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1. Calculate (2) (i) a[50]: 201 (4) [33]: 23 (ii) Basis: Mortality: AM92 Interest: 6% per annum 2. For a whole life assurance of 1 issued to a life aged with death benefits payable at the moment of death, we have that the force of mortality is x+t, 80.08 and A 0.8. Assuming that +t is increased by 0.04 for all t and is decreased by 0.04, calculate the revised expected present value of this = assurance. 3. A life insurance company issues a special 2-payment whole life assurance to lives aged 60 exact. The death benefit is paid at the end of the year of death. Premiums of P are paid at the beginning of years 1 and 3. If a life aged 60 dies in either year 1 or year 3, the death benefit is 15, 000 + (partial refund of premium). Otherwise the death benefit is 15,000. Calculate P. Basis: Mortality: AM92 Ultimate Interest: 4% per annum 4. A life insurance company issues an increasing 10-year term assurance where the benefit, payable at the end of the year of death, is 10,000(k+1) if death occurs during the year k + 1, k = 0, 1, 2, ..., 9. Using that the single benefit premium for this assurance for a life aged 51 is 2,340, calculate the single benefit premium for this assurance for a life aged 50. Basis: Mortality: AM92 Ultimate Interest: 4% per annum

1. Calculate (i) a[50];20](2) (ii) a[33](4)23] Basis: Mortality: AM92 Interest: 6% per annum 2. For a whole life assurance of 1 issued to a life aged x with death benefits payable at the moment of death, we have that the force of mortality is x+t, =0.08 and Ax=0.8. Assuming that x+t is increased by 0.04 for all t and is decreased by 0.04 , calculate the revised expected present value of this assurance. 3. A life insurance company issues a special 2-payment whole life assurance to lives aged 60 exact. The death benefit is paid at the end of the year of death. Premiums of P are paid at the beginning of years 1 and 3 . If a life aged 60 dies in either year 1 or year 3 , the death benefit is 15,000+4P (partial refund of premium). Otherwise the death benefit is 15,000. Calculate P. Basis: Mortality: AM92 Ultimate Interest: 4% per annum 4. A life insurance company issues an increasing 10 -year term assurance where the benefit, payable at the end of the year of death, is 10,000(k+1) if death occurs during the year k+1,k=0,1,2,,9. Using that the single benefit premium for this assurance for a life aged 51 is 2,340, calculate the single benefit premium for this assurance for a life aged 50 . Basis: Mortality: AM92 Ultimate Interest: 4% per annum

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