Problem 4 (14 points) An 8% annual coupon bond has three years until maturity. A. What is the duration of the bond if the yield to maturity is 8%? (7 points) Problem 4 (continued) B. 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%. i) Find the price of the bond at 8% YTM and also if its YTM falls to 7%. ii) What price would be predicted by the duration method if the YTM falls to 7%? iii) Would the price predicted by the duration-with-convexity method, if YTM falls to 7%, be more accurate or less accurate than just the duration method