Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at Fe = $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) Number of future contracts

Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $4.5 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at Fe = $75. How many futures contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) Number of future contracts

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 20-year bond has a coupon rate of 8 percent, and another bond of the same maturity has a coupon rate of 15 percent. If the bonds are alike in all other respects, which will have the greater relative market price decline if interest rates increase sharply? Why?
Consider a bond with a coupon of 5 percent, seven years to maturity, and a current price of $1,052.80. Suppose the yield on the bond suddenly increases by 2 percent. a. Use duration to estimate the new price of the bond. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price b. Calculate the new bond price using the usual bond pricing formula. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price
Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %
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.
9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 12 basis points for every 18.9-basis-point move in the yield on 5-year bonds. You hold a $45 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures, which currently have modified duration 9 years and sell at Fo contracts should you sell? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) $75. How many futures
Which statements is INCORRECT? Treasury bonds (T-bond) have maturities up to 30 years A coupon bond is called a discount bond when its market price is less than its fair price A bond's yield to maturity (YTM) is the return an investor earns if holding the bond until its maturity Treasury bills (T-bill) have maturities up to one year
The real risk-free rate is 3 percent. Inflation is expected to average 2 percent a year for the next 3 years, after which the inflation is expected to average 3.5 percent a year. Assume that there is no maturity risk premium. A 7-year corporate bond has a yield of 7.6 percent. Assume that the liquidity premium on the corporate bond is 0.4 percent. What is the default risk premium on the corporate bond?
The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder. If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.
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.
Bond J has a coupon rate of 4.2 percent. Bond K has a coupon rate of 14.2 percent. Both bonds have ten years to maturity, a par value of $1,000, and a YTM of 9.4 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Percentage change in price b. Percentage change in price Bond J % % Bond K do do % %
Bond J has a coupon rate of 7 percent and Bond K has a coupon rate of 13 percent. Both bonds have 16 years to maturity, make semiannual payments, and have a YTM of 10 percent. a. If interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e. g., 32.16.) b. What if rates suddenly fall by 2 percent instead? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

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