a. What is the duration of a two-year bond that pays an annual coupon of 11.5 percent and has a current yield to maturity of 13.5 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) b. What is the duration of a two-year zero-coupon bond that is yielding 11.5 percent? Use $1,000 as the face value. a. Duration b. Duration years years

a. What is the duration of a two-year bond that pays an annual coupon of 11.5 percent and has a current yield to maturity of 13.5 percent? Use $1,000 as the face value. (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616)) b. What is the duration of a two-year zero-coupon bond that is yielding 11.5 percent? Use $1,000 as the face value. a. Duration b. Duration years years

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You find a bond with 27 years until maturity that has a coupon rate of 9 percent and a yield to maturity of 10 percent. What is the Macaulay duration? The modified duration? Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
A bond sells for $894.17 and has a coupon rate of 6.20 percent. If the bond has 13 years until maturity, what is the yield to maturity of the bond? Assume semiannual compounding. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Suppose you want to figure out the relationship between duration and maturity, so you consider the following three T-Bonds. You compute a. The duration of a two-year Treasury bond with a 10 percent semiannual coupon selling at par b. The duration of a three-year Treasury bond with a 10 percent semiannual coupon selling at par c. The duration of a four-year Treasury bond with a 10 percent semiannual coupon selling at par
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.
D4) Suppose that there is 30-year coupon bond with par value of $100 and Macaulay duration of 20.56. The coupon rate is unknown. Currently, the bond is traded at $90 and the yield is flat at 20% pa. Yield to maturity is an annualized simple interest rate compounded annually. If the bond yield increases by 50 basis points, what is the approximation of the percentage capital gain or loss? Please choose the correct range for the percentage capital gain/loss, i.e., if it is -3.5%, please select “A value between -3% and -4%” A value between -9% and -10% A value between -8% and -9% None of the other answers are correct. A value between -7% and -8% A value between -10% and -11%
Excel Activity: Bond Valuation Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following bonds: • Bond A has a 10% annual coupon, matures in 12 years, and has a $1,000 face value. • Bond B has an 8% annual coupon, matures in 12 years, and has a $1,000 face value. • Bond C has a 12% annual coupon, matures in 12 years, and has a $1,000 face value. Each bond has a yield to maturity of 10%.
13. Consider a coupon bond with coupon payment=4.25, M=100, and n=2. Suppose ?1 = 4% and ?2 = 4.24%. Consider a forward contract for the delivery of the coupon bond in one period from today. Calculate the forward price using the following two approaches: 1) use the forward rate to price the forward contract; 2) use the cost of carry approach: spot-forward parity adjusted for the coupons.
4. (i) A forward contract written on a bond has 10 months remaining until maturity. The face value of the bond is $1000, and it pays a 7% coupon every 6 months. The final coupon is due immediately prior to the maturity of the forward. The relevant riskless rate of interest is 5%. If the bond is trading at $1025, calculate the theoretical forward price and initial value of the forward contract and explain the forward pricing relationship. (ii) Provide numerical examples of arbitrage strategies for situations where a broker offers a price above, and below the theoretical forward price.
A Treasury bond that settles on October 18, 2019, matures on March 30, 2038. The coupon rate is 6.20 percent, and the bond has a yield to maturity of 5.71 percent. What are the Macaulay duration and modified duration? (Use the duration functions in Excel to solve the problem. Do not round intermediate calculations. Round your answers to 4 decimal places.) Macaulay duration Modified duration
Assume you have treasury note .The contract price is 124 and you can deliver either bond A with conversion of 0.9 and price of 110 or a bond with conversion of 0.7 and price is 100. What will be the loss gain of the buyer? ( 1.77 -1.77 9.3 -9.3
If the YTM on a bond is 11.1 %, what will be the periodic rate assuming the bond is paying coupons semi-annually? (Write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1,234).
What is the Macaulay duration of a bond with a coupon of 5.8 percent, eleven years to maturity, and a current price of $1,060.10? What is the modified duration? (Do not round intermediate calculations. Round your answers to 3 decimal places.)

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