Markov chains are an essential tool for actuaries tackling SOA Exam C and CAS Exam 4, as they provide a structured way to model systems where future states depend only on the current state, not the entire history. If you’ve ever wondered how to practically apply Markov chains in actuarial contexts, this guide will walk you through the fundamentals, sprinkled with real examples and actionable tips that you can take straight into your exam and beyond.

Preparing for the SOA Exam C (MLC) and CAS Exam 4C can feel like a mountain to climb, especially when it comes to mastering Markov chain models. These models are vital for understanding stochastic processes and multiple-state actuarial models, which are central to these exams. Let me walk you through how to build and interpret Markov chain models in a way that’s practical, clear, and exam-friendly.

To start, what exactly is a Markov chain? Simply put, it’s a sequence of states that a system passes through, where the chance of moving to the next state depends only on the current state — not the history of how you got there. This is called the Markov property, and it’s what makes these models both elegant and powerful for actuarial work[6]. For example, when modeling an insurance policyholder’s health status or claim history, you only need to know their current state to estimate future probabilities.