Before revision: Stochastic differential equations are commonly used to describe the dynamics of diffusive systems. Since their introduction, they have also been considered natural candidates for the description of the dynamics of financial returns. In this context we analyze the problem of the analytical characterization of the still unknown probability distribution of returns of the exponential Ornstein-Uhlenbeck model with stochastic volatility , where the price is driven by a Geometric Brownian motion, whose diffusion coefficient is expressed as an exponential function of an hidden variable Y governed by an Ornstein-Uhlenbeck process.
After revision: We analyze the problem of the analytical characterization of the still unknown probability distribution of returns of the exponential Ornstein-Uhlenbeck model with stochastic volatility , where the price is driven by a Geometric Brownian motion, whose diffusion coefficient is expressed as an exponential function of an hidden variable Y governed by an Ornstein-Uhlenbeck process.