Flexible Dynamic Conditional Correlation multivariate GARCH models for asset allocation

This paper introduces the Flexible Dynamic Conditional Correlation (FDCC) multivariate GARCH model which generalizes the Dynamic Conditional Correlation (DCC) multivariate GARCH model proposed by Engle (2002). The FDCC model relax the assumption of common dynamics among all assets used in the DCC model. In fact, we cannot impose that the correlation dynamics of, say, European sectorial stock indexes are identical to the corresponding US ones. We thus extend the DCC model introducing a block-diagonal structure; in the FDCC the dynamics are constrained to be equal among groups of variables. We present an application to a sectorial asset allocation problem.

[1]  T. Bollerslev,et al.  Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model , 1990 .

[2]  Daniel B. Nelson.  CONDITIONAL HETEROSKEDASTICITY IN ASSET RETURNS: A NEW APPROACH , 1991 .

[3]  R. Engle.  Dynamic Conditional Correlation , 2002 .

[4]  Takkee Hui.  Portfolio diversification: a factor analysis approach , 2005 .

[5]  D. Morelli,et al.  Capital asset pricing model on UK securities using ARCH , 2003 .

[6]  R. Chou,et al.  ARCH modeling in finance: A review of the theory and empirical evidence , 1992 .

[7]  Zhuanxin Ding,et al.  Large Scale Conditional Covariance Matrix Modeling, Estimation and Testing , 2001 .

[8]  R. Engle,et al.  Multivariate Simultaneous Generalized ARCH , 1995, Econometric Theory.

[9]  C. C. Bautista.  Interest rate-exchange rate dynamics in the Philippines: a DCC analysis , 2003 .

[10]  R. Engle.  Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[11]  S. Satchell,et al.  GARCH model with cross-sectional volatility: GARCHX models , 2005 .

[12]  Transmission of returns and volatility in art markets: a multivariate GARCH analysis , 2004 .

[13]  R. Engle,et al.  Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns , 2003, SSRN Electronic Journal.

[14]  B. Ewing,et al.  The effects of macroeconomic shocks on sector-specific returns , 2003 .

[15]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[16]  ANTONIO MONTANÉS,et al.  Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH , 2000 .

[17]  C. Granger,et al.  A long memory property of stock market returns and a new model , 1993 .

[18]  P. Franses,et al.  A Generalized Dynamic Conditional Correlation Model for Many Asset Returns , 2003 .

[19]  Marcello Pericoli,et al.  Some Contagion, Some Interdependence: More Pitfalls in Tests of Financial Contagion , 2002 .

[20]  T. Bollerslev,et al.  Generalized autoregressive conditional heteroskedasticity , 1986 .

[21]  R. Engle.  Dynamic Conditional Correlation : A Simple Class of Multivariate GARCH Models , 2000 .

[22]  Tim Bollerslev,et al.  Chapter 49 Arch models , 1994 .

[23]  James Chong.  Options trading profits from correlation forecasts , 2004 .