Each member of a group of 200 independent lives aged x will receive a life annuity- due of $100 per year paid from a trust fund. You are given that 13.01704 at i = 4%, 9.59176 at i = 8.16% Let Y denote the present value random variable for the total annuity payments for all the group members. äx = Using a normal approximation to the distribution of Y, calculate the amount that should be deposited in the trust fund to be 90% certain that the funds will be sufficient to pay the benefits. (i = 4%).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Each member of a group of 200 independent lives aged x will receive a life annuity-
due of $100 per year paid from a trust fund. You are given that
13.01704
at i = 4%,
9.59176
at i = 8.16%
Let Y denote the present value random variable for the total annuity payments for all the group
members.
äx =
Using a normal approximation to the distribution of Y, calculate the amount that should be
deposited in the trust fund to be 90% certain that the funds will be sufficient to pay the benefits.
(i = 4%).
Transcribed Image Text:Each member of a group of 200 independent lives aged x will receive a life annuity- due of $100 per year paid from a trust fund. You are given that 13.01704 at i = 4%, 9.59176 at i = 8.16% Let Y denote the present value random variable for the total annuity payments for all the group members. äx = Using a normal approximation to the distribution of Y, calculate the amount that should be deposited in the trust fund to be 90% certain that the funds will be sufficient to pay the benefits. (i = 4%).
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