A 30-year maturity bond making annual coupon payments with a coupon rate of 14.3% has duration of 11.34 years and convexity of 185.7. 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.) 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.) 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.)