A 14.05-year maturity zero-coupon bond selling at a yield to maturity of 7% (eff
ID: 2764247 • Letter: A
Question
A 14.05-year maturity zero-coupon bond selling at a yield to maturity of 7% (effective annual yield) has convexity of 110.5 and modified duration of 12.55 years. A 30-year maturity 5% coupon bond making annual coupon payments also selling at a yield to maturity of 7% has nearly identical modified duration—-12.65 years—-but considerably higher convexity of 300.5.
a. Suppose the yield to maturity on both bonds increases to 8%. What will be the actual percentage capital loss on each bond? What percentage capital loss would be predicted by the duration-with-convexity rule?
Suppose the yield to maturity on both bonds decreases to 6%. What will be the actual percentage capital gain on each bond? What percentage capital gain would be predicted by the duration-with-convexity rule?
b.Suppose the yield to maturity on both bonds decreases to 6%. What will be the actual percentage capital gain on each bond? What percentage capital gain would be predicted by the duration-with-convexity rule?
Explanation / Answer
Answer :-
Actual Loss = [ 110.5 - 300.5 ] / 300.5
= 190 / 300.5
= .632
= 6.32 %
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