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Microscopic models for long ranged volatility correlations

Author

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  • Giardina, Irene
  • Bouchaud, Jean-Philippe
  • Mézard, Marc

Abstract

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between ‘active’ and ‘inactive’ strategies is subordinated to random-walk like processes. We numerically demonstrate our scenario in the framework of simplified market models, such as the Minority Game model with an inactive strategy, or a more sophisticated version that includes some price dynamics. We show that real market data can be surprisingly well accounted for by these simple models.

Suggested Citation

  • Giardina, Irene & Bouchaud, Jean-Philippe & Mézard, Marc, 2001. "Microscopic models for long ranged volatility correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 28-39.
    • Handle: RePEc:eee:phsmap:v:299:y:2001:i:1:p:28-39
    DOI: 10.1016/S0378-4371(01)00280-1
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    References listed on IDEAS

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    1. Jean-Philippe Bouchaud, 2000. "Power-laws in economics and finance: some ideas from physics," Science & Finance (CFM) working paper archive 500023, Science & Finance, Capital Fund Management.
    2. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871, September.
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    Citations

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    Cited by:

    1. T. T. Chen & B. Zheng & Y. Li & X. F. Jiang, 2017. "New approaches in agent-based modeling of complex financial systems," Papers 1703.06840, arXiv.org.
    2. Mine Caglar, 2011. "Stock Price Processes with Infinite Source Poisson Agents," Papers 1106.6300, arXiv.org.
    3. Kiniwa, Jun & Koide, Takeshi & Sandoh, Hiroaki, 2009. "Analysis of price behavior in lazy $-game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3879-3891.
    4. Jun-Jie Chen & Lei Tan & Bo Zheng, 2015. "Agent-based model with multi-level herding for complex financial systems," Papers 1504.01811, arXiv.org.
    5. Kang, Sang Hoon & Yoon, Seong-Min, 2008. "Long memory features in the high frequency data of the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5189-5196.
    6. Matteo Ortisi & Valerio Zuccolo, 2012. "From Minority Game to Black & Scholes pricing," Papers 1205.2521, arXiv.org, revised May 2013.
    7. Jun-jie Chen & Bo Zheng & Lei Tan, 2014. "Agent-based model with asymmetric trading and herding for complex financial systems," Papers 1407.5258, arXiv.org.
    8. Wagner, D.C. & Schmitt, T.A. & Schäfer, R. & Guhr, T. & Wolf, D.E., 2014. "Analysis of a decision model in the context of equilibrium pricing and order book pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 347-353.
    9. F. Y. Ouyang & B. Zheng & X. F. Jiang, 2014. "Spatial and temporal structures of four financial markets in Greater China," Papers 1402.1046, arXiv.org.
    10. Ren, F. & Zheng, B. & Chen, P., 2010. "Modeling interactions of trading volumes in financial dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2744-2750.
    11. Ouyang, F.Y. & Zheng, B. & Jiang, X.F., 2014. "Spatial and temporal structures of four financial markets in Greater China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 236-244.
    12. repec:ebl:ecbull:v:7:y:2007:i:15:p:1-8 is not listed on IDEAS
    13. Jun-Jie Chen & Bo Zheng & Lei Tan, 2013. "Agent-Based Model with Asymmetric Trading and Herding for Complex Financial Systems," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-11, November.
    14. Ferreira, Fernando F & Francisco, Gerson & Machado, Birajara S & Muruganandam, Paulsamy, 2003. "Time series analysis for minority game simulations of financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 619-632.
    15. Ouyang, Fang-Yan & Zheng, Bo & Jiang, Xiong-Fei, 2019. "Dynamic fluctuations of cross-correlations in multi-time scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 515-521.
    16. Ferreira, Fernando F. & Marsili, Matteo, 2005. "Real payoffs and virtual trading in agent based market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 657-675.
    17. Matei Demetrescu, 2007. "Volatility Clustering in High-Frequency Data: A self-fulfilling prophecy?," Economics Bulletin, AccessEcon, vol. 7(15), pages 1-8.

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