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100 individuals at age 27 each contribute an amount, , to a fund that will accumulate with interest for the next 35 years. When the

100 individuals at age 27 each contribute an amount, , to a fund that will accumulate with interest for the next 35 years. When the survivors reach age 62 the fund will be divided equally among the survivors and each survivor will then purchase a life annuity with the portion of the fund. The annuity will pay 260 at the beginning of each year for the rest of the survivors life. The first payment to each annuitant will be made immediately after the single premium payment at age 62. You are given the following information: -

62 = 9.6584

= 0.06

3527 = 0.8337

Determine , each individuals initial deposit at age 27.

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