Question
A 10.5-year maturity zero-coupon bond selling at a yield to maturity of 5% (effective annual yield) has convexity of 153.9 and modified duration of 9.56
A 10.5-year maturity zero-coupon bond selling at a yield to maturity of 5% (effective annual yield) has convexity of 153.9 and modified duration of 9.56 years. A 30-year maturity 9% coupon bond making annual coupon payments also selling at a yield to maturity of 5% has nearly identical duration9.54 yearsbut considerably higher convexity of 241.4.
a. Suppose the yield to maturity on both bonds increases to 6%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places.)
b. Suppose the yield to maturity on both bonds decreases to 4%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule? (Input all amounts as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places.)
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