A Company That Sells Annuities Must Base the Annual Payout

question 81

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.Find the age at which payments have ceased for approximately 86% of the plan participants.

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Definitions:

Moral Hazard

A situation where one party is more likely to take risks because they do not bear the full consequences of their actions.

Auto Insurance

A policy purchased by vehicle owners to mitigate costs associated with getting into an auto accident or other vehicular damage.

Moral Hazard

Moral Hazard refers to situations where one party is more likely to take risks because the negative consequences of their actions are borne by another party.

Adverse Selection

A situation where asymmetric information leads to the selection of undesirable participants in a contract or agreement, often seen in insurance and financial markets.