# BH Chapter 9 The Cost of Capital

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1 1 Capital Budgeting Overview Capital Budgeting is the set of valuation techniques for real asset investment decisions. Capital Budgeting Steps estimating expected future cash flows for the proposed real asset investment (BH Chap 11) estimating the firm s cost of capital (BH Chap 9) based on the firm s optimal capital structure using a decision-making valuation technique which depends on the company s cost of capital to decide whether to accept or reject the proposed investment (BH Chap 10) 1 BH Chapter 9 The Cost of Capital Estimating Home Depot s Cost of Capital Air Jordan s Divisional Cost of Capital 2 Chapter 9 Learning Objectives Describe the concepts underlying the firm s cost of capital (known as weighted average cost of capital) and the purpose for its calculation. Calculate the after-tax cost of debt, preferred stock and common equity. Calculate a firm s weighted average cost of capital. Adjust the firm s cost of capital on a by division or by project basis. Use the cost of capital to evaluate new investment opportunities. 3

2 2 Cost of Capital The firm s cost of raising new funds The weighted average of the cost of individual types of funding One possible decision rule is to compare a project s expected return to the cost of the funds that would be used to finance the purchase of the project Accept if : project s expected return > cost of capital 4 Cost of Capital Terms Capital Component = type of financing such as debt, preferred stock, and common equity k d = cost of new debt, before tax k d (1-T) = after-tax component cost of debt k p = component cost of new preferred stock k s = component cost of retained earnings(or internal equity, same as r and E(R) used in Chapters 5 and 7 of Megginson & Smart 5 More Cost of Capital Terms k e = component stock of external equity raised through selling new common stock WACC = w d k d (1-T) + w p k p + w c k s = the weighted average cost ot capital which is the weighted average of the individual component costs of capital w i = the fraction of capital component i used in the firm s capital structure 6

3 3 Component Cost of Debt Remember, a corporation can deduct their interest expense for tax purposes Therefore, the component cost of debt is the after-tax interest rate on new debt k d (1-T) where T is the company s marginal tax rate k d can be estimated by finding the YTM on the company s existing bonds 7 Cost of Debt Example We want to estimate the cost of debt for Home Depot which has a marginal tax rate of 35%. Let s assume Home Depot would issue 20-year bonds, and we find the following bond quote. CoName Rate Mat. Date Close HomeDep 6.45 Oct. 15, Annual coupon rate = 6.45%, n = 20 years, Price = % of par value, Semiannual coupons 8 Find YTM Home Depot s cost of debt \$1000 par value, semi-annual coupons 9

4 4 Cost of Preferred Stock, k ps Cost of new preferred stock k p = D p / P p D p = annual preferred stock dividend P p = price per share from sale of preferred stock Preferred Stock Characteristics Par Value, Annual Dividend Rate(% of Par) generally: no voting rights; must be paid dividends before common dividends can be paid 10 Cost of Preferred Stock Example Home Depot wants to sell new preferred stock. The par value will be \$25 a share and Home Depot decides they will pay an annual dividend yield of 8%. Home Depot s advisors say the stock will sell for a price of \$26 if the dividend yield is 8%. What is the cost of this new preferred stock? 11 Cost of Retained Earnings, k s 3 different approaches can be used to estimate the cost of retained earnings, but I hate the Bond Yield Plus Risk Premium Approach. So, ignore it. The 2 remaining approaches assume that the company s stock price is in equilibrium. 12

5 5 The CAPM Approach to the Cost of Retained Earnings The CAPM Approach: is the required rate of return from M&S Chapter 7. k s = k RF + (k M -k RF )b i Example: The risk free rate is 3.7%, and the expected market return is 12%. What would Home Depot s CAPM cost of retained earnings be if its beta is Discounted Cash Flow Approach for the Cost of Retained Earnings The expected return formula derived from the constant growth stock valuation model. k s = D 1 / P 0 + g = D 0 (1+g)/P 0 + g In practice: The tough part is estimating g. Security analysts projections of g can be used. According to the journal, Financial Management, these projections are a good source for growth rate estimates. 14 DCF estimate for the Cost of Retained Earnings for Home Depot Recent Stock Price (P 0 ): \$38.16 Current Dividend (D 0 ): \$0.40 According to Value Line Investment Survey, earnings are expected to grow by 12%, and their dividend growth estimate is 14.5%. What to do? Average the rates? Why not. Our growth estimate(g): 13.2% 15

6 6 Difference in k s for Home Depot between the two approaches. CAPM estimate for cost of RE: 14.1% DCF estimate for cost of RE: 14.4% Although I m not upset with this slight difference, why are they different? Our estimates. For CAPM, maybe our market risk premium is too low. Who knows about our g estimate for Home Depot. Let s explore this a little further. 16 Other growth rate projections for Home Depot Other growth rate estimates (revenues, dividends, cash flow, book value) might be used. A g estimate method suggested by the text: g = (Retention rate)(expected ROE) = (1 - dividend payout ratio)(exp. ROE) Expected ROE and dividend payout for 2006 for Home Depot according to Value Line: 19.5% and 16%. g = (1-0.16)(19.5%) = 16.4%, DCF k 17 s = 17.6% Arrgh!! Still over shot the CAPM by quite a bit What to do about the different cost of retained earnings estimates? CAPM: 14.1% DCF: 14.4% Average the two or choose one or the other? Choosing DCF estimate makes for an easier cost of new common stock (external equity) estimate. However, if you wanted to be conservative, go with the higher estimate. Aggressive, go with lower estimate Since there isn t much difference, let s go with the slightly higher DCF of 14.4% for k s. 18

