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 modified duration-11.79 years-but considerably higher convexity of 231.2. a. Suppose the yield to maturity on both bonds increases to 9%.

1. What will be the actual percentage capital loss on each bond?
2. 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.)

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? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Coupon Bond Zero-Coupon Bond % % Actual loss Predicted loss % % Zero-Coupon Bond % Coupon Bond % Actual gain Predicted gain % %