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Original Articles

Detecting level shifts in ARMA-GARCH (1,1) Models

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Pages 679-697 | Received 28 Jan 2008, Published online: 18 Jun 2009

References

  • Andersen , T. G. and Lund , J. 1997 . Estimating continuous-time stochastic volatility models of the short-term interest rate . J. Econ. , 77 : 343 – 377 .
  • Andrews , D. W.K. 1993 . Tests for parameter instability and structural change with unknown change point . Econometrica , 61 : 821 – 856 .
  • Ané , T. , Ureche-Rangau , L. , Gambet , J. B. and Bouverot , J. 2007 . Robust outlier detection for Asia-Pacific stock index returns . J. Int. Financ. Mark. Instn Money , 18 : 326 – 343 .
  • Bali , T. G. 2000 . Testing the empirical performance of stochastic volatility models of the short-term interest rate . J. Financ. Quant. Anal. , 35 : 191 – 215 .
  • Bali , R. and Guirguis , H. 2007 . Extreme observations and non-normality in ARCH and GARCH . Int. Rev. Econ. Financ. , 16 : 332 – 346 .
  • Balke , N. S. 1993 . Detecting level shifts in time series . J. Bus. Econ. Stat. , 1 : 81 – 92 .
  • Balke , N. S. and Fomby , T. B. 1994 . Large shocks, small shocks, and economic fluctuations: outliers in macroeconomic time series . J. Appl. Econ. , 9 : 181 – 200 .
  • Bollerslev , T. 1986 . Generalized autoregressive conditional heteroscedasticity . J. Econ. , 31 : 307 – 327 .
  • Bollerslev , T. 1987 . A conditionally heteroscedastic time series model for speculative prices and rates of return . Rev. Econ. Stat. , 69 : 542 – 547 .
  • Catalán , B. and Trívez , F. J. 2004 . Outlier detection in ARMA-GARCH models , Pamplona : Simposio Análisis Económico . Working Paper XXIX
  • Catalán , B. and Trívez , F. J. 2006 . Effects of the additive outliers in the forecasting of the conditional variance of an ARCH model . Estudios de Economía Aplicada , 24 : 559 – 581 .
  • Catalán , B. and Trívez , F. J. 2007 . Forecasting volatility in GARCH models with additive outliers . Quant. Financ. , 7 : 591 – 596 .
  • Chan , F. and McAleer , M. 2001 . Estimating smooth transition autoregressive models with GARCH errors in the presence of extreme observations and outliers , The Institute of Social and Economic Research, Osaka University . Discussion Paper No. 539
  • Engle , R. F. 1982 . Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation . Econometrica , 50 : 987 – 1008 .
  • Engle , R. F. 2000 . The econometrics of ultra-high-frequency data . Econometrica , 68 : 1 – 22 .
  • Ericsson , N. R. 1991 . Monte Carlo methodology and the finite sample properties of instrumental variables statistics for testing nested and non-nested hypotheses . Econometrica , 59 : 1249 – 1277 .
  • Evans , G. B.A. and Savin , N. E. 1982 . Conflict among the criteria revisited: the W, LR and LM tests . Econometrica , 50 : 737 – 748 .
  • Franses , P. H. and Ghijsels , H. 1999 . Additive outliers, GARCH and forecasting volatility . Int. J. Forecast. , 15 : 1 – 9 .
  • Franses , P. H. and Van Dijk , D. 1997 . Do we often find ARCH because of neglected outliers? . Econometric Institute Rep. 9706/A , Working Paper
  • Franses , P. H. and Van Dijk , D. 1999 . Outlier detection in GARCH models . Econometric Institute Research Rep. ,
  • Franses , P. H. , Van Dijk , D. and Lucas , A. 1998 . Short patches of outliers, ARCH and volatility modelling , Tinbergen Institute, Erasmus University Rotterdam . Discussion Paper 98-057/4
  • Friedman , B. M. and Laibson , D. I. 1989 . Economic implications of extraordinary movements in stock prices . Brookings Pap. Econ. Act. , 2 : 137 – 185 .
  • Gray , S. F. 1996 . Modeling the conditional distribution of interest rates as a regime – switching process . J. Financ. Econ. , 42 : 27 – 62 .
  • Gregory , A. W. and Reeves , J. J. 2001 . Estimation and inference in ARCH models in the presence of outliers , Kingston , , Canada : Department of Economics Queen's University . Working Paper
  • Hotta , L. and Tsay , R. S. 1998 . Outliers in a GARCH process , Graduate School of Business, University of Chicago . Working Paper
  • Krämer , W. , Ploberger , W. and Al , R. 1988 . Testing for structural change in dynamic models . Econometrica , 56 : 1355 – 1369 .
  • Lamoureux , C. and Lastrapes , W. D. 1990 . Persistence in variance, structural change and the GARCH model . J. Bus. Econ. Stat. , 8 : 225 – 235 .
  • Modigliani , F. and Shiller , R. J. 1973 . Inflation, rational expectations and the term structure of interest rate . Economica , 40 : 12 – 43 .
  • Park , B. J. 2002 . An outlier robust GARCH model and forecasting volatility of exchange rate returns . J. Forecast. , 21 : 381 – 393 .
  • Sakata , S. and White , H. 1998 . High breakdown point conditional dispersion estimation with application to S&P 500 daily returns volatility . Econometrica , 66 : 529 – 567 .
  • Sargent , T. J. 1972 . Rational expectations and the term structure of interest rates . J. Money Credit Bank. , 4 : 74 – 97 .
  • Tolvi , J. paper presented at the Annual Meeting of the Finnish Statistical Society . Vaasa . Outliers and ARCH modeling ,
  • Trívez , F. J. 1995 . Level shifts, temporary changes and forecasting . J. Forecast. , 14 : 543 – 550 .
  • Trívez , F. J. and Catalán , B. 2008 . Specification error caused by level shifts and temporary changes in ARMA-GARCH models . J. Stat. Comput. Simul. , 78 : 853 – 868 .
  • Tsay , R. S. 1988 . Outliers, level shifts and variance changes in time series . J. Forecast. , 7 : 1 – 20 .
  • Van Dijk , D. , Franses , P. H. and Lucas , A. 1999 . Testing for smooth transition nonlinearity in the presence of outliers . J. Bus. Econ. Stat. , 17 : 217 – 235 .
  • P. Verhoeven and M. McAleer, Modelling outliers and extreme observations for ARMA-GARCH processes. Econometric Society World Congress 2000. Contributed paper number 1922.
  • Zhang , X. and King , M. 2005 . Influence diagnostics in generalized autoregressive conditional heteroscedasticity processes . J. Bus. Econ. Stat. , 23 : 118 – 129 .

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