A single premium, whole life insurace policy with death benet of $100,000 is issued to (44). The benefit is payable at the moment of death. You are given: - Mortality follows the Standard Ultimate Life Table. - Deaths are uniformly distributed over each year of age. I The single premium is $10,900 - 2' : 0.02 Calculate the probability that the present value of the loss at issue is more than $57,260 An insurer issues a fully discrete whole life insurance to 12000 indpendent lives each age 30. You are given: a The death benet is $155,000 payable at the end of the year of death. Level annual premiums are payable at the beginning of each year while each life is alive. First year expenses are 30% of the first premium. Renewal expenses for the second and subsequent years are 5% of each premium. Mortality follows the Standard Ultimate Life Table. Premiums are calculated using the portfolio percentile premium principle. . i: 0.05 Calculate the annual premium which ensures a 99% probability that the portfolio of will result in a prot