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Which of the following bonds will be most sensitive to a change in interest rates if all bonds have the same initial yield to maturity?

Which of the following bonds will be most sensitive to a change in interest rates if all bonds have the same initial yield to maturity?

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a ten-year bond with a $1,000 face value whose coupon rate is 7.4% APR paid semiannually

a ten-year bond with a $1,000 face value whose coupon rate is 5.8% APR paid semiannually

a 20-year bond with a $1,000 face value whose coupon rate is 7.4% APR paid semiannually

a 20-year bond with a $1,000 face value whose coupon rate is 5.8% APR paid semiannually

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