Mathematics · Financial Mathematics
An investor is considering Bond X and Bond Y, both with a 1,000 currency unit face value and 5 years to maturity. Bond X has a 5% coupon and Bond Y has a 12% coupon. If market interest rates suddenly rise by 1%, which bond's price will be more sensitive to this change and why?
- 1Neither bond price will change because the coupon rates are fixed at issuance.
- 2Both bonds will react identically as they have the same maturity date.
- 3Bond X will be more sensitive because lower coupon bonds have higher duration.✓
- 4Bond Y will be more sensitive because of the higher coupon payments.
Correct answer
Bond X will be more sensitive because lower coupon bonds have higher duration.
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