# math

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A 28-year-old man pays \$192 for a one-year life insurance policy with coverage of \$150,000. If the probability that he will live through the year is 0.9989, what is the expected value for the insurance policy?

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I have not done actuarial science, but I would be tempted to calculate it as
192/(1-0.9989)=\$174,545.
I wonder how the number 0.9989 was calculated.

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