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Bubble, Critical Zone and the Crash of Royal Ahold

Author

Listed:
  • G. Broekstra

    (Nyenrode Univ.)

  • D. Sornette

    (CNRS-Univ. Nice and UCLA)

  • W. -X. Zhou

    (UCLA)

Abstract

Our analysis of financial data, in terms of super-exponential growth, suggests that the seed of the 2002/03 crisis of the Dutch supermarket giant AHOLD was planted in 1996. It became quite visible in 1999 when the post-bubble destabilization regime was well-developed and acted as the precursor of an inevitable collapse fueled by raising expectations of investors to maintain strong herding pressures. We have adapted Weidlich's theory of opinion formation to describe the formation of buy or sell decisions among investors, based on a competition between the mechanisms of herding and of personal opinion opposing the herd. Among four typical patterns of stock price evolution, we have identified a ``critical zone'' in the model characterized by a strong sensitivity of the price trajectory on the herding and personal inclination parameters. The critical zone describes the maturation of a systemic instability forewarning of an inevitable crash. Classification and recognition of the spontaneous emergence of patterns of stock market evolution based on Weidlich's theory of complex systems, and in particular our discovery of the post-bubble destabilization regime which acts as a precursor to a subsequent crash or antibubble, not only presents the possibility of developing early warning signals but also suggests to top management ways of dealing with the coming crisis.

Suggested Citation

  • G. Broekstra & D. Sornette & W. -X. Zhou, 2004. "Bubble, Critical Zone and the Crash of Royal Ahold," Papers cond-mat/0403563, arXiv.org.
  • Handle: RePEc:arx:papers:cond-mat/0403563
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    References listed on IDEAS

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    1. Shleifer, Andrei, 2000. "Inefficient Markets: An Introduction to Behavioral Finance," OUP Catalogue, Oxford University Press, number 9780198292272, Decembrie.
    2. Levy, Haim & Levy, Moshe & Solomon, Sorin, 2000. "Microscopic Simulation of Financial Markets," Elsevier Monographs, Elsevier, edition 1, number 9780124458901.
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    Cited by:

    1. Xing, Dun-Zhong & Li, Hai-Feng & Li, Jiang-Cheng & Long, Chao, 2021. "Forecasting price of financial market crash via a new nonlinear potential GARCH model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Yukalov, V.I. & Sornette, D. & Yukalova, E.P., 2009. "Nonlinear dynamical model of regime switching between conventions and business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 206-230, May.
    3. Zhou, Wei-Xing & Sornette, Didier, 2008. "Analysis of the real estate market in Las Vegas: Bubble, seasonal patterns, and prediction of the CSW indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 243-260.
    4. V. I. Yukalov & D. Sornette & E. P. Yukalova, 2007. "Nonlinear Dynamical Model of Regime Switching Between Conventions and Business Cycles," Papers nlin/0701014, arXiv.org.
    5. Phillips, Emir & Desmoulins-Lebeault, Francois, 2018. "An FSB board member can better align corporate governance with SIFI sustainability," The Quarterly Review of Economics and Finance, Elsevier, vol. 70(C), pages 112-120.

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