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%.

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%.

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 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 % % %
The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
A 5-year Treasury bond has a 4.9% yield. A 10-year Treasury bond yields 6.1%, and a 10-year corporate bond yields 8.5%. The market expects that inflation will average 1.7% over the next 10 years (IP10 = 1.7%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. What is the yield on this 5-year corporate bond? Round your answer to one decimal place. %
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 % % %
Suppose the interest rate on a 1-year T-bond is 5.00% and that on a 2-year T-bond is 6.40%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.40% for a 2-year bond. What is the yield on a 1-year T-bond expected to be one year from now?
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.
Recall that on a one-year Treasury security the yield is 5.6100% and 6.7320% 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 0.15%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) a 9.6049% b 6.4285% c 8.6217% d 7.5629% Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market’s estimate of the three-year Treasury rate two years from now? (Note: Do not round your intermediate calculations.) a 5.46% b 6.45% c 6.53% d 6.61%
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.
A 5-year Treasury bond has a 4.6% yield. A 10-year Treasury bond yields 6.3%, and a 10-year corporate bond yields 8.85%. The market expects that inflation will average 2.1% over the next 10 years (IP10 = 2.1%). Assume that there is no maturity risk premium (MRP = 0) and that the annual real risk-free rate, r*, will remain constant over the next 10 years. (Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP = LP = 0.) A 5-year corporate bond has the same default risk premium and liquidity premium as the 10-year corporate bond described. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. X Open spreadsheet What is the yield on this 5-year corporate bond? Round your answer to two decimal places. %
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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