The current yield curve for default-free zero-coupon bonds is as follows:Maturity(Years)1YTM (%)6%7923Required:a. What are the implied 1-year forward rates?b. Assume that the pure expectations hypothesis of the term structure is correct. If marketexpectations are accurate, what will be the yield to maturity on 1-year zero-coupon bonds nextyear?c. Assume that the pure expectations hypothesis of the term structure is correct. If marketexpectations are accurate, what will be the yield to maturity on 2-year zero-coupon bonds nextyear?d. If you purchase a 2-year zero-coupon bond now, what is the expected total rate of return overthe next year? Ignore taxes.e. What is the expected total rate of return over the next year on a 3-year zero-coupon bond?f. What should be the current price of a 3-year maturity bond with a 9% coupon rate paidannually?g. If you purchased the coupon bond at the price you computed in part (f), what would your totalexpected rate of return be over the next year (coupon plus price change)? Ignore taxes.

I can draw the following conclusions and provide answers to the following queries based on the yield…

Answered: The current yield curve for…

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 the real risk-free rate of interest is r*=4%�*=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1×(t−1)%0.1×�−1%, where t� is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%. The average inflation during the first 4 years is2.37% . What is the yield on a 4-year Treasury bond? 4.30% 8.90% 6.75% 7.05% What is the yield on a 4-year BBB-rated bond? 8.90% 7.50% 7.05% 8.45% If the yield on a 5–year Treasury bond is 7.38% and the yield on a 6–year Treasury bond is 7.83%, the expected inflation in 6 years is . (Hint: Do not round intermediate calculations.)
Suppose the real risk-free rate is 2.5%, the average future inflation rate is 2.3%, a maturity premium of 0.07% per year to maturity applies, i.e., MRP = 0.07% (t), where t is the years to maturity. Suppose also that a liquidity premium of 1% and a default risk premium of 0.7% applies to A-rated corporate bonds. How much higher would the rate of return be on a 7-year A-rated corporate bond than on a 5-year Treasury bond. Here we assume that the pure expectations theory is NOT valid. O 1.84% O 1.64% O 1.44% O 1.24% 1.04%
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has
Assuming a mild preference for shorter-term bonds, the liquidity premium theory suggests that a flat yield curve is an indication of: A) constant short-term interest rates in the near and further future. B) a slight rise in short-term interest rates in the near future and a slight decline in the further future. C) constant short-term interest rates in the near future and a slight decline in the further future. D) a slight decline in short-term interest rates in the near and further future. Support your answer using a numerical example and explain carefully all the assumptions you make.
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%
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 YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). a. Suppose that today you buy an annual coupon bond with a coupon rate of 8.3 percent for $785. The bond has 8 years to maturity and a par value of $1,000. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b-1. Two years from now, the YTM on your bond has declined by 1 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-2. What is the HPY on your investment? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. a. Rate of return b-1. Price b-2. Holding period…
Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)
EXPECTATIONS THEORY Assume that the real risk-free rate is 2% and that the risk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. What inflation rate is expected during Year 2? Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. 6-15 maturity
Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is Which graph best depicts the yield curve of the zero-coupon bonds? (Select the best choice below.) O A. 8- 7- 6-…
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?

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