Problem 6-24 Interest Rate Risk (LO3) Consider two bonds, a 3-year bond paying an annual coupon of 5.30% and a 10-year bond also with an ann Currently sell at a face value of $1,000. Now suppose interest rates rise to 9%. a. What is the new price of the 3-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price b. What is the new price of the 10-year bonds? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Bond price c. Which bonds are more sensitive to a change in interest rates? O Long-term bonds O Short-term bonds
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- Question 4 (a) Consider a 3-year forward contract to buy a coupon-bearing bond thatwill mature 3-years from today. The current price of the bond is $120. Suppose that on that bond 3 coupon payments of $10 are expected after 12, 24, and 36 months. We assume that the 12M, 24M, and 36M risk-free interest rates (continuously compounded) are 1.75%, $2.1, and 2.5% per annum, respectively. Determine the strike price, the forward price and the value of the forward contract.(b) 18 months later, the price of the bond is $105 and the risk-free interest rates for maturity 6M and 18M (continuously compounded) are 1.1% and 1.9% per annum, respectively. What are the strike price, the forward price and the value of the forward contract?Problem 6-19 Interest Rate Risk (LO3) Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short- term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. a. What will be the price of the 4-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be the price of the 8-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What will be the price of the 30-year bond if its yield increases to 6.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What will be the price of the 4-year bond if its yield decreases to 4.10%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) e. What will be the price of the 8-year bond if its yield…QUESTION 7 Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. What is the yield to maturity if one were to purchase the bond at the equilibrium price? 5% .05% 10% .10%
- 9 You skipped this question in the previous attempt. 6 Problem 6-19 Interest Rate Risk (LO3) Consider three bonds with 5.00% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. ts a. What will be the price of the 4-year bond if its yield increases to 6.00%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be the price of the 8-year bond if its yield increases to 6.00%? (Do not round intermediate calculations. Round answer to 2 decimal places.) c. What will be the price of the 30-year bond if its yield increases to 6.00%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What will be the price of the 4-year bond if its yield decreases to 4.00%? (Do not round intermediate calculations. Round answer to 2 decimal places.) e. What will…Question 2 Two bonds are available for purchase in the financial markets. The first bond is a two-year, 50,000 AUD bond that pays an annual coupon of 6 per cent. The second bond is a two- year, 10,000 AUD, zero-coupon bond. (a) What is the duration of the coupon bond if the current yield-to-maturity (R) is 6 per cent? And 8 per cent? How does the change in the current yield to maturity affect the duration of this coupon bond? (b) Calculate the duration of the zero-coupon bond with a yield to maturity of 5 per cent, and 8 per cent.Problem 6-19 Interest Rate Risk (LO3) Consider three bonds with 5.10% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years. need last 2
- Question two Using the following data, estimate the new bond prices of each of the 3 bonds if their yields (interest rates) increase by 0.3%. You should take into account both duration and convexity. Company Maturit Coupo Payment Duratio Yield y Date frequency BP Rio Tinto 2033 Severn Trent 2021 ΔΡ P 2058 n 3.561% Semi- annual 6.125% semi-annual 12.89 n 1.457% semi-annual 24.053 -×100 = (– D™ × Ay×100) + m 8.217 2 The percentage change in the bond price is estimated: 3.11% 78.935 Convexity 4.635% 229.86 4.773% 878.73 ×Convexity× (Ay)² × 100 Bond Price (TZS) 104.52 120.36 37.92Acme Chemical, Inc. is a major manufacturer of chemical products for the agricultural ndustry, including pesticides, herbicides and other compounds. Due to a number of law suits elated to toxic wastes, Acme Chemical has recently experienced a market re-evaluation of its common stock. The firm also has a bond issue outstanding with 10 years to maturity and an annual coupon rate of 5 percent, with interest paid semi annually. The required nominal market annual interest rate on this bond has now risen to 10 percent due to the high risk level associated vith this firm. The bonds have a par or face value of $1,000. 1. Label each of the variables that you would use to determine the value of this bond in the market today: N (time periods until maturity) PMT (periodic interest payment) I per (periodic market interest rate) EV (future value to be received when the bond matures) = 2. Based on the variables that you have identified in Question #1, what is the market value. today (the present…Question 2 Assume the yield curve is flat shown as following table. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 7-year coupon paying bonds and purchasing qs and ql coupon paying bonds with maturities 3 and 15 years respectively. More information on the bonds to be used in the strategy is given Note that we are assuming all bonds pay interest semi-annually. (a) Explain how to interpret the modified duration of -8.86 corresponding to the 15-year maturity bond. (b) Write down the system of equations that needs to be solved in order to find qs and ql and verify that the solution to this system is qs = 679.32 and ql =366.23. (c) Find the profit from this strategy if yield curve moves: (i) up to 8% pa and (ii) down to 5% pa. (d) Explain why in practice it may be difficult to profit from the cash and $duration neutral butterfly. (e) Explain the major differences between the 50-50 butterfly strategy and the cash and $duration neutral butterfly.
- Accounting could someone show me how to work these out? QUESTION S Consider a bond which has a face value of $2,000, a coupon of $50, and is known to have a yield to maturity of 8%. Suppose that the bond matures in five years. What is the present value of the bond? $199.63 O $1,526.77 O $1,560.BO O $373.85 QUESTION 6 Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 2 years. Suppose the demand for such bonds is given by P=2,900-Q, and that the supply of such bonds is given by P200-20 What the equilibrium price and quantity of bonds sold? OP-$900, Q=2,000 OP-$2.000, Q'-900 OP=$200, Q*=9,000 OP=$9,000, Q* 200Problem 10-41 (Algo) The yield to maturity on one-year zero-coupon bonds is 7.3%. The yield to maturity on two-year zero-coupon bonds is 8.3%. Required: a. What is the forward rate of interest for the second year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Forward rate of interest b. If you believe in the expectations hypothesis, what is your best guess as to the expected value of the short-term interest rate next year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Short-term interest rate %Question 2 a. A bond that matures in one year has a $500 face value and a $60 coupon. What is the price of the bond if the interest rate is 6 percent and the bond was purchased by the present owner for $450? b. A bond that matures in two years has a face value equal to F and a coupon equal to R. Suppose that the yield to maturity, i, is such that i = ( R / F ). The price of the bond equals... F F/(1+i) F(1+i) F/i Answer both otherwise don't do that I will Dounvote