A 30-year maturity bond making annual coupon payments with a coupon rate of 7% has duration of 15.16 years and convexity of 315.56. The bond currently sells at a yield to maturity of 5%. a. Find the price of the bond if its yield to maturity falls to 4%. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Price of the bond b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Predicted new price (duration rule) c. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Predicted new price (duration-with-convexity rule) d-1. What is the percent error for each rule? (Negative answers should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Duration Rule Duration Bule Duration-with- Convexity Rule Percentage error d-2. What do you conclude about the accuracy of the two rules? The duration-with-convexity rule provides more accurate approximations to the true change in price. The duration rule provides more accurate approximations to the true change in price. e-1. Find the price of the bond if its yield to maturity increases to 6%. (Do not round intermediate calculations. Round your answers 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 answers to 2 decimal places.) Predicted new price (duration rule) | e-3. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Predicted new price (duration-with-convexity rule) e-4. What is the percent error for each rule? (Negative answers should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Duration Rule Duration-with- Convexity Rule Percentage error e-5. Are your conclusions about the accuracy of the two rules consistent with parts (a) (d)? Yes O No