The law of large numbers is significant in insurance for what reason?

The law of large numbers is a fundamental principle in insurance that enables insurers to predict overall loss trends accurately. This principle states that as the number of exposure units (such as insured individuals or properties) increases, the actual loss experience will converge closer to the expected loss experience.

In practical terms, this means that insurance companies can better estimate the likelihood of claims occurring and the amount of losses they will face by collecting data from a large number of policyholders. This statistical foundation helps them set appropriate premiums and ensure that the pool of insureds can collectively support the losses incurred through claims. By analyzing this data, insurers can manage risk more effectively and maintain financial stability.

The other options do not align with the function of the law of large numbers. While administrative costs may be influenced by risk pooling and efficiency, the law of large numbers specifically pertains to loss prediction rather than guaranteeing full payment of claims or ensuring profitability on individual policies.