1. A fund is established for the benefit of 500 workers all age 35 with independent future life- times. When they reach age 65, the fund will be dissolved and distributed to the survivors. The fund will earn interest at a rate of 5% per year. The initial fund balance, F, is determined so that the probability that the fund will pay at least 5000 to each survivor is 90%, using the normal approximation. Mortality follows the Standard Ultimate Life Table. Calculate F. (Round your answer to a multiple of 1,000.) (A) 457,000 (B) 482,000 (C) 507,000 (D) 532,000 (E) 557,000

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Chapter1: Combinatorial Analysis
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1. A fund is established for the benefit of 500 workers all age 35 with independent future life-
times. When they reach age 65, the fund will be dissolved and distributed to the survivors.
The fund will earn interest at a rate of 5% per year.
The initial fund balance, F, is determined so that the probability that the fund will pay at least
5000 to each survivor is 90%, using the normal approximation.
Mortality follows the Standard Ultimate Life Table.
Calculate F. (Round your answer to a multiple of 1,000.)
(A) 457,000
(B) 482,000
(C) 507,000
(D) 532,000
(E) 557,000
Transcribed Image Text:1. A fund is established for the benefit of 500 workers all age 35 with independent future life- times. When they reach age 65, the fund will be dissolved and distributed to the survivors. The fund will earn interest at a rate of 5% per year. The initial fund balance, F, is determined so that the probability that the fund will pay at least 5000 to each survivor is 90%, using the normal approximation. Mortality follows the Standard Ultimate Life Table. Calculate F. (Round your answer to a multiple of 1,000.) (A) 457,000 (B) 482,000 (C) 507,000 (D) 532,000 (E) 557,000
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