We establish a relation between stochastic volatility models and the class of generalized hyperbolic distributions …

In this paper we study new nonlinear GARCH models mainly designed for time series with highly persistent volatility …. For such series, conventional GARCH models have often proved unsatisfactory because they tend to exaggerate volatility …

This paper offers a new approach for estimation and forecasting of the volatility of financial time series. No … assumption is made about the parametric form of the processes, on the contrary we only suppose that the volatility can be … homogeneity, then the estimate of the volatility can be simply obtained by local averaging. We construct a locally adaptive …

Multivariate Volatility Models belong to the class of nonlinear models for financial data. Here we want to focus on …

prices caused by stochastic volatility. -- option pricing ; autoregression ; heteroskedasticity ; GARCH ; leverage effect …

hedging derivatives and of intertemporal consumption choice. …

which succeeds with high probability. -- Hedging ; superhedging ; Neyman Pearson lemma ; stochastic volatility ; value at … study the question what an investor can do who is unwilling to spend that much, and who is ready to use a hedging strategy …