Efficient estimation of a multivariate multiplicative volatility model

Christian M. Hafner (1) , Oliver Linton (2)

1 UCL - Université Catholique de Louvain = Catholic University of Louvain
2 Department of Economics

We propose a multivariate generalization of the multiplicative volatility model of Engle and Rangel (2008), which has a nonparametric long run component and a unit multivariate GARCH short run dynamic component. We suggest various kernel-based estimation procedures for the parametric and nonparametric components, and derive the asymptotic properties thereof. For the parametric part of the model, we obtain the semiparametric efficiency bound. Our method is applied to a bivariate stock index series. We find that the univariate model of Engle and Rangel (2008) appears to be violated in the data whereas our multivariate model is more consistent with the data.

Mots clés: C12; C13; C14; GARCH; Kernel estimation; Local stationarity; Semiparametric

Domaines: Econométrie de la finance [q-fin.ST]

Christian M. Hafner, Oliver Linton. Efficient estimation of a multivariate multiplicative volatility model. Econometrics, 2010, 159 (1), pp.55. ⟨10.1016/j.jeconom.2010.04.007⟩. ⟨hal-00732539⟩