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Power law for ensembles of stock prices

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  • Kaizoji, Taisei
  • Kaizoji, Michiyo

Abstract

In this paper, we quantitatively investigate the statistical properties of an ensemble of stock prices. We selected 1200 stocks traded in the Tokyo Stock Exchange and formed a statistical ensemble of daily stock prices for each trading day in the 5 year period from January 4, 1988 to December 30, 1992. We found that the tail of the complementary cumulative distribution function of the ensembles is accurately described by a power-law distribution with an exponent that moves in the range of 1.7<α<2.2.

Suggested Citation

  • Kaizoji, Taisei & Kaizoji, Michiyo, 2004. "Power law for ensembles of stock prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 240-243.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:1:p:240-243
    DOI: 10.1016/j.physa.2004.06.125
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    References listed on IDEAS

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    1. Taisei Kaizoji & Michiyo Kaizoji, 2003. "A mechanism leading bubbles to crashes: the case of Japan's land markets," Papers cond-mat/0312404, arXiv.org, revised Mar 2006.
    2. Fabrizio Lillo & Rosario N. Mantegna, 2000. "Variety and Volatility in Financial Markets," Papers cond-mat/0006065, arXiv.org.
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    Cited by:

    1. Ren, Fei & Gu, Gao-Feng & Zhou, Wei-Xing, 2009. "Scaling and memory in the return intervals of realized volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(22), pages 4787-4796.
    2. Tabak, B.M. & Takami, M.Y. & Cajueiro, D.O. & Petitinga, A., 2009. "Quantifying price fluctuations in the Brazilian stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(1), pages 59-62.
    3. Brée, David S. & Joseph, Nathan Lael, 2013. "Testing for financial crashes using the Log Periodic Power Law model," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 287-297.
    4. Kaizoji, Taisei, 2004. "Inflation and deflation in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 662-668.
    5. Kaizoji, Taisei & Miyano, Michiko, 2016. "Why does the power law for stock price hold?," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 19-23.
    6. Frederic Abergel & Nicolas Huth & Ioane Muni Toke, 2009. "Financial bubbles analysis with a cross-sectional estimator," Papers 0909.2885, arXiv.org.

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