1. Let be the coupon rate per period and y be the yield per period. There are m periods per year (say, m -4 for quarterly coupon payments), and let n be the number of periods remaining until maturity. (1) Show that the duration D is given by Here, the yield per year is given by my. (2) Let T denote the time to maturity and m be fixed. Show that, as T-+ oo, we obtain (3) On the other hand, with fixed T but taking m x (corresponding to continuous coupon rate), show that 1. Let be the coupon rate per period and y be the yield per period. There are m periods per year (say, m -4 for quarterly coupon payments), and let n be the number of periods remaining until maturity. (1) Show that the duration D is given by Here, the yield per year is given by my. (2) Let T denote the time to maturity and m be fixed. Show that, as T-+ oo, we obtain (3) On the other hand, with fixed T but taking m x (corresponding to continuous coupon rate), show that