Chapter 10: The Cost of Capital
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1. “Capital” is sometimes defined as funds supplied to a firm by investors.
a. True
b. False
2. The cost of capital used in capital budgeting should reflect the average cost of the various sources of investor-supplied
funds a firm uses to acquire assets.
a. True
b. False
3. Suppose you are the president of a small, publicly-traded corporation. Since you believe that your firm’s stock price is
temporarily depressed, all additional capital funds required during the current year will be raised using debt. In this case,
the appropriate marginal cost of capital for use in capital budgeting during the current year is the after-tax cost of debt.
a. True
b. False
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b. False
7. The cost of debt is equal to one minus the marginal tax rate multiplied by the interest rate on new debt.
a. True
b. False
8. The cost of preferred stock to a firm must be adjusted to an after-tax figure because 50% of dividends received by a
corporation may be excluded from the receiving corporation’s taxable income.
a. True
b. False
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21. The text identifies three methods for estimating the cost of common stock from retained earnings: the CAPM method,
the DCF method, and the bond-yield-plus-risk-premium method. However, only the CAPM method always provides an
accurate and reliable estimate.
a. True
b. False
22. The text identifies three methods for estimating the cost of common stock from retained earnings: the CAPM method,
the DCF method, and the bond-yield-plus-risk-premium method. Since we cannot be sure that the estimate obtained with
any of these methods is correct, it is often appropriate to use all three methods, then consider all three estimates, and end
up using a judgmental estimate when calculating the WACC.
a. True
b. False
23. When estimating the cost of equity by use of the CAPM, three potential problems are (1) whether to use long-term or
short-term rates for rRF, (2) whether or not the historical beta is the beta that investors use when evaluating the stock, and
(3) how to measure the market risk premium, RPM. These problems leave us unsure of the true value of rs.
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a. True
b. False
24. When estimating the cost of equity by use of the DCF method, the single biggest potential problem is to determine the
growth rate that investors use when they estimate a stock’s expected future rate of return. This problem leaves us unsure of
the true value of rs.
a. True
b. False
25. When estimating the cost of equity by use of the bond-yield-plus-risk-premium method, we can generally get a good
idea of the interest rate on new long-term debt, but we cannot be sure that the risk premium we add is appropriate. This
problem leaves us unsure of the true value of rs.
a. True
b. False
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b. False
30. Firms raise capital at the total corporate level by retaining earnings and by obtaining funds in the capital markets.
They then provide funds to their different divisions for investment in capital projects. The divisions may vary in risk, and
the projects within the divisions may also vary in risk. Therefore, it is conceptually correct to use different risk-adjusted
costs of capital for different capital budgeting projects.
a. True
b. False
31. The cost of debt, rd, is normally less than rs, so rd(1T) will normally be much less than rs. Therefore, as long as the
firm is not completely debt financed, the weighted average cost of capital (WACC) will normally be greater than rd(1 – T).
a. True
b. False
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34. If expectations for long-term inflation rose, but the slope of the SML remained constant, this would have a greater
impact on the required rate of return on equity, rs, than on the interest rate on long-term debt, rd, for most firms.
Therefore, the percentage point increase in the cost of equity would be greater than the increase in the interest rate on
long-term debt.
a. True
b. False
35. If investors’ aversion to risk rose, causing the slope of the SML to increase, this would have a greater impact on the
required rate of return on equity, rs, than on the interest rate on long-term debt, rd, for most firms. Other things held
constant, this would lead to an increase in the use of debt and a decrease in the use of equity. However, other things would
not stay constant if firms used a lot more debt, as that would increase the riskiness of both debt and equity and thus limit
the shift toward debt.
a. True
b. False
36. Which of the following is NOT a capital component when calculating the weighted average cost of capital (WACC)
for use in capital budgeting?
a. Long-term debt.
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b. Accounts payable.
c. Retained earnings.
d. Common stock.
e. Preferred stock.
37. Bankston Corporation forecasts that if all of its existing financial policies are followed, its proposed capital budget
would be so large that it would have to issue new common stock. Since new stock has a higher cost than retained
earnings, Bankston would like to avoid issuing new stock. Which of the following actions would REDUCE its need to
issue new common stock?
a. Increase the dividend payout ratio for the upcoming year.
b. Increase the percentage of debt in the target capital structure.
c. Increase the proposed capital budget.
d. Reduce the amount of short-term bank debt in order to increase the current ratio.
e. Reduce the percentage of debt in the target capital structure.
38. Schalheim Sisters Inc. has always paid out all of its earnings as dividends, hence the firm has no retained earnings.
