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In: Finance
A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield)...
A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 139.2 and modified duration of 11.34 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—-12.30 years—but considerably higher convexity of 272.9.
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
Actual Loss %?
Predicted loss %?
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
Actual gain %?
Predicted gain %?
Coupon Bond
Actual gain %?
Predicted gain %?
Solutions
Expert Solution
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jeff jeffy answered 2 years agoRelated Solutions
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