7 7 Adjusting for flotation costs of new security issues. Include flotation costs for funds raised for a project as an additional initial cost of the project. OR adjust the component cost of capital. For example, for selling new common & preferred stock. k e = D 1 / P 0 (1 - F) + g; k p = D/P 0 (1 - F) where F = flotation(underwriting) cost % P 0 (1 - F) is the net price per share the company actually receives from selling new stock 19 Home Depot s estimated cost of newly issued common equity, k e Let s go back to our original DCF estimates: P 0 : \$38.16, D 0 : \$0.40, g = 13.2% Assume new stock can be sold at the current market price and Home Depot will incur a 15% floatation cost per share. k e = [\$0.40(1.132)/\$38.16(1-0.15)] % = 14.6% DCF k s = 14.4%. Difference = 0.2% So, if you want to use the CAPM estimate for k s, then your k e estimate would be 14.1% +0.2% = 14.3% 20 Flotation costs Flotation costs depend on the risk of the firm and the type of capital being raised. The flotation costs are highest for common equity. However, since most firms issue equity infrequently, the per-project cost is fairly small. We will frequently ignore flotation costs when calculating the WACC. 21

8 8 Weighted Average Cost of Capital, WACC WACC = w d k d (1-T) + w p k p + w ce k s w i = the fraction of capital component i used in the firm s capital structure What is Home Depot s WACC if their market value target capital structure is 15% debt, 5% preferred stock, and 80% common equity financing through retained earnings? 22 Home Depot s Weighted Average Cost of Capital, WACC Recall our previous estimates for Home Depot k d (1-T) = 3.4%, k p = 7.7%, k s = 14.4% w d = 15% or 0.15, w ps = 5% or 0.05, w c = 80% or What factors influence a company s composite WACC? Market conditions. The firm s capital structure and dividend policy. The firm s investment policy. Firms with riskier projects generally have a higher WACC. 24

9 9 Some Problems in estimating Cost of Capital Small firms without dividends: DCF approach is out. Firms that aren t publicly traded: no beta data, CAPM approach is difficult. What about depreciation? Large source of funds. Cost of depreciation funds = WACC with RE. WACC is just for average risk projects. 25 Adjusting for project risk The WACC is for average risk projects. A company should adjust their WACC upward for more risky projects and downward for less risky projects = project s Risk- Adjusted Cost of Capital. A company can also make this adjustment on a divisional basis as well. 26 Estimating Project Risk Stand-alone risk = measured by the variability of the project s expected returns. Corporate, or Within Firm, Risk = measured by the project s impact on uncertainty about the firm s future earnings. Market, or Beta, Risk = measured by the project s impact on the firm s beta coefficient. 27

10 10 Using the CAPM for Riskadjusted Cost of Capital Can use this model to estimate a project cost of capital, k P k P = k RF + (k M -k RF )b P where b P is the project s beta Note: investing in projects that have more or less beta (or market) risk than average will change the firm s overall beta and required return. 28 Jordan Air Inc.: a Divisional Cost of Capital Example Jordan Air is a sporting goods apparel company which has recently divested itself from the sports franchise ownership business. Jordan Air is starting a golf equipment division to go along with its sports apparel division. The company uses only debt and common equity financing and thinks they should use different cost of capital for each division. 29 Jordan Air Inc.: a Divisional Cost of Capital Example The company has a 40% tax rate and uses the CAPM method for estimating the cost of equity. Apparel Division: 35% debt and 65% equity financing. Before-tax cost of debt is 8%. Beta = 1.2. Golf Division: 40% debt and 60% equity financing. Before-tax cost of debt 8.5%. Estimated beta = to Callaway Golf s beta of

11 11 Jordan Air s Apparel Division s Cost of Capital Calculation The company has a 40% tax rate and uses the CAPM method for estimating the cost of equity with Krf = 4.5%, Km = 11%. Apparel Division: 35% debt and 65% equity financing. Before-tax cost of debt is 8%. Beta = Jordan Air s Golf Division s Cost of Capital Calculation The company has a 40% tax rate and uses the CAPM method for estimating the cost of equity with Krf = 4.5%, Km = 11%. Golf Division: 40% debt and 60% equity financing. Before-tax cost of debt 8.5%. Estimated beta = to Callaway Golf s beta of Risk and the Cost of Capital Rate of Return (%) Acceptance Reg ion WACC 12.0 H A B Rejection Region 8.0 L 0 RiskL RiskA RiskH Risk 33

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