e-4

	Percent Error
YTM	Duration Rule	Duration-with- Convexity Rule
9%	%	%

A 30-year maturity bond making annual coupon payments with a coupon rate of 15.3% has duration of 11.27 years and convexity of 183.3. 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%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Price of the bond 2,02995 o b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted price 2,011 93o c. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted price $2028 6 d-1. What is the percent error for each rule? (Enter your answer as a positive value. Do not round intermediate calculations. Round "Duration Rule" to 2 decimal places and "Duration-with-Convexity Rule" to 3 decimal places.) Percent Error Duration-with- Convexity Rule YIM 7% Duration Rule d-2. What do you conclude about the accuracy of the two rules? The duration-with-convexity rule provides more accurate approximations to the actual change in pnce OThe duration rule provides more accurate approximations to the actual change in price e-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.) Price of the bond e-2. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted price e-3. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Predicted price e-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.)