Do We Really Need Both BEKK and DCC? A Tale of Two Covariance Models

Massimiliano Caporin and Michael McAleer

No 2009-04, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: Large and very large portfolios of financial assets are routine for many individuals and organizations. The two most widely used models of conditional covariances and correlations are BEKK and DCC. BEKK suffers from the archetypal "curse of dimensionality" whereas DCC does not. This is a misleading interpretation of the suitability of the two models to be used in practice. The primary purposes of the paper are to define targeting as an aid in estimating matrices associated with large numbers of financial assets, analyze the similarities and dissimilarities between BEKK and DCC, both with and without targeting, on the basis of structural derivation, the analytical forms of the sufficient conditions for the existence of moments, and the sufficient conditions for consistency and asymptotic normality, and computational tractability for very large (that is, ultra high) numbers of financial assets, to present a consistent two step estimation method for the DCC model, and to determine whether BEKK or DCC should be preferred in practical applications.

Keywords: Conditional correlations; Conditional covariances; Diagonal models; Forecasting; Generalized models; Hadamard models; Scalar models; Targeting. (search for similar items in EconPapers)
JEL-codes: C32 G11 G33 (search for similar items in EconPapers)
Pages: 26 pages
Date: 2009
New Economics Papers: this item is included in nep-ecm
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Working Paper: Do We Really Need Both BEKK and DCC? A Tale of Two Covariance Models (2009)
Working Paper: Do We Really Need Both BEKK and DCC? A Tale of Two Covariance Models (2009)
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