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Deterministic Nonlinearity in the Stock Returns of Major European Equity Markets and the United States


  • Pandey, Vivek
  • Kohers, Theodor
  • Kohers, Gerald


By using recently developed statistical tools designed to overcome some of the limitations often associated with financial data, this study attempts to detect low-dimensional deterministic chaos in five major European stock markets and the United States. Country indexes exhibiting low-dimensional deterministic chaos may contain some informational inefficiency; thus, it may be possible to use nonlinear dynamics to predict future stock returns. The results do not provide evidence of the existence of low-dimensional chaotic systems in any of the examined indexes. As such, the notion of market efficiency in the examined indexes is not threatened by the findings of this study. Copyright 1998 by MIT Press.

Suggested Citation

  • Pandey, Vivek & Kohers, Theodor & Kohers, Gerald, 1998. "Deterministic Nonlinearity in the Stock Returns of Major European Equity Markets and the United States," The Financial Review, Eastern Finance Association, vol. 33(1), pages 45-63, February.
  • Handle: RePEc:bla:finrev:v:33:y:1998:i:1:p:45-63

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    References listed on IDEAS

    1. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    2. Cecchetti, Stephen G & Cumby, Robert E & Figlewski, Stephen, 1988. "Estimation of the Optimal Futures Hedge," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 623-630, November.
    3. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    4. Ederington, Louis H, 1979. "The Hedging Performance of the New Futures Markets," Journal of Finance, American Finance Association, vol. 34(1), pages 157-170, March.
    5. Hall, Anthony D & Anderson, Heather M & Granger, Clive W J, 1992. "A Cointegration Analysis of Treasury Bill Yields," The Review of Economics and Statistics, MIT Press, vol. 74(1), pages 116-126, February.
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    Cited by:

    1. Cheteni, Priviledge, 2013. "Non-linearity behaviour of the ALBI Index: A case of Johannesburg Stock Exchange in South Africa," MPRA Paper 56369, University Library of Munich, Germany.
    2. Mishra, Ritesh Kumar & Sehgal, Sanjay & Bhanumurthy, N.R., 2011. "A search for long-range dependence and chaotic structure in Indian stock market," Review of Financial Economics, Elsevier, vol. 20(2), pages 96-104, May.
    3. Shively, Philip A., 2007. "Asymmetric temporary and permanent stock-price innovations," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 120-130, January.
    4. Narayan, Paresh Kumar, 2006. "The behaviour of US stock prices: Evidence from a threshold autoregressive model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(2), pages 103-108.
    5. Van Heerden, Dorathea & Rodrigues, Jose & Hockly, Dale & Lambert, Bongani & Taljard, Tjaart & Phiri, Andrew, 2013. "Efficient Market Hypothesis in South Africa: Evidence from a threshold autoregressive (TAR) model," MPRA Paper 50544, University Library of Munich, Germany.
    6. Mattarocci, Gianluca, 2006. "Market characteristics and chaos dynamics in stock markets: an international comparison," MPRA Paper 4296, University Library of Munich, Germany, revised Jun 2006.
    7. Shively, Philip A., 2003. "The nonlinear dynamics of stock prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(3), pages 505-517.

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