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Acturial Mathematics Problem.

  1. Nov 14, 2007 #1
    1. The problem statement, all variables and given/known data
    If delta(t) = 0.2/(1+0.05*t) and s(x)= 1-(x/100) for 0<x<100, calclulate
    a. For a whole life insurance issued at age x, the actuarial present value and the variance of the present value of the benefits


    2. Relevant equations

    Present Value = Int(exp(-delta*t)) *Mu(t+x)*tPx

    3. The attempt at a solution

    I try to integrate the exponentional because the Mu and P can be pulled out but get a weird situation. Any thoughts or help?
     
  2. jcsd
  3. Nov 14, 2007 #2

    EnumaElish

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    What's tPx?
     
  4. Nov 14, 2007 #3
    s(x+t)/s(x)

    For the Mu(x+t)*tPx you should get 1/(100-x)
     
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