A 13.35-year maturity zero-coupon bond selling at a yield to maturity of 8% (eff

Question

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 duration—-12.15 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?

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?

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?

Explanation / Answer

interest rate increases value of bond decreases vice versa

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