We compare the most common stochastic volatility models such as the Ornstein–Uhlenbeck (OU), the Heston and the exponential OU models. We try to decide which is the most appropriate one by studying their volatility autocorrelation and leverage effect, and thus outline the limitations of each...

We study the exponential Ornstein-Uhlenbeck stochastic volatility model and observe that the model shows a multiscale behaviour in the volatility autocorrelation. It also exhibits a leverage correlation and a probability profile for the stationary volatility which are consistent with market...