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?

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
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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?


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