Chapter 10: The Cost of Capital
1. “Capital” is sometimes defined as funds supplied to a firm by investors.
a.
True
b.
False
True
EASY
10-1 An Overview of the Weighted Average Cost of Capital (WACC)
Capital
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
True
EASY
10-1 An Overview of the Weighted Average Cost of Capital (WACC)
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
False
EASY
10-1 An Overview of the Weighted Average Cost of Capital (WACC)
Chapter 10: The Cost of Capital
4. The component costs of capital are market-determined variables in the sense that they are based on investors’ required
returns.
a.
True
b.
False
True
EASY
10-2 Basic Definitions
5. The before-tax cost of debt, which is lower than the after-tax cost, is used as the component cost of debt for purposes of
developing the firm’s WACC.
a.
True
b.
False
False
EASY
6. The cost of debt is equal to one minus the marginal tax rate multiplied by the average coupon rate on all outstanding
debt.
a.
True
b.
False
False
EASY
Chapter 10: The Cost of Capital
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
True
EASY
8. The cost of preferred stock to a firm must be adjusted to an after-tax figure because 70% of dividends received by a
corporation may be excluded from the receiving corporation’s taxable income.
a.
True
b.
False
False
EASY
10-4 Cost of Preferred Stock, rp
9. The cost of perpetual preferred stock is found as the preferred’s annual dividend divided by the market price of the
preferred stock. No adjustment is needed for taxes because preferred dividends, unlike interest on debt, are not deductible
by the issuing firm.
a.
True
b.
False
True
EASY
Chapter 10: The Cost of Capital
10. The cost of common equity obtained by retaining earnings is the rate of return the marginal stockholder requires on
the firm’s common stock.
a.
True
b.
False
True
EASY
10-5 The Cost of Retained Earnings, rs
True / False
FOFM.BRIG.17.10.05 – The Cost of Retained Earnings, rs
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Cost of common
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11. For capital budgeting and cost of capital purposes, the firm should always consider retained earnings as the first source
of capital (i.e., use these funds first) because retained earnings have no cost to the firm.
a.
True
b.
False
False
EASY
10-5 The Cost of Retained Earnings, rs
True / False
FOFM.BRIG.17.10.05 – The Cost of Retained Earnings, rs
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Cost of retained earnings
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12. Funds acquired by the firm through retaining earnings have no cost because there are no dividend or interest payments
associated with them, and no flotation costs are required to raise them, but capital raised by selling new stock or bonds
does have a cost.
10-4 Cost of Preferred Stock, rp
True / False
FOFM.BRIG.17.10.04 – Cost of Preferred Stock, rp
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Cost of preferred
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Chapter 10: The Cost of Capital
a.
True
b.
False
False
EASY
10-5 The Cost of Retained Earnings, rs
13. The cost of equity raised by retaining earnings can be less than, equal to, or greater than the cost of external equity
raised by selling new issues of common stock, depending on tax rates, flotation costs, the attitude of investors, and other
factors.
a.
True
b.
False
False
EASY
10-5 The Cost of Retained Earnings, rs
14. The firm’s cost of external equity raised by issuing new stock is the same as the required rate of return on the firm’s
outstanding common stock.
a.
True
b.
False
False
EASY
10-6 Cost of New Common Stock, re
Chapter 10: The Cost of Capital
15. For capital budgeting and cost of capital purposes, the firm should assume that each dollar of capital is obtained in
accordance with its target capital structure, which for many firms means partly as debt, partly as preferred stock, and
partly common equity.
a.
True
b.
False
True
EASY
10-7 Composite, or Weighted Average, Cost of Capital, WACC
WACC
16. The higher the firm’s flotation cost for new common equity, the more likely the firm is to use preferred stock, which
has no flotation cost, and retained earnings, whose cost is the average return on the assets that are acquired.
a.
True
b.
False
False
EASY
Comprehensive
17. In general, firms should use their weighted average cost of capital (WACC) to evaluate capital budgeting projects
because most projects are funded with general corporate funds, which come from a variety of sources. However, if the
firm plans to use only debt or only equity to fund a particular project, it should use the after-tax cost of that specific type
of capital to evaluate that project.
a.
True
b.
False
Chapter 10: The Cost of Capital
18. If a firm’s marginal tax rate is increased, this would, other things held constant, lower the cost of debt used to calculate
its WACC.
a.
True
b.
False
True
MODERATE
19. The reason why retained earnings have a cost equal to rs is because investors think they can (i.e., expect to) earn rs on
investments with the same risk as the firm’s common stock, and if the firm does not think that it can earn rs on the
earnings that it retains, it should pay those earnings out to its investors. Thus, the cost of retained earnings is based on the
opportunity cost principle.
a.
True
b.
False
True
MODERATE
10-5 The Cost of Retained Earnings, rs
MODERATE
10-1 An Overview of the Weighted Average Cost of Capital (WACC)
Chapter 10: The Cost of Capital
20. 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 DCF method is widely used in
practice.
a.
True
b.
