A newly issued bond has a maturity of 10 years and pays a 7.7% coupon rate (with coupon payments coming once annually). The bond sells at par value.
a. What are the convexity and the duration of the bond? Use the formula for convexity in footnote 7. (Round your answers to 3 decimal places.)
Convexity - 61.810
Duration - 7.330 Years
b. Find the actual price of the bond assuming that
its yield to maturity immediately increases from 7.7% to 8.7% (with
maturity still 10 years). Assume a par value of 100. (Round
your answer to 2 decimal places.)
Actual Price of bond - $934.97
c. What price would be predicted by the modified duration rule ΔPP=−D*Δy?ΔPP=−D*Δy? What is the percentage error of that rule? (Negative answers should be indicated by a minus sign. Round your answers to 2 decimal places.)
Percentage Price Change -
Percentage Error -
d. What price would be predicted by the modified duration-with-convexity rule ΔPP=−D*Δy+12×Convexity×(Δy)2?ΔPP=−D*Δy+12×Convexity×(Δy)2? What is the percentage error of that rule? (Negative answers should be indicated by a minus sign. Round your answers to 2 decimal places.)
Percentage Price Change -
Percentage Error -
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