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Why does the power law for stock price hold?

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  • Kaizoji, Taisei
  • Miyano, Michiko

Abstract

The aim of this paper is to explain why the power law for stock price holds. We first show that the complementary cumulative distributions of stock prices follow a power law using a large database assembled from the balance sheets and stock prices of a number of worldwide companies for the period 2004 through 2013. Secondly, we estimate company fundamentals from a simple cross-sectional regression model using three financial indicators-dividends per share, cash flow per share, and book value per share—as explanatory variables for stock price. Thirdly, we demonstrate that the complementary cumulative distributions of fundamentals follow a power law. We find that the power laws for stock prices and for fundamentals hold for the 10-year period of our study, and that the estimated values of the power law exponents are close to unity. Furthermore, we illustrate that the tail distribution of fundamentals closely matches the tail distribution of stock prices. On these grounds, we conclude that the power law for stock price is caused by the power law behavior of the fundamentals.

Suggested Citation

  • Kaizoji, Taisei & Miyano, Michiko, 2016. "Why does the power law for stock price hold?," Chaos, Solitons & Fractals, Elsevier, vol. 88(C), pages 19-23.
    • Handle: RePEc:eee:chsofr:v:88:y:2016:i:c:p:19-23
    DOI: 10.1016/j.chaos.2016.03.015
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    References listed on IDEAS

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    Cited by:

    1. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2019. "Detecting stock market bubbles based on the cross-sectional dispersion of stock prices," CARF F-Series CARF-F-463, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Mizuno, Takayuki & Ohnishi, Takaaki & Watanabe, Tsutomu, 2017. "Stock market bubble detection based on the price dispersion among similar listed Firms," HIT-REFINED Working Paper Series 67, Institute of Economic Research, Hitotsubashi University.
    3. Takayuki Mizuno & Takaaki Ohnishi & Tsutomu Watanabe, 2019. "Detecting stock market bubbles based on the cross-sectional dispersion of stock prices," Working Papers on Central Bank Communication 010, University of Tokyo, Graduate School of Economics.
    4. Chaima Kooli & Raoudha Trabelsi & Fethi Tlili, 2018. "The Impact of Accounting Disclosure On Emerging Stock Market Prediction in an Unstable Socio-Political Context," Journal of Accounting and Management Information Systems, Faculty of Accounting and Management Information Systems, The Bucharest University of Economic Studies, vol. 17(3), pages 313-329, September.
    5. Taisei Kaizoji & Michiko Miyano, 2017. "Zipf's law for share price and company fundamentals," Papers 1702.00144, arXiv.org.
    6. Taisei Kaizoji & Michiko Miyano, 2016. "Stock Market Market Crash of 2008: an empirical study of the deviation of share prices from company fundamentals," Papers 1607.03205, arXiv.org.
    7. Tao, Chen & Zhong, Guang-Yan & Li, Jiang-Cheng, 2023. "Dynamic correlation and risk resonance among industries of Chinese stock market: New evidence from time–frequency domain and complex network perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).

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