Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.25 0.50 0.25 YTM 10.0 % 9.0 % 8.0 % $ Price 43.44 Capital Gain $ (56.56) $ Coupon Interest 4.00 HPR (52.56) % % %

Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.25 0.50 0.25 YTM 10.0 % 9.0 % 8.0 % $ Price 43.44 Capital Gain $ (56.56) $ Coupon Interest 4.00 HPR (52.56) % % %

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose your friend is debating purchasing a bond that has a $1,000 par value, 13 years to maturity, and a 7% annual coupon. Your friend would like to determine the yield to maturity if the bond sells for a price of $980. In order to use your financial calculator to solve for the rate of return on this bond, you need to know the following information: PV: the bond's value or price N: the number of years before the bond matures PMT: the dollars of interest paid each year, which equals the coupon rate times the par value of the bond FV: par, or maturity, value of the bond Complete the following table by selecting the appropriate values for N, PV and PMT. Then use your financial calculator to solve for the rate of return, and complete the final row of the table. Input $1,000 Keystroke I/Y PV PMT FV Output Suppose your friend wants to know what price the bond will be in three years assuming the yield to maturity remains constant. To calculate what the bond price will be three years from…
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Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 4.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.25 0.50 0.25 YTM 10.0 % $ 9.0 % 8.0 % Capital Gain 43.44 $ (56.56) Price $ Coupon Interest 4.00 HPR (52.56) % % %
The real risk-free rate is 3.5%. Inflation is expected to be 2.5% this year and 4.75% during the next 2 years. Assume that the maturity risk premium is zero. What is the yield on 2-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. % What is the yield on 3-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. %
Interest rates on 4-year Treasury securities are currently 5.2%, while 6-year Treasury securities yield 7.25%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. %
Suppose that you bought a 14% Drexler bond with time to maturity of 9 years for $1,379.75 (semiannual coupons, interest rate=8%). After another ½ year, you sold the bond. Assuming that the required rate of return remained at 8%, what would the selling price be? What is the rate of return from this investment? If the interest rate dropped by 25 basis points, what would the selling price be? What would the rate of return from this investment be?
For the following questions, assume the normal case that coupon payments are semi-annual. a. What is the yield to maturity on a 12-year, 6.2% coupon bond if the bond is currently selling for $1,000? b. For the bond above, suppose that immediately after purchase market rates change to 3.60%. If you hold the bond for 4 years and then sell it, what is your effective annual return on this investment? % (enter response rounded to decimal places; i.e., x.xx%) b. Your effective annual return is % (enter response rounded to decimal places; i.e., x.xx%) a. The YTM is
ces Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% if it is par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells bl enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate your answers to 2 decimal places.) Economy Boom Normal Growth Recession Probability 0.20 0.60 0.20 YTM 11.0 % 9.0 % 7.0% Price Capital Gain Coupon Interest HPR % % %
How much would you pay for a zero coupon bond with a par value of $1000, a maturity of 21 years, if your required rate of return is 6.1%? Assume annual discounting. (Round your answer to the nearest penny.)
Consider the following $1,000 par value zero-coupon bonds: Years to Maturity 1 2 3 4 Bond A B C D Required: According to the expectations hypothesis, what is the market's expectation of the yield curve one year from now? Specifically, what are the expected values of next year's yields on bonds with maturities of (a) one year? (b) two years? (c) three years? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Bond B C D YTM (%) 5.2% 6.2 6.7 7.2 Years to Maturity 1 2 3 YTM (%) % % %
Interest rates on 4-year Treasury securities are currently 6.2%, while 6-year Treasury securities yield 8.05%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. %
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 3.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.30 0.60 0.10 YTM 10.0% 8.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %

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