Question 3: A bond with a remaining maturity of exactly 4 years pays 6.0% annual coupon. Its face value is $1,000. The current yield-to-maturity of the bond is 5.5%. A. Calculate the current price of the bond. B. Using the timeline method, calculate the modified duration of the bond. C. Using just the modified duration, what is the expected change in the price of the bond when YTM is 5.70%?
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- Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?Current Yield with Semiannual Payments A bond that matures in 7 years sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883%. The bond pays coupons semiannually. What is the bond’s current yield?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…
- Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. a. Using the bond pricing formula, calculate the price of the bond and duration. ABC b. Calculate the convexity of the bond. c. Using the calculations from above, what is the "approximated bond price change" using duration and convexity, if the interest rate increases by 1%? d. What is the actual change in the bond price if the interest rate increases by 1%? e. Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? f. Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {Question 2A. A bond has a face value of $2000, a coupon rate of 6% and matures in 10years’ time. If its current yield to maturity is 8% what is the current price ofthe bond? If the yield falls to 4% determine the bond price. What do theseresults indicate about the relationship between the price of a bond and itsyield to maturity? B. You are asked to put a value on a bond which promises eight annual couponpayments of £70 and will repay its face value of £1000 at the end of eightyears. You observe that other similar bonds have yields to maturity of 9 percent. How much is this bond worth? You are offered the bond for a priceof £1030.44. What yield to maturity does this represent? C. Explain in detail the trade-off model of capital structure. In light of the currentglobal financial challenge, discuss which elements of the model areexpected to become most prevalent?
- Question 2 : Consider a bond with: - 3-year (remaining) maturity - Par value of 1000 - 5% coupon, paid annually. If the bonds are currently trading at a price of 950, what is their yield-to-maturity? If the yield-to-maturity required by the investors increases by 1% what is the new price of the bond? Compute the duration of the bond Use the bond duration computed in c) to estimate its change in price following a 1% change in the yield-to-maturity and compare the actual change computed in b).Question A .Consider a 2-year, risk-free bond with a coupon rate of 6% (annual coupons) and a face value of $1,000. If the yield on the above bond is 6%: a. What is the Macaulay duration of this bond? b. If the yield increases to 7% immediately, what does the duration approximation predict will be the percentage change in the bond price? c. If the yield decreases to 5% instead, what is the approximate percentage change in the bond price implied by the bond’s duration? d. After receiving the first coupon payment in year 1, the yield increases to 7% and you decide to sell the bond. What is your annualized HPR? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this linea and b please
- Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. Using the bond pricing formula, calculate the price of the bond and duration. Calculate the convexity of the bond. Using the calculations from above, what is the “approximated bond price change” using duration and convexity, if the interest rate increases by 1%? What is the actual change in the bond price if the interest rate increases by 1%? Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?Give typing answer with explanation and conclusionAssume coupons are paid annually. Here are the prices of three bonds with 10-year maturities. Assume face value is $100. Bond Coupon (%) 2 Price (%) 48 80.57 97.19 134.92 a. What is the yield to maturity of each bond? b. What is the duration of each bond? Complete this question by entering your answers in the tabs below. Required A Required B What is the yield to maturity of each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Bond Coupon YTM (%) 2 4 6.00 % 7.42% 8 7.01 %