IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v344y2004i1p240-243.html
   My bibliography  Save this article

Power law for ensembles of stock prices

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104009422
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2004.06.125?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Kaizoji, Taisei & Miyano, Michiko, 2016. "Why does the power law for stock price hold?," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 19-23.
    4. 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.
    5. Kaizoji, Taisei, 2004. "Inflation and deflation in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 662-668.
    6. Frederic Abergel & Nicolas Huth & Ioane Muni Toke, 2009. "Financial bubbles analysis with a cross-sectional estimator," Papers 0909.2885, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ivan S. Maksymov, 2023. "Analogue and Physical Reservoir Computing Using Water Waves: Applications in Power Engineering and Beyond," Energies, MDPI, vol. 16(14), pages 1-26, July.
    2. Ion Spanulescu & Victor A. Stoica & Ion Popescu, 2010. "An Econophysics Model for the Currency Exchange with Commission," Papers 1005.0313, arXiv.org.
    3. Gu, Gao-Feng & Zhou, Wei-Xing, 2007. "Statistical properties of daily ensemble variables in the Chinese stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 497-506.
    4. Anca Gheorghiu & Ion Spanulescu, 2012. "An Econophysics Model for the Migration Phenomena," Papers 1202.0996, arXiv.org.
    5. Gorban, Alexander N. & Smirnova, Elena V. & Tyukina, Tatiana A., 2010. "Correlations, risk and crisis: From physiology to finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3193-3217.
    6. Spanulescu, Ion & Popescu, Ion & Stoica, Victor & Gheorghiu, Anca, 2012. "An Econophysics Model for Investments using the Law of the Electric Field Flow (Gauss’ Law)," MPRA Paper 46900, University Library of Munich, Germany.
    7. Zhong, Guang-Yan & Li, Jiang-Cheng & Jiang, George J. & Li, Hai-Feng & Tao, Hui-Ming, 2018. "The time delay restraining the herd behavior with Bayesian approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 335-346.
    8. Borland, Lisa, 2016. "Exploring the dynamics of financial markets: from stock prices to strategy returns," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 59-74.
    9. Demirer, Riza, 2013. "Can advanced markets help diversify risks in frontier stock markets? Evidence from Gulf Arab stock markets," Research in International Business and Finance, Elsevier, vol. 29(C), pages 77-98.
    10. Bhaduri, Saumitra N. & Mahapatra, Siddharth D., 2013. "Applying an alternative test of herding behavior: A case study of the Indian stock market," Journal of Asian Economics, Elsevier, vol. 25(C), pages 43-52.
    11. Riza Demirer & Rangan Gupta & Zhihui Lv & Wing-Keung Wong, 2019. "Equity Return Dispersion and Stock Market Volatility: Evidence from Multivariate Linear and Nonlinear Causality Tests," Sustainability, MDPI, vol. 11(2), pages 1-15, January.
    12. Fabrizio Lillo & Rosario N. Mantegna & Jean-Philippe Bouchaud & Marc Potters, 2001. "Introducing Variety in Risk Management," Papers cond-mat/0107208, arXiv.org.
    13. Wang, Dong-Hua & Yu, Xiao-Wen & Suo, Yuan-Yuan, 2012. "Statistical properties of the yuan exchange rate index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(12), pages 3503-3512.
    14. Marco Airoldi & Vito Antonelli & Bruno Bassetti & Andrea Martinelli & Marco Picariello, 2004. "Long Range Interaction Generating Fat-Tails in Finance," GE, Growth, Math methods 0404006, University Library of Munich, Germany, revised 27 Apr 2004.
    15. Anca Gheorghiu & Ion Sp^anulescu, 2011. "Macrostate Parameter and Investment Risk Diagrams for 2008 and 2009," Papers 1101.4674, arXiv.org.
    16. Alves, P.R.L., 2020. "Dynamic characteristic of Bitcoin cryptocurrency in the reconstruction scheme," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    17. Bouchaud, Jean-Philippe, 2002. "An introduction to statistical finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 238-251.
    18. Gafiychuk, V.V & Datsko, B.Yo & Izmaylova, J, 2004. "Analysis of data clusters obtained by self-organizing methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 547-555.
    19. Frederic Abergel & Nicolas Huth & Ioane Muni Toke, 2009. "Financial bubbles analysis with a cross-sectional estimator," Papers 0909.2885, arXiv.org.
    20. Filippo Petroni & Maurizio Serva, 2015. "Observability of Market Daily Volatility," Papers 1503.08032, arXiv.org.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:344:y:2004:i:1:p:240-243. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.