Compute Macaulay and modied durations for the following bonds:

a. a 5-year bond paying annual coupons of 3.322% and selling at par

b. an 8-year bond paying semiannual coupons with a coupon rate of 9% and a yield of 8%

c. a 10-year bond paying annual coupons of 5% with a price of $96 and a maturity value of $100