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 7.5 basis points for every 20.25-basis- point move in the yield on 5 - year bonds. You hold a $ 1.2 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 F 0 = $80. How many futures contracts should you sell? Note: Do not round intermediate calculations. Round your final answer to the nearest whole number. I tried the answers 2 and 18, both of which were wrong. I don 't know how to calculate them. An expert's reply of 667 is also wrong.
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- 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 a bond with an annual coupon of 11 percent for $1,130. The bond has 18 years to maturity. What rate of return do you expect to earn on your investment? (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. WhatThe 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 a bond with an annual coupon of 10 percent for $1,120. The bond has 17 years to maturity. What rate of return do you expect to earn on your investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % %The Expectations theory suggests that under certain conditions all bonds outstanding, especially Treasury bonds, must have identical total returns over a 1-year holding period, independently of their final maturity. suppose that today’s interest rate on a 2-year default free zero-coupon Treasury bond that pays $100 at maturity (0i0,2) is 6%. What is today’s price of such a bond (that is, what would you pay to purchase such a bond)?
- You are considering two bonds. Bond A has a 9% annual coupon while Bond B has a 6% annual coupon. Both bonds have a 7% yield to maturity, and the YTM is expected to remain constant. Which of the following statements is CORRECT? State your reason for the answer. The price of Bond A will decrease over time, but the price of Bond B will increase over time. The price of Bond B will decrease over time, but the price of Bond A will increase over time. The prices of both bonds will remain unchanged. The prices of both bonds will increase by 7% per year. The prices of both bonds will increase by 9% per year.Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 Suppose now that the current one-period interest rate is 5% and that the markets expects future one period interest rates to decline by %0.5 per year.(a). Assume first that the liquidity premium is constant at 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.(b). Assume next that the liquidity premium increases by 0.5% per year from initially being 1%. Draw a graph with the spot yield curve, the forward rates curve and a curve showing expected future one-period interest rates.What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)
- Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Q1. Based on the graph, which of the following statements is true? a. Neither bond has any interest rate risk. b. The 10-year bond has more interest rate risk. c. Both bonds have equal interest rate risk. d. The 1-year bond has more interest rate risk. Q2. Which type of bonds offer a higher yield? a. Noncallable bonds b. Callable bonds Q3. Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates.…Yield to maturity (YTM) is the rate of return expected from a bond held until its maturity date. However, the YTM equals the expected rate of return under certain assumptions. Which of the following is one of those assumptions? The bond will not be called. The bond has an early redemption feature. Consider the case of BTR Co.: YTM YTC BTR Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,100.35. However, BTR Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on BTR Co.'s bonds? Value If interest rates are expected to remain constant, what is the best estimate of the remaining life left for BTR Co.'s bonds? 13 years 10 years 5 years 8 years If BTR Co. issued new bonds today, what coupon rate must the bonds have to be issued at par?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…
- 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 a bond with an annual coupon rate of 6 percent for $1,080. The bond has 13 years to maturity. What rate of return do you expect to earn on your investment? Assume a par value of $1,000. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b- Two years from now, the YTM on your bond has declined by 1 percent, and you 1. decide to sell. What price will your bond sell for? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b- What is the HPY on your investment? (Do not round intermediate calculations and 2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Expected rate of return b-1. Bond price b-2. HPY % %Which one of the following statements concerning debt instruments is correct? O A) A 25-year bond with a coupon rate of 9% and 1 year to maturity has more interest rate risk than a 10-year bond with a 9% coupon issued by the same firm with 1 year to maturity. O B) The coupon rate and yield of an outstanding long-term bond will change over time as economic factors change. O C) For long-term bonds, price sensitivity to a given change in interest rates is greater the longer the maturity of the bond. O D) A bond with 1 year to maturity would have more interest rate risk than a bond with 15 years to maturityThe 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 8.4 percent for $825. 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? (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? (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? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) X Answer is complete but not entirely correct. Rate of return…