operating profit after tax is a company’s potential after-tax profit if it was all- equity-financed or “unlevered.” Economic Value Added

23. 15-23 Add Flotation Costs (FC) to the Initial Cash Outlay (ICO). Reduces Impact: Reduces the NPV Adjustment to Initial Outlay (AIO) NPV =  n t=1 CF t (1 + k) t - ( ICO + FC )

24. 15-24 Subtract Flotation Costs from the proceeds (price) of the security and recalculate yield figures. Increases Impact: Increases the cost for any capital component with flotation costs. decreases Result: Increases the WACC, which decreases the NPV. Adjustment to Discount Rate (ADR)