The Fiction of Full BEKK

Chia-Lin Chang () and Michael McAleer

No 2017-06, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: The purpose of the paper is to show that univariate GARCH is not a special case of multivariate GARCH, specifically the Full BEKK model, except under parametric restrictions on the off-diagonal elements of the random coefficient autoregressive coefficient matrix, provides the regularity conditions that arise from the underlying random coefficient autoregressive process, and for which the (quasi-) maximum likelihood estimates have valid asymptotic properties under the appropriate parametric restrictions. The paper provides a discussion of the stochastic processes, regularity conditions, and asymptotic properties of univariate and multivariate GARCH models. It is shown that the Full BEKK model, which in practice is estimated almost exclusively, has no underlying stochastic process, regularity conditions, or asymptotic properties.

Keywords: Random coefficient stochastic process; Off-diagonal parametric restrictions; Diagonal and Full BEKK; Regularity conditions; Asymptotic properties; Conditional volatility; Univariate and multivariate models. (search for similar items in EconPapers)
JEL-codes: C22 C32 C52 C58 (search for similar items in EconPapers)
Pages: 11 pages
Date: 2017-01
New Economics Papers: this item is included in nep-ecm
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Working Paper: The Fiction of Full BEKK (2017)
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