11. A bond has a $1,000 par value and an 8 percent coupon rate paid annually. The bond has four years remaining to maturity and a 7 percent yield to maturity. Calculate this bond's modified duration. a. 0.59 b. 3.35 Par value = 1000 Coupon rate (2) N=4 Ⓒ 3.58 d. 4 Y=7
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- 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?9. A bond has a time-to-maturity of 8 years, a coupon rate of 5%, is currently selling for $1021.35. What is the bond's yield if it pays interest annually? A. 4.6740%. B. 5.6874%. C. 3.2654%. D, 4.0258%.P One bond has a coupon rate of 8%, another a coupon rate of 12%. Both bonds pay interest annually, have 10-year maturities, and sell at a yield to maturity of 10%. a. If their yields to maturity next year are still 10%, what is the rate of return on each bond? Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place. Rate of return Bond 1 Bond 2 b. Does the higher-coupon bond give a higher rate of return over this period? Does the higher-coupon bond give a higher rate of return over this period? No
- 24. A P1M 6% annual coupon bond has been issued at a price of 95. Its maturity is 4 years. Answer the following: a. Compute the YTM for the bond. b. Compute the Macaulay Duration for the bond using the tabular form. C. d. e. f. g. h. Compute the Modified duration. If the YTM goes to 6%, what is the new bond price? Using the YTM in letter a, what is the convexity of the bond? Assuming a 200 BP decline in YTM, what is the duration change? (use the modified duration in no. c) What is the convexity change? What is the combined effect of the duration change and convexity change? What will be the new price base on no. h? 25. There is a 25-year bond issued by the Republic of the Philippines last May 1, 2015 with a coupon of 8% paid out every May 1 and November 1. Answer the following questions: 1. Assuming that you wish to invest in this bond on May 1, 2020, when the prevailing interest rate is 9%, what is the purchase price for this bond? 2. What is the total investment for this bond if you…A bond pays annual interest. Its coupon rate is 8%. Its value at maturity is $1,000. It matures in 4 years. Its yield to maturity is currently 6%.The duration of this bond is _______ years. Group of answer choices A. 3.36 B. 3.23 C. 3.08 D. 3.59An n-year bond with semi-annual coupon payments has the following characteristics: • Par value is $100. • Redemption value is 105% of par. • Semi-annual coupon rate is r. • Semi-annual yield rate is i. • Price of the bond is $64.34. You are also given: (1+ i)-" = 0.3878 Calculate (A) 0.57 (B) 0.87 (C) 1.16 (D) 1.46 (E) 1.75
- A bond with 12 years to maturity has an annual interest payment of $65. If the bond sells for its par value, what are the bond's current yield and yield to maturity? Round your answers to two decimal places. CY: ....% YTM: .....%6. Yield to Maturity Each of the bonds shown below pays interest annually. Bond Par Value Coupon Years to Maturity Current Value A 12% 15 B 10% 10 C $1000 13% 10 D $1000 8% 4 a) Calculate the yield to maturity (YTM) for each bond. $1000 $500 $850 $560 $1200 $900 b) What relationship exists between the coupon rate and yield to maturity and the par value and market value of a bond? Explain.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 {
- 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?A three-year bond has an 8 percent coupon rate and a $1,000 face value. If the yield to maturity on the bond is 10 percent, calculate the price of the bond assuming that the bond makes semiannual coupon payments. Question 8Select one: A. $1,057.54 B. $949.24 C. $1,000.00 D. $857.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…