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Long memory and outliers in stock market returns

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  • Jussi Tolvi

Abstract

Long memory in the form of fractional integration is analysed in stock market returns. Special emphasis is placed on taking into account the potential bias caused by neglected outliers in the data. It is first shown by a simulation experiment that outliers will bias the estimated fractional integration parameter towards zero. In a monthly data set, consisting of stock market indices of 16 OECD countries, statistically significant long memory is found for three countries. In one of these long memory is only found when outliers are first taken into account.

Suggested Citation

  • Jussi Tolvi, 2003. "Long memory and outliers in stock market returns," Applied Financial Economics, Taylor & Francis Journals, vol. 13(7), pages 495-502.
  • Handle: RePEc:taf:apfiec:v:13:y:2003:i:7:p:495-502
    DOI: 10.1080/09603100210161983
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    References listed on IDEAS

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    1. Ooms, M. & Doornik, J.A., 1999. "Inference and Forecasting for Fractional Autoregressive Integrated Moving Average Models, with an application to US and UK inflation," Econometric Institute Research Papers EI 9947/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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    Cited by:

    1. Janus, Paweł & Koopman, Siem Jan & Lucas, André, 2014. "Long memory dynamics for multivariate dependence under heavy tails," Journal of Empirical Finance, Elsevier, vol. 29(C), pages 187-206.
    2. Guglielmo Maria Caporale & Juncal Cuñado & Luis A. Gil-Alana, 2013. "Modelling long-run trends and cycles in financial time series data," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(3), pages 405-421, May.
    3. Emmanuel Anoruo & Luis Gil-Alana, 2011. "Mean reversion and long memory in African stock market prices," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 35(3), pages 296-308, July.
    4. Bariviera, Aurelio F. & Basgall, María José & Hasperué, Waldo & Naiouf, Marcelo, 2017. "Some stylized facts of the Bitcoin market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 82-90.
    5. Hull, Matthew & McGroarty, Frank, 2014. "Do emerging markets become more efficient as they develop? Long memory persistence in equity indices," Emerging Markets Review, Elsevier, vol. 18(C), pages 45-61.
    6. Emmanuel Numapau Gyamfi & Kwabena Kyei & Kwabena Kyei, 2016. "Long - Memory Persistence in African Stock Markets," EuroEconomica, Danubius University of Galati, issue 1(35), pages 83-91, may.
    7. repec:kap:empiri:v:45:y:2018:i:1:d:10.1007_s10663-016-9340-8 is not listed on IDEAS
    8. Guglielmo Maria Caporale & Luis A. Gil‐Alana & James C. Orlando, 2016. "Linkages Between the US and European Stock Markets: A Fractional Cointegration Approach," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 21(2), pages 143-153, April.
    9. Christian M. Hafner & Arie Preminger, 2016. "The effect of additive outliers on a fractional unit root test," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(4), pages 401-420, October.
    10. Jussi Tolvi, 2003. "Long memory in a small stock market," Economics Bulletin, AccessEcon, vol. 7(3), pages 1-13.
    11. Gil-Alana, L.A., 2006. "Fractional integration in daily stock market indexes," Review of Financial Economics, Elsevier, vol. 15(1), pages 28-48.
    12. Auer, Benjamin R., 2016. "On time-varying predictability of emerging stock market returns," Emerging Markets Review, Elsevier, vol. 27(C), pages 1-13.
    13. Lisana B. Martinez & M. Belén Guercio & Aurelio Fernandez Bariviera & Antonio Terceño, 2018. "The impact of the financial crisis on the long-range memory of European corporate bond and stock markets," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(1), pages 1-15, February.
    14. Adnan Kasman & Erdost Torun, 2007. "Long Memory in the Turkish Stock Market Return and Volatility," Central Bank Review, Research and Monetary Policy Department, Central Bank of the Republic of Turkey, vol. 7(2), pages 13-27.
    15. Luis A. Gil-Alana & Yun Cao, 2011. "Stock market prices in China. Efficiency, mean reversion, long memory volatility and other implicit dynamics," Faculty Working Papers 12/11, School of Economics and Business Administration, University of Navarra.
    16. Luis A. Gil-Alana & Trilochan Tripathy, 2016. "Long Range Dependence in the Indian Stock Market: Evidence of Fractional Integration, Non-Linearities and Breaks," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 14(2), pages 199-215, December.
    17. repec:eee:matcom:v:146:y:2018:i:c:p:27-43 is not listed on IDEAS
    18. Kasman, Adnan & Kasman, Saadet & Torun, Erdost, 2009. "Dual long memory property in returns and volatility: Evidence from the CEE countries' stock markets," Emerging Markets Review, Elsevier, vol. 10(2), pages 122-139, June.
    19. Mansour Zarra-Nezhad & Ali Raoofi & Mohammad Hadi Akbarzdeh, 2016. "The Existence of Long Memory Property in OPEC Oil Prices," Asian Journal of Economic Modelling, Asian Economic and Social Society, vol. 4(3), pages 142-152, September.

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