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A five-year $50,000 endowment insurance for (60) has $1,000 underwriting expenses, 25% of the first premium is commission for the agent of record and

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A five-year $50,000 endowment insurance for (60) has $1,000 underwriting expenses, 25% of the first premium is commission for the agent of record and renewal expenses are 6% of subsequent premiums. Write the gross future loss random variable: Presuming a portfolio of 10,000 identical and independent policies, the expected loss and the variance of the loss of the portfolio are given below (note that the premium basis is not given or needed): E[L] = 10,000(38,636.19 - 3.9501P) V[L] 10,000 (50,000+ 16.78P) 2.0.00075 Find the premium that results in a 97.5% probability of profit (i.e. (0.975) = 1.96). Premium: Screenshot/Alt A

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