Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric …

mean. For the volatility function, i.e., the conditional variance given the past, a multiplicative structure is more … appropriate than an additive one, as the volatility is a positive scale function and a multiplicative model provides a better … additive mean and the multiplicative volatility. The technique used is marginally integrated local polynomial estimation. The …

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 … to a parametric approach, namely the multivariate GARCH model. -- stochastic volatility model ; adaptive estimation …

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 …