In this paper, we have studied option pricing methods that are based on a Bayesian Markov-Switching Vector Autoregressive (MS-BVAR) process using a risk-neutral valuation approach. A BVAR process which is a special case of the Bayesian MS-VAR process is widely used to model inter-dependencies of economic variables and forecast economic variables. Here we assumed that a regime-switching process is generated by a homogeneous Markov process and for a normal system, a residual process follows a conditional heteroscedastic model. With a direct calculation and change of probability measure, for some frequently used options, we derive pricing formulas. An advantage of our model is it depends on economic variables and is easy to use compared to previous option pricing papers which depend on regime-switching.
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