A Company That Sells Annuities Must Base the Annual Payout

question 155

Short Answer

A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan.Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years.What proportion of the plan recipients die before they reach the standard retirement age of 65?

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Definitions:

Units of Output

The total quantity of goods or services produced by a firm or industry during a specific period.

Average Fixed Cost Curves

A graph representing the fixed costs of production (costs that do not change with the level of output) spread over varying levels of output, typically decreasing as output increases.

Marginal Cost Curve

A graphical representation showing the change in total cost that arises from producing one additional unit of a good or service.

U-Shaped

A descriptive term for a scenario where performance or conditions decline, then bottom out, and finally improve, thus resembling the letter "U".