2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120529We present a stochastic volatility market model where volatility is correlated with return and is represented by an Ornstein-Uhlenbeck process. With this model we exactly measure the leverage effect and other stylized facts, such as mean reversion, leptokurtosis and negative skewness. We also obtain a close analytical expression for the characteristic function and study the heavy tails of the probability distribution.22 pages, 2 figures and 2 tablesCondensed MatterPhysics and Societytext