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Replicating financial market dynamics with a simple self-organized critical lattice model

  • B. Dupoyet
  • H. R. Fiebig
  • D. P. Musgrove
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    We explore a simple lattice field model intended to describe statistical properties of high frequency financial markets. The model is relevant in the cross-disciplinary area of econophysics. Its signature feature is the emergence of a self-organized critical state. This implies scale invariance of the model, without tuning parameters. Prominent results of our simulation are time series of gains, prices, volatility, and gains frequency distributions, which all compare favorably to features of historical market data. Applying a standard GARCH(1,1) fit to the lattice model gives results that are almost indistinguishable from historical NASDAQ data.

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    Paper provided by in its series Papers with number 1010.4831.

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    Date of creation: Oct 2010
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    Handle: RePEc:arx:papers:1010.4831
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    1. Ausloos, Marcel & Clippe, Paulette & Pȩkalski, Andrzej, 2004. "Evolution of economic entities under heterogeneous political/environmental conditions within a Bak–Sneppen-like dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 394-402.
    2. Kirill Ilinski, 1997. "Physics of Finance," Papers hep-th/9710148,
    3. Bak, P. & Paczuski, M. & Shubik, M., 1997. "Price variations in a stock market with many agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 430-453.
    4. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
    5. Ser-Huang Poon & Clive W.J. Granger, 2003. "Forecasting Volatility in Financial Markets: A Review," Journal of Economic Literature, American Economic Association, vol. 41(2), pages 478-539, June.
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