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A 14.95-year maturity zero-coupon bond selling at a yield to maturity of 7% (effective annual yield) has convexity of 140.2 and modified duration of 13.65
A 14.95-year maturity zero-coupon bond selling at a yield to maturity of 7% (effective annual yield) has convexity of 140.2 and modified duration of 13.65 years. A 40-year maturity 5% coupon bond making annual coupon payments also selling at a yield to maturity of 7% has nearly identical modified duration -13.55 years-but considerably higher convexity of 320.5. a. Suppose the yield to maturity on both bonds increases to 8%. 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.) Zero-Coupon Bond Coupon Bond b. Suppose the yield to maturity on both bonds decreases to 6%. 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.)
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