a. Consider a 12 year, 12% annual coupon bond with a $1,000 face value, a yield to maturity of 10%, a duration of 7.24 years, and convexity of 63.27. If interest rates rise by 1%, by what percentage would you expect the price to change using convexity? b. Consider a 20 year, 6% semi-annual coupon bond with a $1,000 face value, a yield to maturity of 8%, a duration of 10.92 years, and convexity of 162.32. If interest rates fall by 3%, by what percentage would you expect the price to change using convexity?