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A better asymmetric model of changing volatility in stock returns: Trend-GARCH

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Author Info
Christian Bauer ()

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Abstract

In this paper we consider the theoretical and empirical relevance of a new family of conditionally heteroskedastic models with a trend dependent conditional variance equation: the Trend-GARCH model. The interest in these models lies in the fact that modern microeco- nomic theory often suggests the connection between the past behavior of time series and the subsequent reaction of market individuals and thereon changes in the future characteristics of the time series. Our results reveal important properties of these models, which are con- sistent with stylized facts in financial data sets. They can also be employed for model identification, estimation, and testing. The em- pirical analysis of a broad variety of asset prices significantly supports the existence of trend effects. The Trend-GARCH model proves to be superior to alternative models such as EGARCH, AGARCH, or TGARCH in replicating the leverage effect in the conditional variance and in fitting the news impact curve.

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Publisher Info
Article provided by Department of Economics, Economics I, Bayreuth University in its journal European Journal of Finance.

Volume (Year): 13 (2007)
Issue (Month): 1 ()
Pages: 65-87
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Handle: RePEc:uba:hadfwe:trend-garch-bauer_2005-02

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Related research
Keywords: GARCH; trend; volatility; news impact curve;

Find related papers by JEL classification:
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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  1. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-38, August. [Downloadable!] (restricted)
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  2. Menkhoff, L., 1998. "The noise trading approach -- questionnaire evidence from foreign exchange," Journal of International Money and Finance, Elsevier, vol. 17(3), pages 547-564, June. [Downloadable!] (restricted)
  3. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March. [Downloadable!] (restricted)
  4. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-96, July. [Downloadable!] (restricted)
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