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

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

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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Interest rates on 4-year Treasury securities are currently 5.4%, while 6-year Treasury securities yield 7.85%. 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.
The real risk-free rate is 3.00%. Inflation is expected to be 2.25% this year and 3.50% 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. %
Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.5%, and interest rates on 3-year T-bonds yield 3.7%.a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.
The real risk-free rate, r, is 1.3%. Inflation is expected to average 1.1% a year for the next 4 years, after which time inflation is expected to average 3.8% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 9.8%, which includes a liquidity premium of 0.4%. What is its default risk premium? Do not round Intermediate calculations. Round your answer to two decimal places.
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?
The real risk-free rate is 2.75%. Inflation is expected to be 1.75% 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. 6.50 What is the yield on 3-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. 3.750 % %
The real risk-free rate, r*, is 1.4%. Inflation is expected to average 1.2% a year for the next 4 years, after which time inflation is expected to average 4.3% a year. Assume that there is no maturity risk premium. An 8-year corporate bond has a yield of 10.7%, which includes a liquidity premium of 0.7%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places.
The real risk-free rate, r*, is 1.7%. Inflation is expected to average 1.4% a year for the next 4 years, after which time inflation is expected to average 4.4% a year. Assume that there is no maturity risk premium. A 9-year corporate bond has a yield of 11.0%, which includes a liquidity premium of 0.2%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places. 3.2 % Hide Feedback
Recall that on a one-year Treasury security the yield is 4.0000% and 5.4000% 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 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 6.8509% 6.0096% 7.6322% 5.1082%
5
Interest rates on 4-year Treasury securities are currently 5.4%, while 6-year Treasury securities yield 7.45%. 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 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 %

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