Calculate the approximate price change for this bond using both duration and convexity in the computation, assuming yield to maturity declined by 200 basis points. What is the new price of the bond if it was $1010 before the yield changes?
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- 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-…The following table summarizes the prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): a. Compute the yield to maturity for each bond. b. Plot the zero-coupon yield curve (for the first five years). c. Is the yield curve upward sloping, downward sloping, or flat?Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both parts
- (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i 0 . What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i 0 > i? (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?a) You hold a consol that pays a coupon in perpetuity. The current interest rate is i , and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? b) In the next period however, the interest rate changes unexpectedly to i 0. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if 0 > i?Economic If the current yield of a bond goes down from 6.9% to 4.8%, by what percent does the market price increase? Round your answer to the nearest percent.
- d. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?If the current yield of a bond goes down from 6.1% to 4.5%, by what percent does the market price increase?Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?
- Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% 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. 2 11.00% 4.008% 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.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today?Assume that the real risk-free rate is 2% and that the maturityrisk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bondyields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yieldusing a geometric average. What inflation rate is expected during Year 2? Comment onwhy the average interest rate during the 2-year period differs from the 1-year interestrate expected for Year 2.