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2. For a special whole life insurance of 1 issued to (30) with benefits payable at the end of the year of death, you are

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2. For a special whole life insurance of 1 issued to (30) with benefits payable at the end of the year of death, you are given: (1) Mortality follows the Standard Ultimate Life Table except for ages between 30 and 40 where mortality has a constant force of 0.001 (ii) i = 0.05. (iii) Z is the present value random variable for this insurance, Calculate (a) E(2). (b) (bonus) Var[2). 2. For a special whole life insurance of 1 issued to (30) with benefits payable at the end of the year of death, you are given: (1) Mortality follows the Standard Ultimate Life Table except for ages between 30 and 40 where mortality has a constant force of 0.001 (ii) i = 0.05. (iii) Z is the present value random variable for this insurance, Calculate (a) E(2). (b) (bonus) Var[2)

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