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PPlease solve all the questions A 10-year unit-linked policy has the following profit vector: (-40, -12, -6, -1. 5, -4, 8, 20, 25, 30) Determine

PPlease solve all the questions

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A 10-year unit-linked policy has the following profit vector: (-40, -12, -6, -1. 5, -4, 8, 20, 25, 30) Determine the revised profit vector if reserves are set up to zeroise future negative cash flows on the following basis: Mortality 0.5% per annum (i.c. probability of death at cach age) Interest 2.5% per annum [4) (a) Calculate the constant force of mortality applicable to a life aged between 67 and 68 exact. (b) Calculate the value of 03967.25 using the assumption of a constant force of mortality and the value derived in (a) shove Basis: AM92 Ultimate [4] Describe the benefits typically provided by a salary-related pension scheme for active members on age retirement. [6] Explain the impact of occupation on mortality and morbidity. [2] (1) List the main categories of expenses incurred by life insurance companies. [2] (H1) Give one example of each category in part (1) and indicate the manner in which it is usually allowed for in the calculation of premiums. [4] [Total 6] An insurance company writes policies that provides benefits of $1,000 in the event of becoming disabled due to accident and 10,000 on death. (a) Construct a multiple state transition model for these policies. (b) Give a formula for the expected present value of the benefits. [6]

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