Using positive semidefinite supOU (superposition of Ornstein-Uhlenbeck type) processes to describe the volatility, we … introduce a multivariate stochastic volatility model for financial data which is capable of modelling long range dependence … effects. The finiteness of moments and the second order structure of the volatility, the log returns, as well as their …

volatility derivatives. In the first part, the book develops a unifying theory for the analysis of contingent claims under both …This book presents a factor-based model of the stochastic evolution of the implied volatility surface. The model allows … the real-world measure and the risk-neutral measure in an environment of stochastic implied volatility. On the basis of …