A bond pays zero coupons and has face value 10001000. The bond has exactly two years until it matures and has a yield to maturity of 6.4%6.4%. Assume that the price of this bond equals 883.32883.32. What is the modified duration of this bond?

A bond pays zero coupons and has face value 10001000. The bond has exactly two years until it matures and has a yield to maturity of 6.4%6.4%. Assume that the price of this bond equals 883.32883.32. What is the modified duration of this bond?

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 8MC: Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for...

See similar textbooks

Similar questions

Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual payments); the yield is 5% per annum with semiannual compounding.(a) What is the bond’s price?(b) What is the bond’s duration?(c) Suppose that the bond price is the one you computed in part (a) and that the 6M, 12M, and 18M zero rates are respectively 4.2%, 4.8% and 5.6% per annum. What is the 2Y zero rate assuming all rates are quoted with semiannual compounding?
A bond currently sells for 1,200, which gives it a yield to maturity of 8%. Suppose that if the yield increases by 25 basis points, the price of the bond declines to 1,155. Based on this price change, what is the duration of the bond? How do i calculate this?
Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29
A 30-year maturity bond making annual coupon payments with a coupon rate of 11.00% has a ation of 13.50 years. The bond currently sells at a yield to maturity of 5.75%. Ducation a. Find the exact dollar price of the bond if its yield to maturity falls to 4.75%. What is the % change in price? b. Assume that you need to make a quick approximation using the duration rule. What is the % change in price as approximated by the duration rule when the yield to maturity falls to 4.75%? c. Does the duration-rule provide a good approximation of the % price change in this case? Why or why not?
Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. 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 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. 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? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…
Suppose a 10-year, $1,000 bond with a coupon rate of 8.5% and semiannual coupons is trading for $1,034.27. 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 to 9.4% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is %. (Round to two decimal places.)
A bond has a Macaulay duration of 12.00 and is priced to yield 10.0%. If interest rates go up so that the yield goes to 10.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 9.5%, what will be the bond's percentage change in price? Comment on your findings.
A zero-coupon bond has a price of $350 with a face value of $1,000 and 9.55 years to maturity. What is the duration of this bond?
A 10-year bond pays an annual coupon, its YTM is 10%, and it currently trades at a par value. Which of the following statement is correct? Select one: a. The bond's coupon rate is less than 10%. b. Th bond's coupon rate is equal to 10%. c. If the yield to maturity increases, then the bond's price will increase. d. The bond's current yield is less than 10%.
Suppose a bond that has semiannual coupons is selling for $10,500. It has 7 years left until maturity. Its par value is $10,000 and its YTM is 7%. What is this bond’s annual coupon rate? (Show Work)
Suppose a 10-year, $1,000 bond with a coupon rate of 8.7% and semiannual coupons is trading for $1,034.73. 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 to 9.8% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is 8.18%. (Round to two decimal places.) b. If the bond's yield to maturity changes to 9.8% APR, what will be the bond's price? The new price for the bond is: (Round to the nearest cent.)
Suppose a 10-year, $1,000 bond with a coupon rate of 8.8% and semiannual coupons is trading for $1,034.19. 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 to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is ☐ %. (Round to two decimal places.)