Variance risk premium is arguably one of the most important and robust risk premia documented in the academic finance. The first chapter of this thesis deals with variance risk on the FX market: therein, I recover risk-neutralized covariance matrices of currency returns and combine them with ex...

Since the advent of Markov chain Monte Carlo (MCMC) methods in the early 1990s, Bayesian methods have been proposed for a large and growing number of applications. One of the main advantages of Bayesian inference is the ability to deal with many different sources of uncertainty, including data,...