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Sam aged 22 purchase a 30 year deferred whole life annuity due of 11000 per year as soon as the Sam as alive. Assume that

Sam aged 22 purchase a 30 year deferred whole life annuity due of 11000 per year as soon as the Sam as alive. Assume that annual premiums of P and 4P, determined using equivalence principle, are paid at the beginning of each year during the first 15 years and the second 15 years in the deferred period. Mortality follows ILT for i = 6%

Calculate the level premium of the first 15 years.

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