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The main function of actuaries within an insurance company is to determine rates for various types of insurance. Actuaries use mathematical and statistical methods to analyze data related to risk factors and make informed predictions about future events, such as the likelihood of claims being made. This analysis enables them to establish premium rates that are appropriate given the expected loss, operational costs, and the need to ensure the company's long-term financial viability.

In this role, actuaries take into account a multitude of factors such as historical data, industry trends, and economic conditions, which helps them to set premiums that reflect the true risk associated with insuring different individuals or businesses. This expertise is crucial for the company since accurately priced insurance products contribute to profitability and the overall financial health of the insurer.

While other roles such as managing claims or interpreting state insurance laws are important for the functioning of an insurance company, they do not represent the primary responsibilities of actuaries. Actuaries focus specifically on quantitative analysis to guide pricing strategies, which is essential for creating sustainable insurance offerings.