Financial Risk Modeling with Markov Chains

This paper proposes markovian models in portfolio theory and risk management. In a first analysis, we describe discrete time optimal allocation models. Then, we examine the investor’s optimal choices either when returns are uniquely determined by their mean and variance or when they are modeled by a Markov chain. Moreover we propose different
models to compute VaR and CVaR when returns are modeled by a Markov chain.