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Bond X is a 3% coupon bond. Bond Y is a 9% coupon bond. Both bonds have fifteen years to maturity and make semiannual payments

Bond X is a 3% coupon bond. Bond Y is a 9% coupon bond. Both bonds have fifteen years to maturity and make semiannual payments and have a YTM of 6%, If interest rates rise by 2% what is the percentage price change of these bonds? What if rates fall by 2%? What does this tell you about the interest rate risk of lower coupon bonds?

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