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You are given An individual age 75 buys a 4 year endowment insurance. The insured will receive $500 at the end of year of death

  1. You are given
    1. An individual age 75 buys a 4 year endowment insurance.
    2. The insured will receive $500 at the end of year of death if they die during the term, or $1200 if they survive the term.
    3. qx = 0.05 for all t,x
    4. Level annual premiums of P are paid at the beginning of each year, for the first two years, while the insured is alive
    5. i = 3%

Calculate the annual premium P.

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