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

which succeeds with high probability. -- Hedging ; superhedging ; Neyman Pearson lemma ; stochastic volatility ; value at …

maturities and moneyness dimension is neglected. In this paper we propose to estimate the implied volatility surface at each … point in time nonparametrically and to analyze the implied volatility surface slice by slice with a common principal … study a p variate random vector of k groups, say the "volatility smile" at p different grid points of moneyness for k …

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 …