Please show all hand written work with all the steps shown. This is a course in Life Contingency. I will give a thumbs-up for a clear and concise solution. Thanks in advance!

1. For a fully discrete 4-year life insurance policy on (50) you are given: (a) All cash flows are annual. (b) The annual gross premium is 100 for the first two years and 120 thereafter. (c) Profits and premiums are discounted at an annual effective rate of r. (d) The profit signature: Time in years 0 1 2 3 4 Profit -275 -76 122 250 218 (e) Mortality rates: 50 51 52 9.6 0.00592 0.00642 0.00697 (f) The profit margin is 11.37%. C Calculater 1. For a fully discrete 4-year life insurance policy on (50) you are given: (a) All cash flows are annual. (b) The annual gross premium is 100 for the first two years and 120 thereafter. (c) Profits and premiums are discounted at an annual effective rate of r. (d) The profit signature: Time in years 0 1 2 3 4 Profit -275 -76 122 250 218 (e) Mortality rates: 50 51 52 9.6 0.00592 0.00642 0.00697 (f) The profit margin is 11.37%. C Calculater