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Consider the following bonds:
Bond | Coupon Rate (annual payments) | Maturity (years) |
A | 0% | |
B | 0% | |
C | % | |
D | % |
a. What is the percentage change in the price of each bond if its yield to maturity falls from % to %?
b. Which of the bonds AD is most sensitive to a 1% drop in interest rates from % to % and why? Which bond is least sensitive? Provide an intuitive explanation for your answer.
Note: Assume annual compounding.
Which of the bonds A through D is most sensitive to a 1% drop in interest rates, from % to %, and why?
Answer: Bond A, because it has the lowest coupon and longest maturity.
Which of the bonds A through D is least sensitive to a 1% drop in interest rates, from % to %, and why?
answer: Bond D, because it has the highest coupon and shortest maturity