Gibbs Sampling Approach to Markov Switching Models in Finance
نویسنده
چکیده
In the present paper we apply the Gibbs Sampling approach to estimate the parameters of a Markov Switching Model which we use to model financial time series. In particular, we estimate the standard deviation of the time series in order to obtain an indicator similar to the VIX index. The Markov Switching technique has been chosen because of the presence of exogenous factors which can have a large impact on the market, making it behave differently in different time periods. We also perform a case study on the S&P500 index for the period 3 January, 2007 29 December, 2014. Key–Words: Markov Switching, α-stable Distribution, Gibbs Sampling, Finance, Financial time series
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