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- Suppose a 10-year, $ 1 comma 000 bond with an 8.1% coupon rate and semi - annual coupons is trading for a price of $1 comma 034.81. a. What is the bond's yield to maturity (expressed as an APR with semi - annual compounding)? b. If the bond's yield to maturity changes to 9.7% APR, what will the bond's price be?Question 1. Duration and Banking Consider a 5-year bond with annual coupon payments. The bond has a face value (prin- cipal) of $100 and sells for $95. Its coupon rate is 3%. (The coupon rate is the ratio between the coupon value and the face value). The face value is paid at the maturity year in addition to the last coupon payment. 1. Calculate the bond's yield to maturity (YTM) and duration using its YTM. 2. Suppose the bond's YTM changes in the same way as a 5-year T-bill interest rate. Use the bond's modified duration to evaluate the relative change in the 5-year bond's value if the interest rate on 5-year T-bills falls by one basis point, that is, by 0.0001. This part was extracted from the balance sheet of the First Bank of Australia: Assets (Billion AUD) Bond 80 Liabilities (Billion AUD) Fixed-rate liabilities 60 where "Bond" here refers to the bond we specified above and the fixed-rate liabilities (banks future payment obligations) have an average duration of 4 years and YTM of…At what price a bond is trading, assuming that the bond's coupon rate is 10% per annum and the current interest rate is 10%
- 8. Calculate the following on a bond that has a $1,000 Par Value, matures in exactly one (1) year, has a Coupon Rate of 4.75% with Coupon Payments made annually, and current market value is $985.00; b. The Yield-to-Maturity (YTM)Suppose a 10% 3years bond with a FV of $1000 Spot rates r1= 10%, r2= 12%, r3=13%. Calculate the forward rate required to calculate the bond price using the forward rate 1f2An 8%, 15-year bond has a yield-to- maturity of 10% and a modified duration of 8.05 years. If the market yield changes by 25 basis points, how much of the change in the bond's price will be due to duration?
- Suppose a 10 -year,$1,000bond with a(n)9%coupon rate and semiannual coupons is trading for a price of$946.34. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to9%APR, what will the bond's price be?6. Suppose that you invest in a 10-year, semi-annual coupon, $1,000 par value bond when it is first issued. The coupon rate and yield to maturity are equal both 8 percent. Immediately after purchase, the annual yield to maturity for the bond falls to 7 percent. First calculate then use duration to determine the percentage gain (loss) on the sale of the bond.Question 1: Consider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a $1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration is defined as a weighted average of the maturities of the cash payments. Suppose the weight assigned to the maturity of 1 year is W. A: Duration=2.28 and W=7.77% B: Duration=3.56 and W=20.5% C: Duration=3.56 and W=23.1% D: Duration=3.56 and W=7.77%
- Bond Durations: (A) Compute the duration and modified duration of a 7-year bond that makes annual payments with a coupon rate of 10% and a YTM of 9%. (B) If interest rates FALL by 100 basis points, what is the dollar and percentage change in price? (C) If interest rates RISE by 100 basis points, what is the dollar and percentage change in price?Q.consider a bond that has a coupon rate of 7.5 percent semi-annually,5 years to maturity, and is currently priced to yield 7.5%,calculate Macaulay duration.Refer to Table 10-2. a. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. Using column 2, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year time period. b. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. Using column 3, indicate what the bond price will be with a 10-year, a 20-year, and a 25-year period. c. Assume the interest rate in the market (yield to maturity) goes down to 8 percent for the 10 percent bonds. If interest rates in the market are going down, which bond would you choose to own? multiple choice 1 10 Years 20 Years 25 Years d. Assume the interest rate in the market (yield to maturity) goes up to 12 percent for the 10 percent bonds. If interest rates in the market are going up, which bond would you choose to own? multiple choice 2 10 Years 20 Years 25 Years