Question
A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has duration of 11.54 years and convexity of 192.4. The bond
A 30-year maturity bond making annual coupon payments with a coupon rate of 12% has duration of 11.54 years and convexity of 192.4. The bond currently sells at a yield to maturity of 8%.
a. What price would be predicted by the duration rule, if its yield to maturity falls to 7%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
b. What price would be predicted by the duration-with-convexity rule, if its yield to maturity falls to 7%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
c-1. What is the percent error for each rule if its yield to maturity falls to 7%? (Enter your answers as positive values. Do not round intermediate calculations. Round "Duration Rule" to 2 decimal places and "Duration-with-Convexity Rule" to 3 decimal places.)
d-1. Find the price of the bond if it's yield to maturity rises to 9%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
d-2. What price would be predicted by the duration rule, if it's yield to maturity rises to 9%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
d-3. What price would be predicted by the duration-with-convexity rule, if it's yield to maturity rises to 9%. (Do not round intermediate calculations. Round your answer to 2 decimal places.
d-4. 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.)
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