A 30-year maturity bond making annual coupon payments with a coupon rate of 12.00% has a duration of 1300 years and convexity of 183.60. The bond currently sells at a yield to maturity of 6.25%. a. Find the exact price of the bond if its yield to maturity falls to 5.25%. Bond price (round to nearest cent) b. Assume that you need to make a quick approximation using the duration rule (instead of the exact calculation in part a above). What price would be predicted by the duration rule? Predicted price (round to nearest cent) c. Assume that you need to make a quick approximation using the duration-with-convexity rule (instead of the exact calculation in part a above). What price would be predicted by the duration-with-convexity rule? Predicted price (round to nearest cent) d-1. What is the percent error for each rule? [Hint: percent error is the deviation from the exact price, divided by the exact price. A smaller percent error indicates more precise approximation.] Enter your answer as a positive value in percent, and round to 3 decimal places, eg, 0.123%) "Duration Rulepercent error "Duration-with-Convexity Rule" percent error