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A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 161.9 and modified duration of 12.27
A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 161.9 and modified duration of 12.27 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 duration-12.30 years-but considerably higher convexity of 272.9. 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.) 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.)
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