A 20-year, 7.500% annual payment bond settles on a coupon date. The bond's yield to maturity is 9.400%. (a) What is the bonds Macauley Duration (show your work, like you did in problem (16) above.) (b) What is the bonds approximate modified duration? Use yield changes of +/- 20 bps around the yield to maturity for your calculations. (a) Calculate the approximate convexity for the bond. (b) Calculate the change in the full bond price for a 40 bps change in yield.