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A 12.75-year-maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.3 and modified duration of 11.81 years.

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A 12.75-year-maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.3 and modified duration of 11.81 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration11.79 yearsbut considerably higher convexity of 231.2. Required: a. Suppose the yield to maturity on both bonds increases to 9%. i. What will be the actual percentage capital loss on each bond? ii. What percentage capital loss would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Coupon Bond Zero-Coupon Bond % i. Actual loss % ii. Predicted loss % :% b. Suppose the yield to maturity on both bonds decreases to 7%. i. What will be the actual percentage capital gain on each bond? ii. What percentage capital gain would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Zero-Coupon Bond % % Coupon Bond % i. Actual gain ii. Predicted gain %

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