Question
A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 11.25 years and convexity of 182.9. The bond
A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 11.25 years and convexity of 182.9. The bond currently sells at a yield to maturity of 8%. |
a. | Find the price of the bond if its yield to maturity falls to 7% or rises to 9%. (Do not round intermediate calculations. Round your answers to 2 decimal places.) |
YTM | Price |
7% | $ |
9% | $ |
b. | What prices for the bond at these new yields would be predicted by the duration rule and the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) |
YTM | Duration Rule | Duration-with- Convexity Rule |
7% | $ | $ |
9% | $ | $ |
c. | What is the percent error for each rule? (Do not round intermediate calculations. Round "Duration Rule" to 2 decimal places and "Duration-with-Convexity Rule" to 3 decimal places.) |
Percent Error | ||
YTM | Duration Rule | Duration-with- Convexity Rule |
7% | % | % |
9% | % | % |
d. | What do you conclude about the accuracy of the two rules? |
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