Actuarial Practice

Implementing Ruin Theory in Actuarial Practice

As actuaries, we often find ourselves at the intersection of mathematics and finance, tasked with managing risk and ensuring the financial stability of insurance companies. One crucial tool in our arsenal is ruin theory, a set of mathematical models designed to assess an insurer’s vulnerability to insolvency. Ruin theory has its roots in the early 20th century, notably with the work of Filip Lundberg and later Harald Cramér, who laid the foundation for what is now known as the Cramér–Lundberg model. This model is pivotal in understanding how an insurance company can avoid financial ruin by balancing premiums with potential claims.