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Bond A and Bond B both have 15 years to maturity and $1000 face value. The market interest rate is 8%. Bond A has coupon

Bond A and Bond B both have 15 years to maturity and $1000 face value. The market interest rate is 8%. Bond A has coupon rate of 9% and bond B has coupon rate of 7%. If interest rate goes up by 1%, the price of A will change by a bigger percentage than that of B. True or False? Show your work.

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