Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-03-04
Physica A 267, 443 (1999)
Physics
Condensed Matter
Statistical Mechanics
14 pages RevTeX, 5 eps-figures included
Scientific paper
We present a new microscopic stochastic model for an ensemble of interacting investors that buy and sell stocks in discrete time steps via limit orders based on individual forecasts about the price of the stock. These orders determine the supply and demand fixing after each round (time step) the new price of the stock according to which the limited buy and sell orders are then executed and new forecasts are made. We show via numerical simulation of this model that the distribution of price differences obeys an exponentially truncated Levy-distribution with a self similarity exponent mu~5.
Busshaus C.
Rieger Heiko
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