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Y is the present value random variable of a whole life annuity-due on (x). Prove: E[Y] = EokP: ( +) %3D k%3D0 k+1 with

Y is the present value random variable of a whole life annuity-due on (x). Prove: E[Y] = EokP: ( +) %3D k%3D0 k+1 with the convention that n = 0, (Hint: Start from the definition E[Y] =Eik-1|9 Uk, where uk is a function of some standard actuarial 100 %3D symbol.)

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