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



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Caporin, Massimiliano and McAleer, Michael (2009) Do We Really Need Both BEKK and DCC? A Tale of Two Covariance Models. [ Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE); nº 04, 2009, ] (Unpublished)

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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.

Item Type:Working Paper or Technical Report
Additional Information:

Massimiliano Caporin pertenece al Dipartimento di Scienze Economiche “Marco Fanno”, Università degli Studi di Padova,Facoltà di Scienze Statistiche.

Uncontrolled Keywords:Conditional correlations, Conditional covariances, Diagonal models, Forecasting, Generalized models, Hadamard models, Scalar models, Targeting.
Subjects:Sciences > Statistics > Mathematical statistics
JEL:G11, G33, C32
Series Name:Documentos de trabajo del Instituto Complutense de Análisis Económico (ICAE)
ID Code:8590
Deposited On:03 Mar 2009 10:11
Last Modified:07 Jun 2017 11:52

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