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Applications of statistical mechanics to finance

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  • Mantegna, Rosario N
  • Palágyi, Zoltán
  • Stanley, H.Eugene

Abstract

We discuss some apparently “universal” aspects observed in the empirical analysis of stock price dynamics in financial markets. Specifically we consider (i) the empirical behavior of the return probability density function and (ii) the content of economic information in financial time series.

Suggested Citation

  • Mantegna, Rosario N & Palágyi, Zoltán & Stanley, H.Eugene, 1999. "Applications of statistical mechanics to finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 216-221.
    • Handle: RePEc:eee:phsmap:v:274:y:1999:i:1:p:216-221
    DOI: 10.1016/S0378-4371(99)00395-7
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    1. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871.
    2. Parameswaran Gopikrishnan & Vasiliki Plerou & Luis A. Nunes Amaral & Martin Meyer & H. Eugene Stanley, 1999. "Scaling of the distribution of fluctuations of financial market indices," Papers cond-mat/9905305, arXiv.org.
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    Cited by:

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    2. Lemmens, D. & Liang, L.Z.J. & Tempere, J. & De Schepper, A., 2010. "Pricing bounds for discrete arithmetic Asian options under Lévy models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5193-5207.
    3. Miśkiewicz, Janusz & Tadla, Adrian & Trela, Zenon, 2019. "Does the monetary policy influenced cross-correlations on the main world stocks markets? Power Law Classification Scheme analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 72-81.
    4. Jianrong Wei & Jiping Huang, 2012. "An Exotic Long-Term Pattern in Stock Price Dynamics," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-5, December.
    5. Lu Liu & Jianrong Wei & Jiping Huang, 2013. "Scaling and Volatility of Breakouts and Breakdowns in Stock Price Dynamics," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-6, December.
    6. Mahdi Moradi & Mehdi Jabbari Nooghabi & Mohammad Mahdi Rounaghi, 2021. "Investigation of fractal market hypothesis and forecasting time series stock returns for Tehran Stock Exchange and London Stock Exchange," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 662-678, January.
    7. Javier Morales & V'ictor Tercero & Fernando Camacho & Eduardo Cordero & Luis L'opez & F-Javier Almaguer, 2014. "Trend and Fractality Assessment of Mexico's Stock Exchange," Papers 1411.3399, arXiv.org.
    8. Hendrik J. Blok, 2000. "On the nature of the stock market: Simulations and experiments," Papers cond-mat/0010211, arXiv.org.
    9. Zhang, H.S. & Shen, X.Y. & Huang, J.P., 2016. "Pattern of trends in stock markets as revealed by the renormalization method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 340-346.
    10. Anca Gheorghiu & Ion Sp^anulescu, 2011. "Macrostate Parameter and Investment Risk Diagrams for 2008 and 2009," Papers 1101.4674, arXiv.org.
    11. Li, Da-Ye & Nishimura, Yusaku & Men, Ming, 2014. "Fractal markets: Liquidity and investors on different time horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 144-151.
    12. 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.
    13. Wei, J.R. & Huang, J.P. & Hui, P.M., 2013. "An agent-based model of stock markets incorporating momentum investors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(12), pages 2728-2735.
    14. Ion Spanulescu & Victor A. Stoica & Ion Popescu, 2010. "An Econophysics Model for the Currency Exchange with Commission," Papers 1005.0313, arXiv.org.
    15. Ferreira, Paulo, 2018. "Long-range dependencies of Eastern European stock markets: A dynamic detrended analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 454-470.
    16. Anca Gheorghiu & Ion Spanulescu, 2012. "An Econophysics Model for the Migration Phenomena," Papers 1202.0996, arXiv.org.
    17. Ruzhen Yan & Ding Yue & Xu Wu & Wei Gao, 2023. "Multiscale Multifractal Detrended Fluctuation Analysis and Trend Identification of Liquidity in the China's Stock Markets," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 487-511, February.
    18. Cristescu, Constantin P. & Stan, Cristina & Scarlat, Eugen I. & Minea, Teofil & Cristescu, Cristina M., 2012. "Parameter motivated mutual correlation analysis: Application to the study of currency exchange rates based on intermittency parameter and Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2623-2635.
    19. Morales, Javier & Tercero, Víctor & Camacho-Vallejo, José-Fernando & Cordero, Alvaro E. & López Nerio, Luis E. & Almaguer, F-Javier, 2016. "Trend and fractality assessment of Mexico’s stock exchange," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 103-113.
    20. López Martín, María del Mar & García, Catalina García & García Pérez, José, 2012. "Treatment of kurtosis in financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2032-2045.

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    Econophysics;

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