Question

A 13.05-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 120.2 and modified duration of 11.91 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—-11.65 years—-but considerably higher convexity of 280.2.

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

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

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.)

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

Answer 1

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FIRST OPTIONS ANSWERS ARE NEGATIVE BUT IT WAS ALWAYS MENTIONED TO WRITE NUMBERS IN POSITIVE, NEGATIVE SIGN NOT TO BE SHOWN, SO NO SIGN IS SHOWN