Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 3.5% 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 3.5% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (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 0.55 0.20 YTM 8.0 % 6.0 % 4.0 % Price Capital Gain Coupon Interest HPR % % %

Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 3.5% 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 3.5% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (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 0.55 0.20 YTM 8.0 % 6.0 % 4.0 % Price Capital Gain Coupon Interest HPR % % %

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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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) % % %
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 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.) (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 Probability YTM price capital gain coupon interest HPR boom 0.25 10% normal growth 0.50 9% recession 0.25 8%
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 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.) (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 Capital Gain Coupon Interest HPR % % %
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 % % %
Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Suppose you just purchased a bond (Face Value = $1,000) with 16 years to maturity that pays an annual coupon of $24.00 and is selling at par. Calculate the one-year holding period return for each of these two cases: Required: a. The yield to maturity is 3.90% one year from now. (Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) HPR b. The yield to maturity is 1.70% one year from now. (Do not round intermediate calculations. Round your answer to 2 decimal places.) HPR %
Consider a long forward contract to purchase a coupon-bearing bond whose current price is $910. We will suppose that the forward contract matures in 9 months. We will also suppose that a coupon payment of $45 is expected after 4 months. We assume that the 4-month and 9-month risk-free interest rates (continuously compounded) are, respectively, 3% and 4% per annum. Explain how an arbitrageur can make profits from this scenario.
c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint. Compute the current and expected future prices.) Ignore taxes. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Expected total rate of return % e. If you purchase a three-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint. Compute the current and expected future prices.) Ignore taxes. (Do not round intermediate calculations. Round your answer to 2 decimal
Suppose the 1-year spot rate is 0.8%, and that a 2-year 1.5% annual coupon, a 3-year 2% annual coupon bonds are trading at par ($100). Calibrate a 2-year binomial interest rate model, assuming that interest rate volatility ?σ is 10%. What is the lowest rate at t=2?
Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with an 8% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as follows: State of the Economy Boom Normal growth Recession Probability 0.20 0.50 0.30 YTM 11.0% 8.0 7.0 For simplicity, assume the entire 8% coupon is paid at the end of the year rather than every 6 months.
The yield on a one-year Treasury security is 4.4600%, and the two-year Treasury security has a 6.6900% yield. Assuming that the pure expectations theory is correct, what is the market's estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 8.9676% 10.2231% 11.3889% 7.6225% Recall that on a one-year Treasury security the yield is 4.4600% and 6.6900% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.3%. What is the market's estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 7.1023% 8.3556% 10.6116% 9.5254%
Ross Law is pondering on the following data. Three-year Treasury securities currently yield 6%, while 4 year treasury security yield 6.5%. Assume that the expectations theory holds, what does the market believe the rate will be on a 1-year treasury security, three years from now?

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