False
False
MODERATE
10-5 The Cost of Retained Earnings, rs
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
Chapter 10: The Cost of Capital
b.
False
True
MODERATE
10-5 The Cost of Retained Earnings, rs
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.
a.
True
b.
False
True
MODERATE
10-5 The Cost of Retained Earnings, rs
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
True
MODERATE
10-5 The Cost of Retained Earnings, rs
Chapter 10: The Cost of Capital
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
True
MODERATE
10-5 The Cost of Retained Earnings, rs
26. If a firm is privately owned, and its stock is not traded in public markets, then we cannot measure its beta for use in
the CAPM model, we cannot observe its stock price for use in the DCF model, and we don’t know what the risk premium
is for use in the bond-yield-plus-risk-premium method. All this makes it especially difficult to estimate the cost of equity
for a private company.
a.
True
b.
False
27. The cost of external equity capital raised by issuing new common stock (re) is defined as follows, in words: “The cost
Chapter 10: The Cost of Capital
of external equity equals the cost of equity capital from retaining earnings (rs), divided by one minus the percentage
flotation cost required to sell the new stock, (1 – F).”
a.
True
b.
False
28. If the expected dividend growth rate is zero, then the cost of external equity capital raised by issuing new common
stock (re) is equal to the cost of equity capital from retaining earnings (rs) divided by one minus the percentage flotation
cost required to sell the new stock, (1 – F). If the expected growth rate is not zero, then the cost of external equity must be
found using a different formula.
a.
True
b.
False
Chapter 10: The Cost of Capital
29. Suppose the debt ratio is 50%, the interest rate on new debt is 8%, the current cost of equity is 16%, and the tax rate is
40%. An increase in the debt ratio to 60% would have to decrease the weighted average cost of capital (WACC).
a.
True
b.
False
False
MODERATE
10-8 Factors That Affect the WACC
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
True
MODERATE
10-9 Adjusting the Cost of Capital for Risk
31. The cost of debt, rd, is normally less than rs, so rd(1 – T) 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
True
Chapter 10: The Cost of Capital
32. The lower the firm’s tax rate, the lower will be its after-tax cost of debt and also its WACC, other things held constant.
a.
True
b.
False
False
MODERATE
Comprehensive
33. Since 70% of the preferred dividends received by a corporation are excluded from taxable income, the component cost
of equity for a company that pays half of its earnings out as common dividends and half as preferred dividends should,
theoretically, be
Cost of equity = rs(0.30)(0.50) + rps(1 – T)(0.70)(0.50).
a.
True
b.
False
MODERATE
Comprehensive
WACC
Chapter 10: The Cost of Capital
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
True
MODERATE
Comprehensive
True / False
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Inflation effects
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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.
b.
Accounts payable.
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Chapter 10: The Cost of Capital
c.
Retained earnings.
d.
Common stock.
e.
Preferred stock.
10-2 Basic Definitions
Multiple Choice
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Capital components
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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
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.
Chapter 10: The Cost of Capital
d.
Expected inflation increases.
e.
The flotation costs associated with issuing preferred stock increase.
10-8 Factors That Affect the WACC
Multiple Choice
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Factors affecting WACC
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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.
Multiple Choice
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Capital components
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40. When working with the CAPM, which of the following factors can be determined with the most precision?
a.
The market risk premium (RPM).
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.
Chapter 10: The Cost of Capital
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.
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.
10-5 The Cost of Retained Earnings, rs
Multiple Choice
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Cost of equity: CAPM
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Chapter 10: The Cost of Capital
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.
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
Project B has a return greater than its risk-adjusted cost of capital, so it should be accepted.
Multiple Choice
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Risk and projects
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Chapter 10: The Cost of Capital
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.
Chapter 10: The Cost of Capital
46. Which of the following statements is CORRECT?
a.
When calculating the cost of preferred stock, a company needs to adjust for taxes, because preferred stock
dividends are deductible by the paying corporation.
b.
All else equal, an increase in a company’s stock price will increase its marginal cost of retained earnings, rs.
c.
All else equal, an increase in a company’s stock price will increase its marginal cost of new common equity,
re.
d.
Since the money is readily available, the after-tax cost of retained earnings is usually much lower than the
after-tax cost of debt.
e.
If a company’s tax rate increases but the YTM on its noncallable bonds remains the same, the after-tax cost of
its debt will fall.
47. Which of the following statements is CORRECT?
a.
When calculating the cost of debt, a company needs to adjust for taxes, because interest payments are
deductible by the paying corporation.
b.
When calculating the cost of preferred stock, companies must adjust for taxes, because dividends paid on
preferred stock are deductible by the paying corporation.
c.
Because of tax effects, an increase in the risk-free rate will have a greater effect on the after-tax cost of debt
than on the cost of common stock as measured by the CAPM.
d.
If a company’s beta increases, this will increase the cost of equity used to calculate the WACC, but only if the
company does not have enough retained earnings to take care of its equity financing and hence must issue new
stock.
e.
Higher flotation costs reduce investors’ expected returns, and that leads to a reduction in a company’s WACC.
Risk-adjusted capital cost
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