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.