Simulations of financial markets in a Potts-like model

Details Simulations of financial markets in a Potts-like model Simulations of financial markets in a Potts-like model

2005-03-07

arxiv.org/abs/cond-mat/0503156v1

Int. J. Mod. Phys. C 16, 1311 (2005)

Physics

Condensed Matter

Other Condensed Matter

8 pages, 5 figures

Scientific paper

10.1142/S0129183105007923

A three-state model based on the Potts model is proposed to simulate financial markets. The three states are assigned to "buy", "sell" and "inactive" states. The model shows the main stylized facts observed in the financial market: fat-tailed distributions of returns and long time correlations in the absolute returns. At low inactivity rate, the model effectively reduces to the two-state model of Bornholdt and shows similar results to the Bornholdt model. As the inactivity increases, we observe the exponential distributions of returns.

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