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. 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 b. What price would be predicted by the duration rule? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Predicted price 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