Need help with the questions in the attachment.

1 For each of the following expected present values, describe the payments involved and calculate the value assuming AM92 mortality and 6% po interest. (/a )(451:201 (ii) (A )49:6 (/a) 501-10 2 Graham, aged 40, purchases a conventional with-profits whole life assurance with sum assured E2,000 plus attaching bonuses, payable at the end of the year of death. Assuming allowance for simple bonuses of 3% po, which are added at the start of each policy year, calculate the expected present value of Graham's policy benefits. Basis: AM92 Ultimate mortality, 4% po interest. 3 A special term assurance policy is to be issued to a life currently aged 52 exact. The policy term is 8 years, and the sum assured is paid at the end of the year of death. The benefit is 120,000 in the first year, increasing by 10,000 at the end of each year, so that if death occurs in the final policy year 190,000 will be paid. Calculate the EPV of this policy benefit using the following basis: Mortality: AM92 Ultimate Interest: 4% pa 4 The payments under a special deferred annuity are payable continuously from age 60 and increase continuously at the rate of 5% po compound. The payment stream starts at the rate of E200 pa. Assuming AM92 Select mortality before age 60 and PFA92C20 mortality after age 60, calculate the expected present value of the annuity for a female life now aged 40, if interest is 5% pa effective. A life insurance company has issued a decreasing term assurance with a 20-year term to a person aged exactly 40. The sum assured is 100,000 in the first year, decreasing by 1,000 each year, so that the death benefit in the final policy year is 81,000. The benefit is paid at the end of the policy year of death. Calculate the EPV of this benefit assuming AM92 Select mortality and 4% pa interest.A life insurance company is considering selling with-profit endowment policies with a term of twenty years and initial sum assured of f100,000. Death benefits are payable at the end of the policy year of death. Bonuses will be added at the end of each policy year. The company is considering three different bonus structures: (1) simple reversionary bonuses of 4.5% per annum (2) compound reversionary bonuses of 3.84615% per annum (3) super compound bonuses where the original sum assured receives a bonus of 3% each year and all previous bonuses receive an additional bonus of 6% each year. Calculate the amount payable at maturity under the three structures. [4] Calculate the expected present value of benefits under structure (2) for an individual aged 45 exact at the start, using the following basis: Interest 8% per annum Mortality AM92 Select Expenses ignore [4] (iii) Calculate the expected present value of benefits, using the same policy and basis as in (ii) but reflecting the following changes: (a) Bonuses are added at the start of each policy year (the death benefit is payable at the end of the policy year of death). (b) The death benefit is payable immediately on death (bonuses are added at the end of each policy year). (c) The death benefit is payable immediately on death, and bonuses are added continuously. [3] [Total 11]