For a 20-year term insurance of 100,000 on (45), you are given the following for calculating premium and reserves: (i) Benefits are payable at the end of the year of death. (ii) Premiums are payable annually. (iii) Mortality follows the Illustrative Life Table, with uniform distribution of deaths between integral ages. (iv) 1' = 0.06. You are given the following pricing assumptions: (v) Pre-contract expenses of $560. (vi) Renewal expenses of 3% of the premium from year 2. (vii) Mortality follows the illustrative life table at 5%. (viii) Interest for profit testing is 6% for each yea r. a. Analyze the cashflows from this policy at discrete(year|y) intervals throughout the term of the policy. [find only the profit vector, do not find the profit signature] b. Is this a profitable business