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Stock market dynamics: Before and after stock market crashes

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  • Siokis, Fotios M.
Abstract
This paper presents a brief analysis on the distribution of magnitude of major stock market shocks. Based on the Gutenberg–Richter law in geophysics, we model the dynamics of market index returns prior and after major crashes in search of statistical regularities. For a large number of market crashes, our analysis suggests that the distribution of market volatility before and after the stock market crash is described well by the Gutenberg–Richter law, which reflects the scale-invariance and self-similarity of the underlying dynamics by a robust power-law relation. In addition, the rate of the decay of the aftershock sequence is well described by another power law, which is known as the Omori law. Power law relaxation seems to be a common behavior observed in complex systems such as the financial markets.

Suggested Citation

  • Siokis, Fotios M., 2012. "Stock market dynamics: Before and after stock market crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1315-1322.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:4:p:1315-1322
    DOI: 10.1016/j.physa.2011.08.068
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    1. repec:bla:jfinan:v:44:y:1989:i:3:p:557-69 is not listed on IDEAS
    2. Harrison Hong & Jeremy C. Stein, 2003. "Differences of Opinion, Short-Sales Constraints, and Market Crashes," The Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 487-525.
    3. Stauffer, Dietrich & Sornette, Didier, 1999. "Self-organized percolation model for stock market fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(3), pages 496-506.
    4. Gennotte, Gerard & Leland, Hayne, 1990. "Market Liquidity, Hedging, and Crashes," American Economic Review, American Economic Association, vol. 80(5), pages 999-1021, December.
    5. Mu, Guo-Hua & Zhou, Wei-Xing, 2008. "Relaxation dynamics of aftershocks after large volatility shocks in the SSEC index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5211-5218.
    6. Levy, Moshe & Levy, Haim & Solomon, Sorin, 1994. "A microscopic model of the stock market : Cycles, booms, and crashes," Economics Letters, Elsevier, vol. 45(1), pages 103-111, May.
    7. In Ho Lee, 1998. "Market Crashes and Informational Avalanches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(4), pages 741-759.
    8. Joseph Zeira, 2000. "Informational overshooting, booms and crashes," Proceedings, Federal Reserve Bank of San Francisco, issue Apr.
    9. Sornette, Didier & Johansen, Anders, 1998. "A hierarchical model of financial crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 581-598.
    10. Barlevy, Gadi & Veronesi, Pietro, 2003. "Rational panics and stock market crashes," Journal of Economic Theory, Elsevier, vol. 110(2), pages 234-263, June.
    11. Alexander M. Petersen & Fengzhong Wang & Shlomo Havlin & H. Eugene Stanley, 2010. "Market dynamics immediately before and after financial shocks: quantifying the Omori, productivity and Bath laws," Papers 1006.1882, arXiv.org, revised Oct 2010.
    12. Madrigal, Vicente & Scheinkman, Jose A., 1997. "Price Crashes, Information Aggregation, and Market-Making," Journal of Economic Theory, Elsevier, vol. 75(1), pages 16-63, July.
    13. Cont, Rama & Bouchaud, Jean-Philipe, 2000. "Herd Behavior And Aggregate Fluctuations In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 4(2), pages 170-196, June.
    14. Alan Kraus & Maxwell Smith, 1989. "Market Created Risk," Journal of Finance, American Finance Association, vol. 44(3), pages 557-569, July.
    15. Fabrizio Lillo & Rosario N. Mantegna, 2001. "Power law relaxation in a complex system: Omori law after a financial market crash," Papers cond-mat/0111257, arXiv.org, revised Jun 2003.
    16. Selçuk, Faruk, 2004. "Financial earthquakes, aftershocks and scaling in emerging stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 333(C), pages 306-316.
    17. Focardi, Sergio & Cincotti, Silvano & Marchesi, Michele, 2002. "Self-organization and market crashes," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 241-267, October.
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