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Time spans between price maxima and price minima in stock markets

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  • Zou, Yongjie
  • Li, Honggang

Abstract

We empirically investigate the distribution of time spans between price maxima and price minima in international stock markets, where a time span is defined as the time interval between a local price minimum and a local price maximum, and local price extrema are identified by a method introduced by Preis and Stanley (Preis et al. (2011), Preis (2011), Preis and Stanley (2011, 2010), Preis (2010), Preis and Stanley (2010), Stanley et al. (2010), Preis and Stanley (2009)). The empirical results show that both the tail distributions of time spans from local price maxima to local price minima and the tail distributions of time spans from local price minima to local price maxima yield an exponential distribution. In addition, price rise/fall asymmetry is observed by comparing the values of the exponents of the distribution curves. These results are robust across eight representative stock markets.

Suggested Citation

  • Zou, Yongjie & Li, Honggang, 2014. "Time spans between price maxima and price minima in stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 303-309.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:303-309
    DOI: 10.1016/j.physa.2013.10.024
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    1. Ingve Simonsen & Mogens H. Jensen & Anders Johansen, 2002. "Optimal Investment Horizons," Papers cond-mat/0202352, arXiv.org.
    2. A. Johansen & I. Simonsen & M. H. Jensen, 2006. "Optimal Investment Horizons for Stocks and Markets," Papers physics/0601002, arXiv.org.
    3. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-280, April.
    4. J-P. Bouchaud, 2001. "Power laws in economics and finance: some ideas from physics," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 105-112.
    5. Greene, Myron T. & Fielitz, Bruce D., 1977. "Long-term dependence in common stock returns," Journal of Financial Economics, Elsevier, vol. 4(3), pages 339-349, May.
    6. Jensen, Mogens H. & Johansen, Anders & Simonsen, Ingve, 2003. "Inverse statistics in economics: the gain–loss asymmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 338-343.
    7. Jensen, M.H & Johansen, A & Petroni, F & Simonsen, I, 2004. "Inverse statistics in the foreign exchange market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 678-684.
    8. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    9. Lamoureux, Christopher G & Lastrapes, William D, 1990. "Heteroskedasticity in Stock Return Data: Volume versus GARCH Effects," Journal of Finance, American Finance Association, vol. 45(1), pages 221-229, March.
    10. B. Podobnik & D. F. Fu & H. E. Stanley & P. Ch. Ivanov, 2007. "Power-law autocorrelated stochastic processes with long-range cross-correlations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(1), pages 47-52, March.
    11. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-155, January.
    12. Chen, Gong-meng & Firth, Michael & Rui, Oliver M, 2001. "The Dynamic Relation between Stock Returns, Trading Volume, and Volatility," The Financial Review, Eastern Finance Association, vol. 36(3), pages 153-173, August.
    13. Emeric Balogh & Ingve Simonsen & Balint Zs. Nagy & Zoltan Neda, 2010. "Persistent collective trend in stock markets," Papers 1005.0378, arXiv.org.
    14. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    15. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
    16. Epps, Thomas W & Epps, Mary Lee, 1976. "The Stochastic Dependence of Security Price Changes and Transaction Volumes: Implications for the Mixture-of-Distributions Hypothesis," Econometrica, Econometric Society, vol. 44(2), pages 305-321, March.
    17. Karpio, Krzysztof & Załuska–Kotur, Magdalena A. & Orłowski, Arkadiusz, 2007. "Gain–loss asymmetry for emerging stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 599-604.
    18. Stanley, H.E. & Buldyrev, S.V. & Franzese, G. & Havlin, S. & Mallamace, F. & Kumar, P. & Plerou, V. & Preis, T., 2010. "Correlated randomness and switching phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(15), pages 2880-2893.
    19. I. Simonsen & P. T.H. Ahlgren & M. H. Jensen & R. Donangelo & K. Sneppen, 2007. "Fear and its implications for stock markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(2), pages 153-158, May.
    20. Zakoian, Jean-Michel, 1994. "Threshold heteroskedastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 931-955, September.
    21. Johansen, A. & Simonsen, I. & Jensen, M.H., 2006. "Optimal investment horizons for stocks and markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 64-67.
    22. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    23. Saatcioglu, Kemal & Starks, Laura T., 1998. "The stock price-volume relationship in emerging stock markets: the case of Latin America," International Journal of Forecasting, Elsevier, vol. 14(2), pages 215-225, June.
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