An insurance company issues a whole life insurance to (50). The death benefit of $1,000,000 is...

 

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An insurance company issues a whole life insurance to (50). The death benefit of $1,000,000 is payable at the end of month of death. The policy is purchased with monthly premium P. An expense of $100 is incurred at the time of issue of the policy. An expense of 0.03P is incurred at each premium payment including the first one. You are given that a(12) = 1.00020 and 3(12) = 0.46651. Assume UDD and Standard Ultimate Survival Model. Assume i 5%. - (a) Calculate the monthly premium P using the equivalence principle. (b) Calculate the policy value at the end of the first month, i.e., 1 V. 12 An insurance company issues a whole life insurance to (50). The death benefit of $1,000,000 is payable at the end of month of death. The policy is purchased with monthly premium P. An expense of $100 is incurred at the time of issue of the policy. An expense of 0.03P is incurred at each premium payment including the first one. You are given that a(12) = 1.00020 and 3(12) = 0.46651. Assume UDD and Standard Ultimate Survival Model. Assume i 5%. - (a) Calculate the monthly premium P using the equivalence principle. (b) Calculate the policy value at the end of the first month, i.e., 1 V. 12

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