Forecasting volatility with outliers in GARCH models

In this paper, we detect and correct abnormal returns in 17 French stocks returns and the French index CAC40 from additive-outlier detection method in GARCH models developed by Franses and Ghijsels (1999) and extended to innovative outliers by Charles and Darne (2005). We study the effects of outlying observations on several popular econometric tests. Moreover, we show that the parameters of the equation governing the volatility dynamics are biased when we do not take into account additive and innovative outliers. Finally, we show that the volatility forecast is better when the data are cleaned of outliers for several step-ahead forecasts (short, medium- and long-term) even if we consider a GARCH- t process. Copyright © 2008 John Wiley & Sons, Ltd.

[1]  Michael McAleer,et al.  Fat tails and asymmetry in financial volatility models , 2004, Math. Comput. Simul..

[2]  Andrew H. Chen,et al.  The effects of terrorism on global capital markets , 2004 .

[3]  T. Bollerslev,et al.  A CONDITIONALLY HETEROSKEDASTIC TIME SERIES MODEL FOR SPECULATIVE PRICES AND RATES OF RETURN , 1987 .

[4]  R. Engle Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation , 1982 .

[5]  Shinichi Sakata,et al.  HIGH BREAKDOWN POINT CONDITIONAL DISPERSION ESTIMATION WITH APPLICATION TO S&P 500 DAILY RETURNS VOLATILITY , 1998 .

[6]  Beum-Jo Park,et al.  An outlier robust GARCH model and forecasting volatility of exchange rate returns , 2002 .

[7]  T. Fomby,et al.  Large Shocks, Small Shocks, and Economic Fluctuations: Outliers in Macroeconomic Time Series , 1994 .

[8]  Francis X. Diebold,et al.  Modeling and Forecasting Realized Volatility , 2001 .

[9]  Philippe Jorion On Jump Processes in the Foreign Exchange and Stock Markets , 1988 .

[10]  T. Bollerslev,et al.  Generalized autoregressive conditional heteroskedasticity , 1986 .

[11]  P. Franses,et al.  Additive outliers, GARCH and forecasting volatility , 1999 .

[12]  Michel Beine,et al.  Central bank interventions and jumps in double long memory models of daily exchange rates , 2003 .

[13]  Daniel Peña,et al.  Effects of outliers on the identification and estimation of GARCH models , 2007 .

[14]  David A. Hsieh,et al.  Modeling Heteroscedasticity in Daily Foreign-Exchange Rates , 1989 .

[15]  Andre Lucas,et al.  Testing for ARCH in the presence of additive outliers , 1999 .

[16]  R. Baillie,et al.  The Message in Daily Exchange Rates , 1989 .

[17]  Olivier Darné,et al.  Outliers and GARCH models in financial data , 2005 .

[18]  Daniel B. Nelson CONDITIONAL HETEROSKEDASTICITY IN ASSET RETURNS: A NEW APPROACH , 1991 .

[19]  T. Bollerslev,et al.  ANSWERING THE SKEPTICS: YES, STANDARD VOLATILITY MODELS DO PROVIDE ACCURATE FORECASTS* , 1998 .

[20]  Lon-Mu Liu,et al.  Joint Estimation of Model Parameters and Outlier Effects in Time Series , 1993 .

[21]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[22]  Franz C. Palm,et al.  The message in weekly exchange rates in the European Monetary System: mean reversion , 1993 .