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Mary aged 30, purchases a deferred whole life annuity with annuity payments of R, made on each birthday for the rest of her life, beginning

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Mary aged 30, purchases a deferred whole life annuity with annuity payments of R, made on each birthday for the rest of her life, beginning at age 45. You are given: Annual benefit premiums of 1000 are paid for 10 years. Mary demands that her premium to be returned with interest at the valuation rate if she dies before receiving her first payment. . i = 0.04. . zo = 19.3040, 35 = 18.4586, 245 17.2731, 465 13.4527 Calculate the annual payment R and the benefit reserve at the end of year 35. (12 marks)

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