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11. For a 5-year deferred whole life insurance issued to a life aged 50, you are given (i) no death benefit is payable if death

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11. For a 5-year deferred whole life insurance issued to a life aged 50, you are given (i) no death benefit is payable if death occurs within the first 5 years after the policy is issued; (ii) a death benefit of 1 is payable at the moment of death if death occurs 5 years or more after the policy is issued; (iii) mortality follows de Moivre's law with w = 100; (iv) the force of interest is a constant with 8 = 0.06; (v) a continuous level annual premium, payable for at most 5 years, is determined by the equivalence principle; (vi) Lo is the loss random variable at issue. Calculate the probability that the premiums are insufficient to cover the benefits, that is, the probability that Lo > 0. [Total: 10 marks]

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