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Nonlinear behaviour of the Chinese SSEC index with a unit root: Evidence from threshold unit root tests

  • Qian, Xi-Yuan
  • Song, Fu-Tie
  • Zhou, Wei-Xing
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    We have investigated the behaviour of the Shanghai Stock Exchange Composite (SSEC) index for the period from 1990:12 to 2007:06 using an unconstrained two-regime threshold autoregressive (TAR) model with a unit root developed by Caner and Hansen. The method allows us to simultaneously consider nonstationarity and nonlinearity in time series that has regime switching. Our finding indicates that the Shanghai stock market exhibits nonlinear behaviour with two regimes and has unit roots in both regimes. The important implications of the threshold effect in stock markets are also discussed.

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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 387 (2008)
    Issue (Month): 2 ()
    Pages: 503-510

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    Handle: RePEc:eee:phsmap:v:387:y:2008:i:2:p:503-510
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    1. Johansen, Anders, 2003. "Characterization of large price variations in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 157-166.
    2. Bruce E. Hansen & Mehmet Caner, 1997. "Threshold Autoregressions with a Unit Root," Boston College Working Papers in Economics 381, Boston College Department of Economics.
    3. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    4. Sornette, Didier & Zhou, Wei-Xing, 2006. "Predictability of large future changes in major financial indices," International Journal of Forecasting, Elsevier, vol. 22(1), pages 153-168.
    5. 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.
    6. 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 1057-72, June.
    7. Zhou, Wei-Xing & Sornette, Didier, 2004. "Antibubble and prediction of China's stock market and real-estate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 243-268.
    8. Basci Erdem & Caner Mehmet & Yoon Gawon, 2006. "Corrigendum to "Are Real Exchange Rates Nonlinear or Non-Stationary? Evidence from a New Threshold Unit Root Test"," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(2), pages 1-6, May.
    9. Paresh Kumar Narayan, 2005. "Are the Australian and New Zealand stock prices nonlinear with a unit root?," Applied Economics, Taylor & Francis Journals, vol. 37(18), pages 2161-2166.
    10. D. Sornette, 2003. "Critical Market Crashes," Papers cond-mat/0301543, arXiv.org.
    11. Basci Erdem & Caner Mehmet, 2005. "Are Real Exchange Rates Nonlinear or Nonstationary? Evidence from a New Threshold Unit Root Test," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-21, December.
    12. Shively, Philip A., 2003. "The nonlinear dynamics of stock prices," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(3), pages 505-517.
    13. A. Johansen & D. Sornette, 1998. "Stock market crashes are outliers," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 1(2), pages 141-143, January.
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