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Moments of the ARMA-EGARCH Model

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  • Menelaos Karanasos
  • J. Kim

Abstract

This paper considers the moment structure of the ARMA(r,s)-EGARCH(p,q) model. In particular, we provide the autocorrelation function and any arbitrary moment of the conditional variance/squared errors. In addition, we derive the cross correlations between the process and the conditional variance/squared errors. We also explain our general results using the MA(1)-EGARCH(3,3)\ and the MA(1)-EGARCH(1,4) models as examples. Finally, the practical implications of the results are illustrated empirically using daily data on four East Asia Stock Indices.

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 00/29.

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Handle: RePEc:yor:yorken:00/29

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
Phone: (0)1904 323776
Fax: (0)1904 323759
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Web page: http://www.york.ac.uk/economics/
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Keywords: Autocorrelations; Exponential GARCH; Stock Returns.;

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Cited by:
  1. Jérôme Vandenbussche & Stanley Watt & Szabolcs Blazsek, 2009. "The Liquidity and Liquidity Distribution Effects in Emerging Markets," IMF Working Papers 09/228, International Monetary Fund.
  2. Malmsten, Hans & Teräsvirta, Timo, 2004. "Stylized Facts of Financial Time Series and Three Popular Models of Volatility," Working Paper Series in Economics and Finance 563, Stockholm School of Economics, revised 03 Sep 2004.
  3. Liudas Giraitis & Remigijus Leipus & Peter M Robinson & Donatas Surgailis, 2003. "LARCH, Leverage and Long Memory," STICERD - Econometrics Paper Series /2003/460, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.

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