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Microscopic models for long ranged volatility correlations

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  • Irene Giardina
  • Jean-Philippe Bouchaud

    (Science & Finance, Capital Fund Management
    CEA Saclay;)

  • Marc Mezard

    (Universite Paris Sud (Orsay))

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    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.

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    Bibliographic Info

    Paper provided by Science & Finance, Capital Fund Management in its series Science & Finance (CFM) working paper archive with number 500024.

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    Date of creation: Jan 2001
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    Publication status: Published in Physica A 299 (1-2) (2001) pp. 28-39.
    Handle: RePEc:sfi:sfiwpa:500024

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    Cited by:
    1. 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.
    2. repec:ebl:ecbull:v:7:y:2007:i:15:p:1-8 is not listed on IDEAS
    3. 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.
    4. 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.
    5. Matei Demetrescu, 2007. "Volatility Clustering in High-Frequency Data: A self-fulfilling prophecy?," Economics Bulletin, AccessEcon, vol. 7(15), pages 1-8.
    6. Matteo Ortisi & Valerio Zuccolo, 2012. "From Minority Game to Black & Scholes pricing," Papers 1205.2521, arXiv.org, revised May 2013.
    7. 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.
    8. 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.
    9. Mine Caglar, 2011. "Stock Price Processes with Infinite Source Poisson Agents," Papers 1106.6300, arXiv.org.

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