A 3-year term insurance policy issued to a life aged 40 pays 20,000 at the end of the year of death resulting from Decrement 1 and pays 40,000 at the end of the year of death results from Decrement 2. Let f(t,3) be the forward rate for a zero-coupon bond issued at time t and maturing at time 3. You are given the following information: x t q (1) () X x x 93 40 0 41 1 42 2. (T) d) 10,000 500 9,200 510 8,370 520 d ? 300 320 330 962 | f(t,3) 0.020 0.025 0.030 (i) Find 9" and 942) for all ages. Leave your answer in four decimal places. (ii) Calculate, to the nearest integer, the benefit premium for this insurance policy. A 3-year term insurance policy issued to a life aged 40 pays 20,000 at the end of the year of death resulting from Decrement 1 and pays 40,000 at the end of the year of death results from Decrement 2. Let f(t,3) be the forward rate for a zero-coupon bond issued at time t and maturing at time 3. You are given the following information: x t q (1) () X x x 93 40 0 41 1 42 2. (T) d) 10,000 500 9,200 510 8,370 520 d ? 300 320 330 962 | f(t,3) 0.020 0.025 0.030 (i) Find 9" and 942) for all ages. Leave your answer in four decimal places. (ii) Calculate, to the nearest integer, the benefit premium for this insurance policy