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Unformatted text preview: Solutions to End-of-Chapter Problems 7-1 With your financial calculator, enter the following: N = 10; I/YR = YTM = 9%; PMT = 0.08 1,000 = 80; FV = 1000; PV = V B = ? PV = $935.82. 7-2 V B = $985; M = $1,000; Int = 0.07 $1,000 = $70. a. N = 10; PV = -985; PMT = 70; FV = 1000; YTM = ? Solve for I/YR = YTM = 7.2157% 7.22%. b. N = 7; I/YR = 7.2157; PMT = 70; FV = 1000; PV = ? Solve for V B = PV = $988.46. 7-3 The problem asks you to find the price of a bond, given the following facts: N = 2 8 = 16; I/YR = 8.5/2 = 4.25; PMT = 45; FV = 1000. With a financial calculator, solve for PV = $1,028.60. 7-4 With your financial calculator, enter the following to find YTM: N = 10 2 = 20; PV = -1100; PMT = 0.08/2 1,000 = 40; FV = 1000; I/YR = YTM = ? YTM = 3.31% 2 = 6.62%. With your financial calculator, enter the following to find YTC: N = 5 2 = 10; PV = -1100; PMT = 0.08/2 1,000 = 40; FV = 1050; I/YR = YTC = ? YTC = 3.24% 2 = 6.49%. Since the YTC is less than the YTM, investors would expect the bonds to be called and to earn the YTC. 7-5 a. 1. 5%: Bond L: Input N = 15, I/YR = 5, PMT = 100, FV = 1000, PV = ?, PV = $1,518.98. Bond S: Change N = 1, PV = ? PV = $1,047.62. 2. 8%: Bond L: From Bond S inputs, change N = 15 and I/YR = 8, PV = ?, PV = $1,171.19. Chapter 7: Bonds and Their Valuation Answers and Solutions 1 Bond S: Change N = 1, PV = ? PV = $1,018.52. 3. 12%: Bond L: From Bond S inputs, change N = 15 and I/YR = 12, PV = ?, PV = $863.78. Bond S: Change N = 1, PV = ? PV = $982.14. b. Think about a bond that matures in one month. Its present value is influenced primarily by the maturity value, which will be received in only one month. Even if interest rates double, the price of the bond will still be close to $1,000. A 1-year bonds value would fluctuate more than the one- month bonds value because of the difference in the timing of receipts. However, its value would still be fairly close to $1,000 even if interest rates doubled. A long-term bond paying semiannual coupons, on the other hand, will be dominated by distant receipts, receipts that are multiplied by 1/(1 + r d /2) t , and if r d increases, these multipliers will decrease significantly. Another way to view this problem is from an opportunity point of view. A 1-month bond can be reinvested at the new rate very quickly, and hence the opportunity to invest at this new rate is not lost; however, the long-term bond locks in subnormal returns for a long period of time.long-term bond locks in subnormal returns for a long period of time....
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- Spring '09