Abstract
After using the Monty Hall problem to explain Bayes’ rule, we introduce Gibbs sampler and Markov Chain Monte Carlo (MCMC) algorithms. The marginal posterior probability densities obtained by the MCMC algorithms are compared to the exact marginal posterior densities. We present two financial applications of MCMC algorithms: the CKLS model of the Japanese uncollaterized call rate and the Gaussian copula model of S&P500 and FTSE100.
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