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Bond B is a 2-year maturity coupon-paying bond with annual coupon of 10 and face value of 110. The yield curve is flat at 4% per year. Consider a forward contract F on one bond B. If the forward F's maturity is 15 months from now, what is the no-arbitrage forward price F0, 15 months? Enter your answer with 2 decimal places after the point.
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- You can enter into a forward contract for a bond with a maturity in one year months that pays a coupon payment of $25 every six months. The bond has a forward price of $930. The current zero coupon rate for 6 months is 4% annually and the zero coupon risk free rate for one year is 5% annually (assume continuous compounding). The current price of the bond is $943. Use the equilibrium forward price equation (F=Sert) adjusted for both coupon payments to see if an arbitrage opportunity exists. If arbitrage is possible, explain the arbitrage opportunity that exists and show how the profit can be earned – make sure to explain every step in detail in realizing the profit and establishing the arbitrage. If arbitrage is not possible, show how you know it is not possible. ANSWER IN TYPING OTHER WISE DOWNVOTE YOUA bond has 10 years until maturity, a coupon rate of 8.1%, and sells for $1,190. Interest is paid annually. (Assume a face value of $1,000.) a. If the bond has a yield to maturity of 9.9% 1 year from now, what will its price be at that time? Note: Do not round intermediate calculations. Round your answer to nearest whole number. Price b. What will be the rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. Rate of return % c. If the inflation rate during the year is 3%, what is the real rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. Real rate of return %Consider a bond paying a coupon rate of 10% per year semi-annually when the market interest rate is only 4% per half-year. The bond has three years until maturity. This initial payment is $1000. A: What is find the bond’s price today and 6 months time after the next coupon is paid? B: What is the total rate of return on the bond?
- Example: You buy a 10-year maturity bond for the face value of $1,000 when the current interest rate is 9%. A year later, you sell the bond for $980. Assuming annual coupon payment, a. What is the new yield to maturity on the bond when you sell the bond? b. What's your holding period return during the year?Consider a bond (with par value = $1,000) paying a coupon rate of 10% per year semiannually when the market interest rate is only 4% per half-year. The bond has three years until maturity. Required: a. Find the bond's price today and six months from now after the next coupon is paid. b. What is the total (6-month) rate of return on the bond? Complete this question by entering your answers in the tabs below. Required A Required B Find the bond's price today and six months from now after the next coupon is paid. Note: Round your answers to 2 decimal places. Current price Price after six months $ $ 1,052.42 1,044.52Consider an annual coupon bond with a face value of $100, 10 years to maturity, and a price of $95. The coupon rate on the bond is 3%. If you can reinvest coupons at a rate of 1% per annum, then how much money do you have if you hold the bond to maturity?
- A n-year annual coupons bond with coupon rate r per year. The yield rate is 0.10. Calculate the Macaulay duration of the bond for all four possible combinations of parameters: • n = 10 or 30 • r = 0.05 or 0.15An analyst observes a 10- year, 10% semi annual-pay bond. The face amount is £1,000. The analyst believes that the yield to maturity for this bond should be 15% based on this yield estimate, what would be the amount ? what is the method to solve this equation and the solution? Thank you.Suppose that you buy a two-year 7.3% bond at its face value. a-1. What will be your total nominal return over the two years if inflation is 2.3% in the first year and 4.3% in the second? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Nominal return a-2. What will be your real return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Real return % % Real return Nominal return b. Now suppose that the bond is a TIPS. What will be your total 2-year real and nominal returns? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 1%
- 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?You will be paying $8,600 a year In tultion expenses at the end of the next two years. Bonds currently yleld 7%. Q. What is the present value and duration of your obligation? b. What maturity zero-coupon bond would Immunize your obligation? c. Suppose you buy a zero-coupon bond with value and duration equal to your obligation. Now suppose that rates immediately Increase to 9%. What happens to your net position, that is, to the difference between the value of the bond and that of your tultion obligation? d. What if rates fall Immediately to 5% ? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D What is the present value and duration of your obligation? (Do not round intermediate calculations. Round "Present value" to 2 decimal places and "Duration" to 4 decimal places.) \table[[,,,],[Present value,,,,,],[Duration,,years,,,]]Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) Price 1 $ 998.78 2 880.89 3 815.92 4 752.40 5 685.70 a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.) b. How could you construct a 1-year forward loan beginning in year 3? (Round your Rate of synthetic loan answer to 2 decimal places.) c. How could you construct a 1-year forward loan beginning in year 4? (Round your answers to 2 decimal places.)