Question

A 20-year-old female purchases a 1-year life insurance policy worth $250,000. The insurance company determines that...

A 20-year-old female purchases a 1-year life insurance policy worth $250,000. The insurance company determines that she will survive the policy period with probability 0.9995.

(a) If the premium for the policy is $300, what is the expected profit for the company?

(b) At what value should the insurance company set its premium so its expected profit will be $250 per policy for 20-year-old females?

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