2. An insurer issues single-premium whole life insurance policies of 250,000, payable at the end of the month of death, to a life aged 35. Initial expenses are 30% of the single premium. Assume mortality follows the SUSM Life Table, and i = 0.05. Using the normal approximation and uniform distribution of death assumption, calculate the single premium via the portfolio percentile premium principle, so that the probability the loss-at-issue on the portfolio is negative is 90%. Assume a portfolio of 7,500 identical, independent policies. 2. An insurer issues single-premium whole life insurance policies of 250,000, payable at the end of the month of death, to a life aged 35. Initial expenses are 30% of the single premium. Assume mortality follows the SUSM Life Table, and i = 0.05. Using the normal approximation and uniform distribution of death assumption, calculate the single premium via the portfolio percentile premium principle, so that the probability the loss-at-issue on the portfolio is negative is 90%. Assume a portfolio of 7,500 identical, independent policies