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Alternative GARCH in Mean Models: An Application to the Korean Stock Market

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Menelaos Karanasos
J. Kim

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Abstract

The purpose of this paper is the theoretical and empirical comparison of alternative GARCH-in-mean models. We examine three GARCH specifications: Bollerslev's (1986) GARCH model, Taylor (1986) - Schwert's (1989) GARCH model, and Nelson's (1991) Exponential GARCH model. In addition, we employ four of the most common forms in which the time-varying variance enters the specification of the mean to determine the risk premium: the quadratic, the linear, the logarithmic and the square root one. For all the aforementioned models we give the auto/cross correlations of the process and its conditional variance. The practical implications of the results are illustrated empirically using daily data on the Korean Stock Price Index (KOSPI).

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Paper provided by Department of Economics, University of York in its series Discussion Papers with number 00/25.

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  10. Fountas, S. & Karanasos, M. & Karanassou, M., 2000. "GARCH Model of Inflation and Inflation Uncertainty with Simultaneous Feedback," Department of Economics 47, National University of Ireland, Galway - Department of Economics.
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  11. Moosa, Imad A. & Al-Loughani, Nabeel E., 1994. "Unbiasedness and time varying risk premia in the crude oil futures market," Energy Economics, Elsevier, vol. 16(2), pages 99-105, April. [Downloadable!] (restricted)
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  13. Karim Abadir, 1999. "An introduction to hypergeometric functions for economists," Econometric Reviews, Taylor and Francis Journals, vol. 18(3), pages 287-330. [Downloadable!] (restricted)
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  14. Karanasos, Menelaos, 1999. "The second moment and the autocovariance function of the squared errors of the GARCH model," Journal of Econometrics, Elsevier, vol. 90(1), pages 63-76, May. [Downloadable!] (restricted)
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  17. Manolis G. Kavussanos & Amir H. Alizadeh-M, 2002. "The Expectations Hypothesis of the Term Structure and Risk Premiums in Dry Bulk Shipping Freight Markets," Journal of Transport Economics and Policy, London School of Economics and University of Bath, vol. 36(2), pages 267-304, May. [Downloadable!] (restricted)
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  23. Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March. [Downloadable!] (restricted)
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  25. Menelaos Karanasos, . "Prediction in ARMA models with GARCH in Mean Effects," Discussion Papers 99/11, Department of Economics, University of York. [Downloadable!]
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  32. Hansson, Bjorn & Hordahl, Peter, 1997. " Changing Risk Premia: Evidence from a Small Open Economy," Scandinavian Journal of Economics, Blackwell Publishing, vol. 99(2), pages 335-50, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Menelaos Karanasos & J. Kim, . "Moments of the ARMA-EGARCH Model," Discussion Papers 00/29, Department of Economics, University of York. [Downloadable!]
    Other versions:
  2. MaurĂ­cio Yoshinori Une & Marcelo Savino Portugal, 2005. "Can fear beat hope? A story of GARCH-in-Mean-Level effects for Emerging Market Country Risks," Econometrics 0509006, EconWPA. [Downloadable!]
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