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Actuarial Science LTAM You are given [x]+t =([x]+t)/6000 t>0 x>=0 a) Find an expression for t P [x] . b) Find an expression for f

Actuarial Science LTAM

You are given [x]+t=([x]+t)/6000 t>0 x>=0

a) Find an expression for tP[x].

b) Find an expression for f[x](t).

c) Show that tP[x] meets the criteria for a valid survival model. d) Calculate the following probabilities using this model.

10P[50] 5q[65] 5|q[65]

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