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A firm's business risk is largely determined by the financial characteristics of its industry, especially by the amount of debt the average firm in the industry uses.

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As the text indicates, a firm's financial risk can and should be divided into separate market and diversifiable risk components.

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Dyson Inc. currently finances with 20.0% debt (i.e., wd = 20%) Risk-free rate, rRF 5.00% Tax rate, T 40% Market risk premium, RPM 6.00% Current wd 20% Current beta, bL1 1.15 Target wd 60%


A) 4.05%
B) 4.50%
C) 4.95%
D) 5.45%
E) 5.99%

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Companies HD and LD have identical tax rates, total assets, total investor-supplied capital, and returns on investors' capital (ROIC) , and their ROICs exceed their after-tax costs of debt, rd(1 - T) . However, Company HD has a higher debt ratio and thus more interest expense than Company LD. Which of the following statements is CORRECT?


A) Company HD has a higher net income than Company LD.
B) Company HD has a lower ROA than Company LD.
C) Company HD has a lower ROE than Company LD.
D) The two companies have the same ROA.
E) The two companies have the same ROE.

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According to Modigliani and Miller (MM), in a world without taxes the optimal capital structure for a firm is approximately 100% debt financing.

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Different borrowers have different risks of bankruptcy, and if a borrower goes bankrupt, its lenders will probably not get back the full amount of funds that they loaned. Therefore, lenders charge higher rates to borrowers judged to be more likely to go bankrupt.

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Financial risk refers to the extra risk borne by stockholders as a result of a firm's use of debt as compared with their risk if the firm had used no debt.

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The firm's target capital structure should do which of the following?


A) Maximize the earnings per share (EPS) .
B) Minimize the cost of debt (rd) .
C) Obtain the highest possible bond rating.
D) Minimize the cost of equity (rs) .
E) Minimize the weighted average cost of capital (WACC) .

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A group of venture investors is considering putting money into Lemma Books, which wants to produce a new reader for electronic books. The variable cost per unit is estimated at $250, the sales price would be set at twice the VC/unit, or $500, and fixed costs are estimated at $750,000. The investors will put up the funds if the project is likely to have an operating income of $500,000 or more. What sales volume would be required in order to meet the minimum profit goal? (Hint: Use the break-even formula, but include the required profit in the numerator.)


A) 4,513
B) 4,750
C) 5,000
D) 5,250
E) 5,513

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A firm's treasurer likes to be in a position to raise funds to support operations whenever such funds are needed, even in "bad times." This is called "financial flexibility," and the lower the firm's debt ratio, the greater its financial flexibility, other things held constant.

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Your firm is currently 100% equity financed. The CFO is considering a recapitalization plan under which the firm would issue long-term debt with an after-tax yield of 9% and use the proceeds to repurchase some of its common stock. The recapitalization would not change the company's total investor-supplied capital, the size of the firm (i.e., total assets) , and it would not affect the firm's return on investors' capital (ROIC) , which is 15%. The CFO believes that this recapitalization would reduce the firm's WACC and increase its stock price. Which of the following would be likely to occur if the company goes ahead with the recapitalization plan?


A) The company's net income would increase.
B) The company's earnings per share would decline.
C) The company's cost of equity would increase.
D) The company's ROA would increase.
E) The company's ROE would decline.

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Companies HD and LD have identical amounts of assets, investor-supplied capital, operating income (EBIT) , tax rates, and business risk. Company HD, however, has a higher debt ratio than LD. Company HD's return on investors' capital (ROIC) exceeds its after-tax cost of debt, rd(1 - T) . Which of the following statements is CORRECT?


A) Company HD has a higher return on assets (ROA) than Company LD.
B) Company HD has a higher times interest earned (TIE) ratio than Company LD.
C) Company HD has a higher return on equity (ROE) than Company LD, and its risk as measured by the standard deviation of ROE is also higher than LD's.
D) The two companies have the same ROE.
E) Company HD's ROE would be higher if it had no debt.

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Longstreet Inc. has fixed operating costs of $470,000, variable costs of $2.80 per unit produced, and its product sells for $4.00 per unit. What is the company's break-even point, i.e., at what unit sales volume would income equal costs?


A) 391,667
B) 411,250
C) 431,813
D) 453,403
E) 476,073

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Firms U and L each have the same amount of assets, investor-supplied capital, and both have a return on investors' capital (ROIC) of 12%. Firm U is unleveraged, i.e., it is 100% equity financed, while Firm L is financed with 50% debt and 50% equity. Firm L's debt has an after-tax cost of 8%. Both firms have positive net income and a 35% tax rate. Which of the following statements is CORRECT?


A) The two companies have the same times interest earned (TIE) ratio.
B) Firm L has a lower ROA than Firm U.
C) Firm L has a lower ROE than Firm U.
D) Firm L has the higher times interest earned (TIE) ratio.
E) Firm L has a higher EBIT than Firm U.

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Provided a firm does not use an extreme amount of debt, operating leverage typically affects only EPS, while financial leverage affects both EPS and EBIT.

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Modigliani and Miller's first article led to the conclusion that capital structure is extremely important, and that every firm has an optimal capital structure that maximizes its value and minimizes its cost of capital.

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In a world with no taxes, Modigliani and Miller (MM) show that a firm's capital structure does not affect its value. However, when taxes are considered, MM show a positive relationship between debt and value, i.e., the firm's value rises as it uses more and more debt, other things held constant.

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An increase in the debt ratio will generally have no effect on which of these items?


A) Business risk.
B) Total risk.
C) Financial risk.
D) Market risk.
E) The firm's beta.

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Which of the following statements is CORRECT?


A) Since debt financing raises the firm's financial risk, increasing the target debt ratio will always increase the WACC.
B) Since debt financing is cheaper than equity financing, raising a company's debt ratio will always reduce its WACC.
C) Increasing a company's debt ratio will typically reduce the marginal costs of both debt and equity financing. However, this action still may raise the company's WACC.
D) Increasing a company's debt ratio will typically increase the marginal costs of both debt and equity financing. However, this action still may lower the company's WACC.
E) Since a firm's beta coefficient is not affected by its use of financial leverage, leverage does not affect the cost of equity.

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The Miller model begins with the Modigliani and Miller (MM) model with corporate taxes and then adds personal taxes.

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