Variance targeting estimation of multivariate GARCH models

Christian Francq, Lajos Horvath and Jean-Michel Zakoian

MPRA Paper from University Library of Munich, Germany

Abstract: We establish the strong consistency and the asymptotic normality of the variance-targeting estimator (VTE) of the parameters of the multivariate CCC-GARCH($p,q$) processes. This method alleviates the numerical difficulties encountered in the maximization of the quasi likelihood by using an estimator of the unconditional variance. It is shown that the distribution of the VTE can be consistently estimated by a simple residual bootstrap technique. We also use the VTE for testing the model adequacy. A test statistic in the spirit of the score test is constructed, and its asymptotic properties are derived under the null assumption that the model is well specified. An extension of the VT method to asymmetric CCC-GARCH models incorporating leverage effects is studied. Numerical illustrations are provided and an empirical application based on daily exchange rates is proposed.

Keywords: Adequacy Test for CCC-GARCH models; Bootstrap; Leverage Effect; Quasi Maximum Likelihood Estimation; Variance Targeting Estimator (search for similar items in EconPapers)
JEL-codes: C13 C22 (search for similar items in EconPapers)
Date: 2014-08-06
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Related works:
Journal Article: Variance Targeting Estimation of Multivariate GARCH Models (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:57794

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