A 12.75-year maturity zero-coupon bond selling at a yield to maturity of 8% (eff

Question

A 12.75-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 150.3 and modified duration of 11.81 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical duration—11.79 years—but considerably higher convexity of 231.2.

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. Repeat part (a), but this time assume the yield to maturity decreases to 7%.

Explanation / Answer

A 30-year maturity 6% higher convexity of 231.2

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