Gapenski case 11.2 solutions

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Feb 20, 2024

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PROBLEM 1 Version B Assume HCA sold bonds that have a ten-year maturity, a 13 percent coupon rate with annual payments, and a $1,000 par value. a. Suppose that two years after the bonds were issued, the required interest rate fell to 12 percent. W would be the bond's value? b. Suppose that two years after the bonds were issued, the required interest rate rose to 14 percent would be the bond's value? ANSWER a. Interest rate rate 12% Years to maturity nper 8 Annual coupon payment pmt $130 Par value FV $1,000 Bond value PV ($1,049.68) b. Interest rate rate 14% Years to maturity nper 8 Annual coupon payment pmt $130 Par value FV $1,000 Bond value PV ($953.61) PROBLEM 2 Tenet Healthcare, has a bond issue outstanding with eight years remaining to maturity, a coupon rate of 9 percent with interest paid annually, and a par value of $1,000. The current marke price of the bond is $1,251.22. a. What is the bond's yield to maturity? b. Now, assume that the bond has semiannual coupon payments. What is its yield to maturity in this situation? ANSWER a. Years to maturity nper 8 Annual coupon payment pmt $90 Current price pv -$1,251.22 Par value fv $1,000 Yield to maturity rate 5.10% b. Semiannual periods to maturity nper 16 Semiannual coupon payment pmt $45 Current price pv -$1,251.22 Because interest rates have fallen since the bond was issued, it is selling at a premium . Because interest rates have risen since the bond was issued, it is selling at a discount .
Par value fv $1,000 Yield to maturity rate 2.57% 5.13% higher than under annual interest. Note that the effective annual YTM is still higher. PROBLEM 3 United Health Group has bonds outstanding that have four years remaining to maturity, a coupon interest rate of 8 percent paid annually, and a $1,000 par value. a. What is the yield to maturity on the issue if the current market price is $829? b. If the current market price is $1,104? c. Would you be willing to buy one of these bonds for $829 if you required a 12 percent rate of return the issue? Explain your answer. ANSWER a. Years to maturity nper 4 Annual coupon payment pmt $80 Current price pv -$829.00 Par value fv $1,000 Yield to maturity rate 13.85% b. Years to maturity nper 4 Annual coupon payment pmt $80 Current price pv -$1,104.00 Par value fv $1,000 Yield to maturity rate 5.06% c. Therefore, the YTM, which is expressed as a stated annual rate, is 2 x 2.57% = 5.13% , w Yes , the YTM > the 12% required rate of return.
What t. What et s
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PROBLEM 1 Version B Liberty Rehab Corporation has a current stock price of $56, and its last dividend (D0) was $5.00. In view of the company's strong financial position, its required rate of return is 10 percent. If Liber dividends are expected to grow at a constant rate in the future, what is the firm's expected stock price in five years? ANSWER First, given the current stock price, find the stock's constant growth rate: D0 + P0 5 + 55 E(g) = 0.8% Spreadsheet solution: D0 $5.00 R(Rs) 10% P0 $56.00 E(g) 1.0% =((C23*C22)-C21)/(C21+C23) Now, under constant growth assumptions, stock price increases each year at the growth rate, E(g), so t expected stock price in five years is $45.95: E(P5) = $55 x (1.008)5 = $57.33 Spreadsheet solution: P0 $56 E(g) 0.984% n 5 E(P5) ($58.81) =FV(C32,C33,,C31) PROBLEM 2 Your personal financial advisor is trying to get you to buy the stock of Eagle Healthcare, a local drug and alcohol rehabilitation company. The stock has a current market price of $35, its last divid and the company's earnings and dividends are expected to increase at a constant growth rate of 8 perc required return on this stock is 15 percent. From a strict valuation standpoint, should you buy the stock? ANSWER With a current price of $35.00, the stock is undervalued and hence should be purchased. Spreadsheet solution: D0 $2.50 E(g) 8% R(Rs) 15% E(P0) $38.57 =(C22*(1+C23))/(C24-C23) E(g) = [(P0 * R(Rs)] - D0 E(g) = (55*.10) - 5
rty's n the dend (D0) was $2.50, cent. The
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PROBLEM 1 Version B St. David's Hospital in Austin, Texas has a target capital structure of 35 percent debt and 65 equity (fund capital) estimate is 13.5 percent and its cost of debt is 7 percent. If it has a 35% is the hospital's corporate cost of capital? ANSWER The corporate cost of capital is merely the weighted average (blend) of the comp Spreadsheet solution: wd = 35% R(Rd) = 7% T = 35% we = 65% R(Re) = 13.5% CCC = 10.4% Double click on this cell to see the formula. PROBLEM 2 The capital structure for HCA is provided below. If the firm has a 5% after tax cost of debt, 9 a 11.5% cost of preferred stock, an 15% cost of common stock, and given the dollar amount weighted average cost of capital (WACC)? Capital Structure (in K's) Weights Individual Costs Bonds $ 1,083 13.75% 5.00% Commercial Loans $ 2,845 36.12% 9.00% Preferred Stock $ 268 3.40% 11.50% Common Stock $ 3,681 46.73% 15.00% $ 7,877 100.00%
5 percent equity. Its cost of % tax rate, what ponent costs: 9% commerical loan rate, ts provided below, what is the firm's Weighted Costs 0.69% 3.25% 0.39% 7.01% 11.34%