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In a double decrement model with two independent decrements (causes), assume the following distributions for the exit times due to decrements 1 and 2 over one year from age x to age x +1: . Decrement 1: , px =1-tq, (uniform exit), 0 0 to derive an approximate formula for the expected present value EPV, of $1 under the policy payable to a policyholder currently aged x within one year at annual interest rate i in terms of x, qx, and 8 = log(1+ i) . Then calculate an approximate EPV of $10,000 payable to a policyholder of current age 55 within next two years, using qx in part (b) above, and i = 0.04. [5]