Question
An 8.5-year maturity zero-coupon bond selling at a yield to maturity of 8.5% (effective annual yield) has convexity of 162.3 and modified duration of 7.56
An 8.5-year maturity zero-coupon bond selling at a yield to maturity of 8.5% (effective annual yield) has convexity of 162.3 and modified duration of 7.56 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8.5% has nearly identical duration7.54 yearsbut considerably higher convexity of 237.1.
a. Suppose the yield to maturity on both bonds increases to 9.5%. 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 7.5%. 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.)
Zero Coupon Coupon Bond Bond Actual Predicted
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