Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity A 1 YTM(%) 5.5% B C D 2 6.5 3 4 7.0 7.5 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? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Bond Years to Maturity YTM (%) B 1 % C 2 % D 3 %

Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity A 1 YTM(%) 5.5% B C D 2 6.5 3 4 7.0 7.5 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? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Bond Years to Maturity YTM (%) B 1 % C 2 % D 3 %

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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A coupon bond of 8.4 percent with 18 years left to maturity is priced to offer a 6.70 percent yield to maturity. You believe that in one year, the yield to maturity will be 7.4 percent. (Assume interest payments are semiannual.) What would be the total return of the bond in dollars? What would be the total return of the bond in percentage?
A treasury bond with $100 maturity face value has a $9 annual coupon, and 15 years left to maturity. What price will the bond sell for assuming that the 15 year yield to maturity in the market is 4%, 9%, and 14% respectively. (Show working out, without the use of external software such as excel or stata) Explain whether the price movements would have been greater or smaller if a 10 year bond had been used rather than a 15 year one without any further calculations.
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?
Assume that the Pure Expectations Theory of the term structure is correct. Also assume that the interest rate today on a 9-year security is 6.40%, while the interest rate today on a 15-year security is 8.00%. Finally assume that the interest rate on a 3-year security to be bought at Year 9 and held over Years 10, 11, and 12 is 6.80%. Given this information, determine the average annual return that investors today must expect that they will receive from investing in a 3-year security in 12 Years (that is, buying the security at Year 12 and holding it over Years 13, 14, and 15). O 13.00% O 12.50% 13.50% O 12.00% O 14.00%
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 % % %
2
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 0.35 0.40 0.25 YTM 11.0% 9.0 % 7.0 % Price Capital Gain Coupon Interest HPR % % %
Assume that the bond from problem #1 reaches maturity in 5 years instead of 15 years, with the same coupon rate and par value. What would the relevant market prices be at 10%, 5%, and 14% required market rates of return?
A Treasury STRIP is a zero-coupon US Treasury bond. If the STRIP's yield-to-maturity is 2.5%, par value is $1,000, and 7 years remain until maturity, what is the bond's price today? Use a semi-annual compounding period in your calculations. Enter your answer as a positive number rounded to the nearest penny.
A treasury bond with $100 maturity face value has a $9 annual coupon, and 15 years left to maturity. What price will the bond sell for assuming that the 15 year yield to maturity in the market is 4%, 9%, and 14% respectively. (Show working out) Explain whether the price movements would have been greater or smaller if a 10 year bond had been used rather than a 15 year one without any further calculations.
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
The yield on a 1-year zero-coupon bonds is currently 7%; the YTM on 2 -year zeros is 8%. The treasury plans to issue a 2 -year maturity coupon bond, paying coupons once a year with a coupon rate of 9%. The face value of the bond is $100. (BKM 15.11) a) At what price will the bond sell? 15 p b) If the expectations theory of the yield curve is correct, what is the market expectation of the price that the bond will sell for next year? c) Recalculate your answer to b) if you believe in the liquidity preference theory and you believe the liquidity premium is 1%.

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