1. Given the life table below, and a constant force of interest 8 = 5%, compute the following. (Note that Z means a present value random variable for a single insurance payout as appropriate to the notation, like in the lectures) a) As 5: c) A5:' (that is, Es) d) A|A e) Var (25) f) Var(2) b) A A. 1 5:4 0 1 2 3 4 5 6 7 8 9 10 11 12 100,000 97,000 94,000 89,000 82,000 74,000 65,000 55,000 43,000 34,000 22,000 10,000 0 1. Given the life table below, and a constant force of interest 8 = 5%, compute the following. (Note that Z means a present value random variable for a single insurance payout as appropriate to the notation, like in the lectures) a) As 5: c) A5:' (that is, Es) d) A|A e) Var (25) f) Var(2) b) A A. 1 5:4 0 1 2 3 4 5 6 7 8 9 10 11 12 100,000 97,000 94,000 89,000 82,000 74,000 65,000 55,000 43,000 34,000 22,000 10,000 0