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

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 …

Price variations observed at speculative markets exhibit positive autocorrelation and cross correlation among a set of … assets, stock market indices, exchange rates etc. A particular problem in investigating multivariate volatility processes … arises from the high dimensionality implied by a simultaneous analysis of variances and covariances. Parametric volatility …

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 …