Multivariate Variance Targeting in the BEKK-GARCH Model

Abstract

This paper considers asymptotic inference in the multivariate BEKK model based on (co-)variance targeting (VT). By de finition the VT estimator is a two-step estimator and the theory presented is based on expansions of the modifi ed likelihood function, or estimating function, corresponding to these two steps. Strong consistency is established under weak moment conditions, while sixth order moment restrictions are imposed to establish asymptotic normality. Included simulations indicate that the multivariately induced higher order moment constraints are indeed necessary.