Chapter 7 problems

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University of Alabama *

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Finance

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Feb 20, 2024

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Problem 1: Brash Corporation initiated a new corporate strategy that fixes its annual dividend at $2.05 per share forever. If the risk-free rate is 4.1% and the risk premium on Brash's stock is 11.1% a. what is the value of Brash's stock? a. 2.05/15.2=13.4% Problem 2: Slater Lamp Manufacturing has an outstanding issue of preferred stock with a par value of $40 and an 18% annual dividend. a. What is the annual dollar dividend? If it is paid quarterly, how much will be paid each quarter? a. 40*0.18=7.20 b. 7.20/4=1.80 b. If the preferred stock is noncumulative and the board of directors has passed the preferred dividend for the last 1 quarter, how much must be paid to preferred stockholders in the current quarter before dividends are paid to common stockholders? a. 1.80 c. If the preferred stock is cumulative and the board of directors has passed the preferred dividend for the last 1 quarter, how much must be paid to preferred stockholders in the current quarter before dividends are paid to common stockholders? a. 1.80+1.80=3.60 Problem 3: Use the constant-growth model (Gordon model) to find the value of the firm shown in the following table: Dividend expected next year Dividend growth rate Required return $1.24 7.3% 13.3% a. 1.24/0.133-0.73=1.24/0.06=20.67 Problem 4: Nabor Industries is considering going public but is unsure of a fair o ff ering price for the company. Before hiring an investment banker to assist in making the public o ff ering, managers at Nabor have decided to make their own estimate of the firm's common stock value. The firm's CFO has gathered data for performing the valuation using the free cash flow valuation model.The firm's weighted average cost of capital is 15%, and it has a $1,760,000 of debt at market value and $350,000 of preferred stock at its assumed market value. The estimated free cash flows over the next 5 years, 2016 through 2020, are given in the table, Year (t) Free cash flow (FCF) 2016 $260,000 2017 $290,000 2018 $350,000 2019 $420,000 2020 $500,000
Beyond 2020 to infinity, the firm expects its free cash flow to grow by 4% annually. a. Estimate the value of Nabor Industries' entire company by using the free cash flow valuation model vFCF=500,000(1+0.04)/0.15-0.04=520,000/0.11=4,727,272.72 tFCF=4,727,272.72+500,000=5,227,272.72 Year (t) Free cash flow (FCF) (1+r)^n PVfcf 2016 $260,000 (1.0.15)^1=1.15 260,000/1.15 226,087 2017 $290,000 (1.0.15)^2=1.3225 290,000/1.3225 219.281 2018 $350,000 (1.0.15)^3=1.5208 350,000/1.5208 230,130 2019 $420,000 (1.0.15)^4=1.7490 420,000/1.7490 240,136 2020 $500,000 (1.0.15)^5=2.011 500,000/2.011 248,588 >2020 $5,227,272.72 (1.0.15)^6=2.3130 5,227,272.72/2.3130 2,259,894 3,424,118 b. Use your finding in part a, along with the data provided above, to find Nabor Industries’ common stock value. a. 3,424,118-1,760,000-350,000 = 1,314,118 c. If the firm plans to issue 200,000 shares of common stock, what is its estimated value per share? a. 1,314,118 / 200,000 = $6.57
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