Chapter 13: Risk, cost of capital, and capital budgeting

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Chapter 13: Risk, cost of capital, and capital budgeting Corporate Finance Ross, Westerfield, and Jaffe

Outline 1. The CAPM and the cost of equity 2. The cost of capital 3. Reducing the cost of capital

The cost of equity In Chapter 11, we learned that the CAPM provides an estimate of the required (expected) return from stock market (equity) investors’ perspective. We learned that this required return can be used to estimate the cost of equity. The cost of equity is a positive function of beta.

Beta estimate, I In Chapter 11, we also learned that we can estimate the beta of a firm by regressing the excess returns (the difference between the stock’s returns and the risk-free rates) of the firm on the excess returns of a market index, such as the S&P 500 Index. The slope term is the firm’s beta estimate. We usually use most recent 60 monthly returns for this estimation. Of course, we can find the beta estimate from many internet sites as well, e.g., finance.yahoo.com.

Beta estimate, II The word “estimate” of course says something about the uncertain nature of the beta estimate; it is subject to estimation error. As a result, some practitioners like to use the industry’s average beta as a proxy for the firm’s beta as well, even though the firm’s beta can be directly estimated. If you believe the operations of the firm are similar to the operations of the rest of the industry, it is a good idea to use the industry’s average beta to reduce estimation error. If not, then use the firm’s beta estimate for calculating the cost of equity.

Cost of capital For corporate capital budgeting purpose, we often discount a project’s free cash flows (to the firm) by its cost of capital. Free cash flows (FCFs): the cash flows available to the firm’s suppliers of capital, including debt and equity, after all operating expenses (including taxes) have been paid and investments in working capital and fixed assets have been made. Firm = debt + equity.

WACC, I Because FCFs are available to debt-holders and equity-holders, the applicable discount rate needs to be an aggregate of the cost of debt and the cost of equity. The most popular choice of this applicable discount rate is called WACC (weighted average cost of capital). WACC is a function of the cost of debt and the cost of equity.

WACC, II WACC = we × re + wd × rd × (1 – corporate tax rate). re is the cost of equity (via the CAPM or other pricing models). rd is the cost of debt; if the firm uses corporate bonds to finance all of its long-term debt, we can use YTM as an estimate of the cost of debt.

WACC, III we is the capital structure weight of equity. wd is the capital structure weight of debt. E is the market value of equity; D is the market value of debt. we = E / (E + D), and wd = D / (E + D).

Weighted cost of debt, I A corporation may have multiple issues of bonds outstanding. rd is often the weighted average of YTMs of many issues. The weights can be market value weights or book value weights.

Weighted cost of debt, II Example: DEF Inc. has 2 issues of bonds outstanding. Bond A has a book value of 100 million, market value of 120 million, and a YTM of 5%. Bond B has a book value of 200 million, market value of 180 million, and a YTM of 5.5%. Book value weight: rd = [100/(100+200)] * 5% + [200/(100+200)] *5.5% = 5.34%. Market value weight: rd = [120/(120+180)] * 5% + [180/(120+180)] *5.5% = 5.30%.

WACC example The market capitalization of EMN is $3.947 billion. EMN use corporate bonds as the main source of L-T debt. The market value of bonds is $1.519 billion. The weighted average of YTMs is 6.2%. The beta of EMN is 0.8. The risk-free rate is 4.26%. The expected market premium is 8.7%. The corporate tax rate is 35%. re = 4.26% + 0.8 × 8.7% = 11.22%. we = 3.947 / (3.947 + 1.519) = 72%. wd = 28%. WACC = 0.72 × 11.22% + 0.28 × 6.2% × (1 – 0.35) = 9.21%.

WACC estimates on the web www.valuepro.net.

Mini-case report due (cancelled) Please submit your report for mini-case: The Cost of Capital for Goff Computer, Inc., pp. 426-427, in 1 week. Work on problems 1, 2, 4 (using only market value weights), and 5 (using only market value weights).

End-of-chapter Concept questions: 1-10. Questions and problems: 1-15 (excluding book-weight (sub-)problems).