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Volatile ARMA Modelling of GARCH Squares

Anthony J. Lawrance ()
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Anthony J. Lawrance: University of Warwick

Central European Journal of Economic Modelling and Econometrics, 2010, vol. 2, issue 3, 195-203

Abstract: This paper points out that the ARMA models followed by GARCH squares are volatile and gives explicit and general forms of their dependent and volatile innovations. The volatility function of the ARMA innovations is shown to be the square of the corresponding GARCH volatility function. The prediction of GARCH squares is facilitated by the ARMA structure and predictive intervals are considered. Further, the developments suggest families of volatile ARMA processes.

Keywords: ARCH; ARMA; GARCH; prediction; time series; volatility (search for similar items in EconPapers)
JEL-codes: C22 C51 (search for similar items in EconPapers)
Date: 2010
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