A 13.35-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has
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A 13.35-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.8 and modified duration of 12.31 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration12.15 years--but considerably higher convexity of 231.7. a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? 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 % Actual loss % % Predicted loss b. Suppose the yield to maturity on both bonds decreases to 7%. What will be the actual percentage capital gain on each bond? 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 % Actual gain Predicted gain %
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