For a disability insurance claim: (i) The claimant will receive payments at the rate of 20,000 per year, payable continuously as long as she remains disabled. (ii) The length of the payment period in years is a random variable with the gamma distribution with parameters a= 2 and 0 = 1. That is f(t) = text (iii) Payments begin

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For a disability insurance claim: (i) The claimant will receive payments at the rate of 20,000 per year, payable continuously as long as she remains disabled. (ii) The length of the payment period in years is a random variable with the gamma distribution with parameters a= 2 and 0 = 1. That is f(t) = text (iii) Payments begin immediately. (iv) 8 = 0.05 Calculate the actuarial present value of the disability payments at the time of disability.

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