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Finance Review Byers
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Practice Problem 1 What is the percentage return on a stock that was purchased for $70.00 paid a $5.00 dividend after one year and was then sold for $68.00?
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Practice Problem 2 What is the average return, variance, and standard deviations of returns of a stock portfolio that produced returns of 10%, -10% and 15% over the past three years?
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Practice Problem 3 A common stock is held for three years, during which time it receives an annual dividend of $ The stock was sold for $75.00 and generated an average annual return of 15%. What price was paid for the stock?
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Practice Problem 4 If a stock is purchased for $25 per share and held one year, during which time a $3.50 dividend is paid and the price climbs to $28.25, the rate of return is: 13.00% 14.00% 23.01% 27.00%
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Problem 5 You held 500 shares of 3M common stock. The company’s share price was $52.81 at the beginning of the year. During the year, the company paid a dividend of $2.56 per share, and ended the year at a price of $ What is the dollar return, the percentage return, the capital gains yield, and the dividend yield for your investment in 3M?
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Dollar return = 500 x ($58.12-$52.81+$2.56)
= $3,935 Percent return = ($58.12-$52.81+$2.56)/$52.81 = 14.90% Capital gains yield = ($ $52.81)/$ 52.81 = 10.05% Dividend yield = $2.56/$ 52.81 = 4.85%
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Problem 6 Using the following returns, calculate the average return, the variance, and the standard deviation, for Cyberdyne stock. Year Cyberdyne %
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Average Return = (7 + 14 - 3) / 3 = 6
Average Return = ( ) / 3 = 6.00% σ2Cyberdyne = [(7 – 6)2 + (14 – 6)2 + (- 3 – 6)2] / (3 - 1) σ2Cyberdyne = 73 σCyberdyne = (73)1/2 = 8.54%
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Problem 7 We expect the market portfolio to earn 12%, and T-bill yields are 4%. Lowes has a beta of Calculate Lowes required return
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Required Return = 4 + 1.2(12 - 4) = 13.6%
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Problem 8 The market risk premium is Clampett Oil’s required return is 11.2%. The risk-free rate is 5 percent. What is the firm’s beta?
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Required Return = Rf + β(RM – Rf)
11.2 = 5 + β(7.2) β = (11.2 – 5) / 7.2 =
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Problem 9 ACME’s common stock paid a dividend of $1.32 last year and is expected to grow at 7 percent annually forever. What is the cost of the firm’s retained earnings if the current stock price is $35.31?
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Problem 10 A firm’s long-term debt is currently selling at a price of $1,090. The issue matures in 12 years and pays an annual coupon of 7.5%. What is the before-tax cost of debt? A) 5.60% B) 6.40% C) 7.50% D) 8.90% E) 9.30%
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Problem 11 Refer to the previous problem. If the firm’s marginal tax rate is 39 percent, what is the after-tax cost of debt?
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Problem 12 The current market price of Fitch Company’s common stock is $ The firm expects to pay a dividend of $2.90, and the growth rate is projected to be 9 percent annually. The company is in a 34 percent tax bracket. What is the cost of common equity?
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Problem 13 Suppose your company has an equity beta of 1.8 and the current risk-free rate is 6.0%. If the expected market risk premium is 9.6%, what is your cost of equity capital?
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Problem 14 Suppose we have a bond issue currently outstanding that has 20 years left to maturity. The coupon rate is 8% and coupons are paid semiannually. The bond is currently selling for $ per $1000 bond. What is the cost of debt?
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Problem 15 Your company has preferred stock that has an annual dividend of $4.50. If the current price is $22, what is the cost of preferred stock?
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Problem 16 A firm has a target debt-equity ratio of Its cost of equity is 18 percent and its cost of debt is 15 percent. If the tax rate is 36 percent, what is the firm’s WACC?
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Problem 17 Given the following information, find the company’s WACC. Assume the company's tax rate is 30 percent. Debt: 4,000 7 percent coupon bonds outstanding, $1,000 par value, 20 years to maturity, selling for $1,020; the bonds make semiannual payments. Common stock: 90,000 shares outstanding, selling for $55 per share; the beta is 1.1. Market: 7 percent market risk premium and 3 percent risk- free rate.
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Weights: Market value of debt = 4000 bonds x $1020/bond = $4,080,000
Market value of equity = 90,000 shares x $55/share = $4,950,000 Total market value = $9,030,000 Wd = 4,080,000 9,030,000 = 45.18% We = 4,950,000 9,030,000 = 54.82%
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Problem 18 Refer to the previous problem. What would the NPV be for the following project if it has the same risk as the overall firm? Period Cash Flow -280,000 1 55,000 2 85,000 3 95,000 4 120,000
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