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On The Parametrization Of Multivariate Garch Models

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  • Scherrer, Wolfgang
  • Ribarits, Eva

Abstract

This paper deals with issues of structure and parametrization of VECH models proposed in Bollerslev, Engle, and Wooldridge (1988) and Baba, Engle, Kraft, and Kroner (BEKK) models. Both general models and also restricted versions such as the widely used diagonal VECH (DVECH) and factor generalized autoregressive conditional heteroskedastic (F-GARCH) models are discussed. A simple algorithm is presented that checks whether a given VECH model may be cast as a BEKK model. It is shown that in the bivariate case BEKK models are as general as VECH models. In higher dimensional cases however, VECH models allow for more flexibility. In addition, a parametrization for a generic, i.e., open and dense, class of BEKK models is given, and the frequently cited parametrization by Engle and Kroner (1995, Econometric Theory 11, 122–150) is analyzed. Two shortcomings of the latter are pointed out. Finally, parametrizations for BEKK(p,q,K) models with K ≤ n, including DVECH, F-GARCH, and a generalization of the latter, are discussed.This research was supported by the project P17065 “Identification of multivariate dynamic systems with a focus on dimension reduction” of the Austrian Science Foundation (FWF).

Suggested Citation

  • Scherrer, Wolfgang & Ribarits, Eva, 2007. "On The Parametrization Of Multivariate Garch Models," Econometric Theory, Cambridge University Press, vol. 23(3), pages 464-484, June.
    • Handle: RePEc:cup:etheor:v:23:y:2007:i:03:p:464-484_07
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    1. Viorica CHIRILA & Ciprian CHIRILA, 2018. "Effects of US Monetary Policy on Eastern European Financial Markets," CES Working Papers, Centre for European Studies, Alexandru Ioan Cuza University, vol. 10(2), pages 149-166, August.
    2. Karunanayake, Indika & Valadkhani, Abbas & O’Brien, Martin, 2012. "GDP Growth and the Interdependency of Volatility Spillovers," MPRA Paper 50398, University Library of Munich, Germany.
    3. Valadkhani, Abbas & O'Brien, Martin & Karunanayake, Indika, 2009. "Modelling Australian Stock Market Volatility: A Multivariate GARCH Approach," Economics Working Papers wp09-11, School of Economics, University of Wollongong, NSW, Australia.
    4. Conrad, Christian & Karanasos, Menelaos, 2010. "Negative Volatility Spillovers In The Unrestricted Eccc-Garch Model," Econometric Theory, Cambridge University Press, vol. 26(3), pages 838-862, June.
    5. Gagari Chakrabarti, 2011. "Financial crisis and the changing nature of volatility contagion in the Asia-Pacific region," Journal of Asset Management, Palgrave Macmillan, vol. 12(3), pages 172-184, August.
    6. Bruce Q. Budd, 2018. "The transmission of international stock market volatilities," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 42(1), pages 155-173, January.
    7. de Almeida, Daniel & Hotta, Luiz K. & Ruiz, Esther, 2018. "MGARCH models: Trade-off between feasibility and flexibility," International Journal of Forecasting, Elsevier, vol. 34(1), pages 45-63.
    8. Asai, Manabu, 2023. "Feasible Panel GARCH Models: Variance-Targeting Estimation and Empirical Application," Econometrics and Statistics, Elsevier, vol. 25(C), pages 23-38.
    9. Ahmad, Wasim & Mishra, Anil V. & Daly, Kevin, 2018. "Heterogeneous dependence and dynamic hedging between sectors of BRIC and global markets," International Review of Financial Analysis, Elsevier, vol. 59(C), pages 117-133.

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