Problem 8: Consider the following life-table with only six different ages. Assume l60 Assume that the rate of interest is 9%. r Age range dezA. 0 0-0.991000 60 4.2 0.704 1 1-1.99 940 80 3.436 0.749 22-2.99860 100 2.709 0.795 3 3-3.99 760 120 20.844 4 4-4.99 640 140 1.281 0.896 5 5-5.99 500 500 0.5 0.958 (a) Find the present value of a life age 0 of a term insurance with n-3 and pay off $1000 (b) Find the present value for a life aged 2, of a term annuity due of $700 per year up to age 5. Do the same for a 3-year endowment and 3-year annuity immediate (c) Give details calculation as to how e2 and A2 in the table are obtained Problem 8: Consider the following life-table with only six different ages. Assume l60 Assume that the rate of interest is 9%. r Age range dezA. 0 0-0.991000 60 4.2 0.704 1 1-1.99 940 80 3.436 0.749 22-2.99860 100 2.709 0.795 3 3-3.99 760 120 20.844 4 4-4.99 640 140 1.281 0.896 5 5-5.99 500 500 0.5 0.958 (a) Find the present value of a life age 0 of a term insurance with n-3 and pay off $1000 (b) Find the present value for a life aged 2, of a term annuity due of $700 per year up to age 5. Do the same for a 3-year endowment and 3-year annuity immediate (c) Give details calculation as to how e2 and A2 in the table are obtained