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Asymmetries in Conditional Mean and Variance: Modelling Stock Returns by asMA-asQGARCH

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Author Info
Kurt Brännäs (Umeå University, Sweden)
Jan G. de Gooijer () (University of Amsterdam)

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Abstract

The asymmetric moving average model (asMA) is extended to allow for asymmetric quadratic conditional heteroskedasticity (asQGARCH). The asymmetric parametrization of the conditional variance encompasses the quadratic GARCH model of Sentana (1995). We introduce a framework for testing asymmetries in the conditional mean and the conditional variance, separately or jointly. Some of the new model's moment properties are also derived. Empirical results are given for the daily returns of the composite index of the New York Stock Exchange. There is strong evidence of asymmetry in both the conditional mean and conditional variance functions. In a genuine out-of-sample forecasting experiment the performance of the best fitted asMA-asQGARCH model is compared to pure asMA and no-change forecasts. This is done both in terms of conditional mean forecasting as well as in terms of risk forecasting.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 00-049/4.

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Date of creation: 09 Jun 2000
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Handle: RePEc:dgr:uvatin:20000049

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  1. Li, C W & Li, W K, 1996. "On a Double-Threshold Autoregressive Heteroscedastic Time Series Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 253-74, May-June. [Downloadable!] (restricted)
  2. Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993. "On the relation between the expected value and the volatility of the nominal excess return on stocks," Staff Report 157, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  3. Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May. [Downloadable!] (restricted)
  4. Sentana,E., 1995. "Quadratic Arch Models," Papers 9517, Centro de Estudios Monetarios Y Financieros-.
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  1. Kulp-Tåg, Sofie, 2007. "Short-Horizon Asymmetric Mean-Reversion and Overreactions: Evidence from the Nordic Stock Markets," Working Papers 524, Swedish School of Economics and Business Administration. [Downloadable!]
  2. Brännäs, Kurt & Soultanaeva, Albina, 2006. "Influence of News in Moscow and New York on Returns and Risks on Baltic State Stock Indices," UmeÃ¥ Economic Studies 696, Umeå University, Department of Economics. [Downloadable!]
  3. Brännäs, Kurt, 2003. "Temporal Aggregation of the Returns of a Stock Index Series," UmeÃ¥ Economic Studies 614, Umeå University, Department of Economics. [Downloadable!]
  4. Kurt Brännäs & Niklas Nordman, 2003. "Conditional skewness modelling for stock returns," Applied Economics Letters, Taylor and Francis Journals, vol. 10(11), pages 725-728, September. [Downloadable!] (restricted)
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  5. 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. [Downloadable!]
  6. Kurt Braennaes & Niklas Nordman, 2001. "An Alternative Conditional Asymmetry Specification for Stock Returns," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
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