Besides predicting the amount of future losses, the law of large numbers is also used by insurers to

Besides predicting the amount of future losses, the law of large numbers is also used by insurers to

• A. Determine average loss costs
• B. Predict the exact claim amount for any individual
• C. Set policy terms
• D. Determine underwriting guidelines

Answer: (A)

The law of large numbers helps insurers turn randomness into a reliable expectation by showing that as the pool of insureds grows, the average loss per exposure converges to the expected value. This makes it possible to estimate average loss costs with greater precision, which is essential for pricing and setting premiums. It cannot predict the exact claim amount for an individual, since outcomes for single claims are still random. Policy terms and underwriting guidelines are driven more by risk selection and policy design than by this averaging principle.

The law of large numbers helps insurers turn randomness into a reliable expectation by showing that as the pool of insureds grows, the average loss per exposure converges to the expected value. This makes it possible to estimate average loss costs with greater precision, which is essential for pricing and setting premiums. It cannot predict the exact claim amount for an individual, since outcomes for single claims are still random. Policy terms and underwriting guidelines are driven more by risk selection and policy design than by this averaging principle.