Actuarial Problem:

A man aged 39 has $10,000 cash. He wishes to apply this amount to the purchase of a single premium policy which provides a death benefit of $300,000 payable at the end of the year of death for 5 years, followed by a constant death benefit for the rest of his life, the amount to be whatever his single premium will purchase. Find the death benefit after the first 5 years has elapsed. Express your answer in commutation functions. A man aged 39 has $10,000 cash. He wishes to apply this amount to the purchase of a single premium policy which provides a death benefit of $300,000 payable at the end of the year of death for 5 years, followed by a constant death benefit for the rest of his life, the amount to be whatever his single premium will purchase. Find the death benefit after the first 5 years has elapsed. Express your answer in commutation functions