5) Consider a whole life annuity-due of 46,000 per year issued to a life age 65. Calculate the probability that the sum of total undiscounted benefit payments is greater than the expected present value of the annuity at issue. Use the SULT with 5% interest. 6) An 80-year-old elects to purchase a 10-year temporary annuity from an insurance company paying $5,000 quarterly, with payments made at the beginning of each quarter. The insurance company uses the 3-term Woolhouse formula for calculating m-thly annuities and the interest rate is 4%. You are given the following: A79 = 0.52 A90 = 0.65 179+t = 10,000 25t - Calculate the expected present value of this annuity. 3) A 4-year endowment insurance pays $50,000 at the earlier of the end of the year of death and the end of the term. The interest rate is 4.5%. If an individual aged 60 with survival probability t60 = 0.99 - 0.005t purchases this policy, what is the expected present value?