Which of the following bonds will be most sensitive to a change in interest rate

Question

Which of the following bonds will be most sensitive to a change in interest rates?

A) a ten-year bond with a $2000 face value whose yield to maturity is 5.8% and coupon rate is 5.8% APR paid semiannually

B) a 15-year bond with a $5000 face value whose yield to maturity is 7.4% and coupon rate is 6.2% APR paid annually

C) a 20-year bond with a $3000 face value whose yield to maturity is 6.0% and coupon rate is 5.4% APR paid semiannually

D) a 30-year bond with a $1000 face value whose yield to maturity is 5.5% and coupon rate is 6.4% APR paid annually

Explanation / Answer

Which of the following bonds will be most sensitive to a change in interest rates?

A) a ten-year bond with a $2000 face value whose yield to maturity is 5.8% and coupon rate is 5.8% APR paid semiannually

B) a 15-year bond with a $5000 face value whose yield to maturity is 7.4% and coupon rate is 6.2% APR paid annually

C) a 20-year bond with a $3000 face value whose yield to maturity is 6.0% and coupon rate is 5.4% APR paid semiannually

D) a 30-year bond with a $1000 face value whose yield to maturity is 5.5% and coupon rate is 6.4% APR paid annually

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