Exam 9: Risk and the Cost of Capital

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A firm might categorize its projects into I.cost improvements; II.expansion projects (existing business); III.new products; IV.speculative ventures

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In general, one should use higher discount rates for longer-term projects.

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Companies with high ratios of fixed costs to project values tend to have high betas.

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The cost of capital for a project depends on

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Portfolio betas for an industry are usually higher than the average betas of individual stocks in that same industry.

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If a firm uses a project-specific cost of capital for evaluating all projects, which situation(s)will likely occur? I.The firm will accept poor low-risk projects. II.The firm will reject good high-risk projects. III.The firm will correctly accept projects with average risk.

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Briefly discuss the risk-adjusted discount rate approach to estimating the NPV of a project.

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For firms with relatively high levels of debt, the company cost of capital is the cost of equity of the firm.

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Which of the following types of projects has the lowest unique risk?

(Multiple Choice)
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The market portfolio's historical returns for the past three years were 10 percent, 10 percent, and 16 percent. Suppose the risk-free rate of return is 4 percent. Estimate the market risk premium.

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The historical returns for the past three years for Stock B and the stock market portfolio were Stock B: 24 percent, 0 percent, 24 percent; market portfolio: 10 percent, 12 percent, 20 percent. Calculate the observed covariance of returns between Stock B and the market portfolio. (Ignore the correction for the loss of a degree of freedom set out in the text.)

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One calculates the weighted average cost of capital (WACC), on an after-tax basis, as WACC = (rD)(1 − TC )(D/V)+ (rE)(E/V), where V = D + E.

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The market value of Charter Cruise Company's equity is $15 million and the market value of its debt is $5 million. If the required rate of return on the equity is 20 percent and that on its debt is 8 percent, calculate the company's cost of capital. (Assume no taxes.)

(Multiple Choice)
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The market value of Charcoal Corporation's common stock is $20 million, and the market value of its risk-free debt is $5 million. The beta of the company's common stock is 1.25, and the market risk premium is 8 percent. If the Treasury bill rate is 5 percent, what is the company's cost of capital? (Assume no taxes.)

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A sensible way for a manager to account for overoptimistic cash-flow forecasts is to adjust the discount rate.

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The company cost of capital is the correct discount rate only for investments that have the same risk as the company's overall business.

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An analyst computes a beta coefficient with a low standard error. This implies that

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The market value of Cable Company's equity is $60 million and the market value of its debt is $40 million. If the required rate of return on the equity is 15 percent and that on its debt is 5 percent, calculate the company's cost of capital. (Assume no taxes.)

(Multiple Choice)
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The historical returns for the past three years for Stock B and the stock market portfolio are Stock B: 24 percent, 0 percent, 24 percent; market portfolio: 10 percent, 12 percent, 20 percent. If the risk-free rate is 4 percent, calculate the market risk premium.

(Multiple Choice)
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If one uses a long-term risk-free rate for the CAPM instead of a short-term risk-free rate, then one will generate a flatter security market line.

(True/False)
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