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5. Consider a 10-year annual premium endowment insurance with sum insured $200,000 issued to a life aged 40, Assume initial expenses of 4% of the basic sum insured and 15% of the first premium,and renewal expenses of3% ofthe second and subsequent premiums. Assume that the death benefit is payable at the end of the year of death. (a) Write down an expression for the gross future loss random variable I4 (10 pts.) (b) Calculate the gross annual premium. (8 pts.)
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