Question
A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 10.58 years and convexity of 162.6. The bond
A 30-year maturity bond making annual coupon payments with a coupon rate of 15.5% has duration of 10.58 years and convexity of 162.6. The bond currently sells at a yield to maturity of 9%. |
a. | Find the price of the bond if its yield to maturity falls to 8% or rises to 10%. (Do not round intermediate calculations. Round your answers to 2 decimal places.) |
YTM | Price |
8% | $ |
10% | $ |
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 |
8% | $ | $ |
10% | $ | $ |
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 |
8% | % | % |
10% | % | % |
d. | What do you conclude about the accuracy of the two rules? |
|
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