This same situation is expected to persist in the future. The company uses the CAPM to calculate its cost of equity, its
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target capital structure consists of common stock, preferred stock, and debt. Which of the following events would
REDUCE its WACC?
a. The market risk premium declines.
b. The flotation costs associated with issuing new common stock increase.
c. The company’s beta increases.
d. Expected inflation increases.
e. The flotation costs associated with issuing preferred stock increase.
39. For a typical firm, which of the following sequences is CORRECT? All rates are after taxes, and assume that the firm
operates at its target capital structure.
a. rs > re > rd > WACC.
b. re > rs > WACC > rd.
c. WACC > re > rs > rd.
d. rd > re > rs > WACC.
e. WACC > rd > rs > re.
40. When working with the CAPM, which of the following factors can be determined with the most precision?
a. The market risk premium (RPM).
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b. The beta coefficient, bi, of a relatively safe stock.
c. The most appropriate risk-free rate, rRF.
d. The expected rate of return on the market, rM.
e. The beta coefficient of “the market,” which is the same as the beta of an average stock.
41. Duval Inc. uses only equity capital, and it has two equally-sized divisions. Division A’s cost of capital is 10.0%,
Division B’s cost is 14.0%, and the corporate (composite) WACC is 12.0%. All of Division A’s projects are equally risky,
as are all of Division B’s projects. However, the projects of Division A are less risky than those of Division B. Which of
the following projects should the firm accept?
a. A Division B project with a 13% return.
b. A Division B project with a 12% return.
c. A Division A project with an 11% return.
d. A Division A project with a 9% return.
e. A Division B project with an 11% return.
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42. LaPango Inc. estimates that its average-risk projects have a WACC of 10%, its below-average risk projects have a
WACC of 8%, and its above-average risk projects have a WACC of 12%. Which of the following projects (A, B, and C)
should the company accept?
a. Project B, which is of below-average risk and has a return of 8.5%.
b. Project C, which is of above-average risk and has a return of 11%.
c. Project A, which is of average risk and has a return of 9%.
d. None of the projects should be accepted.
e. All of the projects should be accepted.
43. Norris Enterprises, an all-equity firm, has a beta of 2.0. The chief financial officer is evaluating a project with an
expected return of 14%, before any risk adjustment. The risk-free rate is 5%, and the market risk premium is 4%. The
project being evaluated is riskier than the firm’s average project, in terms of both its beta risk and its total risk. Which of
the following statements is CORRECT?
a. The project should definitely be accepted because its expected return (before any risk adjustments) is greater than
its required return.
b. The project should definitely be rejected because its expected return (before risk adjustment) is less than its
required return.
c. Riskier-than-average projects should have their expected returns increased to reflect their higher risk. Clearly, this
would make the project acceptable regardless of the amount of the adjustment.
d. The accept/reject decision depends on the firm’s risk-adjustment policy. If Norris’ policy is to increase the
required return on a riskier-than-average project to 3% over rs, then it should reject the project.
e. Capital budgeting projects should be evaluated solely on the basis of their total risk. Thus, insufficient
information has been provided to make the accept/reject decision.
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44. The MacMillen Company has equal amounts of low-risk, average-risk, and high-risk projects. The firm’s overall
WACC is 12%. The CFO believes that this is the correct WACC for the company’s average-risk projects, but that a lower
rate should be used for lower-risk projects and a higher rate for higher-risk projects. The CEO disagrees, on the grounds
that even though projects have different risks, the WACC used to evaluate each project should be the same because the
company obtains capital for all projects from the same sources. If the CEO’s position is accepted, what is likely to happen
over time?
a. The company will take on too many high-risk projects and reject too many low-risk projects.
b. The company will take on too many low-risk projects and reject too many high-risk projects.
c. Things will generally even out over time, and, therefore, the firm’s risk should remain constant over time.
d. The company’s overall WACC should decrease over time because its stock price should be increasing.
e. The CEO’s recommendation would maximize the firm’s intrinsic value.
45. If a typical U.S. company correctly estimates its WACC at a given point in time and then uses that same cost of capital
to evaluate all projects for the next 10 years, then the firm will most likely
a. become riskier over time, but its intrinsic value will be maximized.
b. become less risky over time, and this will maximize its intrinsic value.
c. accept too many low-risk projects and too few high-risk projects.
d. become more risky and also have an increasing WACC. Its intrinsic value will not be maximized.
e. continue as before, because there is no reason to expect its risk position or value to change over time as a result of
its use of a single cost of capital.