Summary
The common assumption of universal behavior in stock market data can sometimes lead to false conclusions. In statistical physics, the Hurst exponents characterizing long-range correlations are often closely related to universal exponents. We show, that in the case of time series of the traded value, these Hurst exponents increase logarithmically with company size, and thus are non-universal. Moreover, the average transaction size shows scaling with the mean transaction frequency for large enough companies. We present a phenomenological scaling framework that properly accounts for such dependencies.
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References
T. Vicsek, editor. Fluctuations and Scaling in Biology. Oxford University Press, USA, 2001.
P.W. Anderson, editor. The Economy As an Evolving Complex System (Santa Fe Institute Studies in the Sciences of Complexity Proceedings), 1988.
J. Kertész and I. Kondor, editors. Econophysics: An Emergent Science, http://newton.phy.bme.hu/~kullmann/Egyetem/konyv.html. 1997.
J.-P. Bouchaud and M. Potters. Theory of Financial Risk. Cambridge University Press, Cambridge, 2000.
R.N. Mantegna and H.E. Stanley. Introduction to Econophysics: Correlations and Complexity in Finance. Cambridge University Press, 1999.
M. Gallegatti, S. Keen, T. Luxand P. Ormerod. Worrying trends in econophysics. http://www.unifr.ch/econophysics,doc/0601001; to appear in Physica A, Proceedings of the World Econophysics Colloquium, Canberra, 2005
Z. Eisler and J. Kertész. Scaling theory of temporal correlations and size dependent fluctuations in the traded value of stocks. arXiv:physics/0510058, 2005. to appear in Phys. Rev. E.
Trades and Quotes Database for 1993–2003, New York Stock Exchange, New York.
Z. Eisler, J. Kertész, S.-H. Yook, and A.-L. Barabási. Multiscaling and non-universality in fluctuations of driven complex systems. Europhys. Lett., 69:664–670, 2005.
Z. Eisler and J. Kertész. Size matters: some stylized facts of the market revisited. arXiv:physics/0508156, 2005.
G. Zumbach. How trading activity scales with company size in the FTSE 100. Quantitative Finance, 4:441–456, 2004.
P. Gopikrishnan, V. Plerou, X. Gabaix, and H.E. Stanley. Statistical properties of share volume traded in financial markets. Phys. Rev. E, 62:4493–4496, 2000.
R. Cont. Empirical properties of asset returns: stylized facts and statistical issues. Quantitative Finance, 1:223–236, 2001.
G. Bonanno, F. Lillo, and R.N. Mantegna. Dynamics of the number of trades of financial securities. Physica A, 280:136–141, 2000.
S.M.D. Queirós. On the distribution of high-frequency stock market traded volume: a dynamical scenario. Europhys. Lett., 71:339–345, 2005.
T. Vicsek. Fractal Growth Phenomena. World Scientific Publishing, 1992.
J.W. Kantelhardt, S.A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, and H.E. Stanley. Physica A, 316:87–114, 2002.
M.A. de Menezes and A.-L. Barabási. Fluctuations in network dynamics. Phys. Rev. Lett., 92:28701, 2004.
Z. Eisler and J. Kertész. Random walks on complex networks with inhomogeneous impact. Phys. Rev. E, 71:057104, 2005.
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Eisler, Z., Kertész, J. (2006). Why do Hurst Exponents of Traded Value Increase as the Logarithm of Company Size?. In: Chatterjee, A., Chakrabarti, B.K. (eds) Econophysics of Stock and other Markets. New Economic Windows. Springer, Milano. https://doi.org/10.1007/978-88-470-0502-0_5
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DOI: https://doi.org/10.1007/978-88-470-0502-0_5
Publisher Name: Springer, Milano
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