Effect of trading momentum and price resistance on stock market dynamics: a Glauber Monte Carlo simulation

A Monte Carlo computer simulation model is presented to study the evolution of stock price and the distribution of price fluctuation. The resistance is described by an elastic energy Ee=e·x2 resulting from the price deviation x from an initial value and the momentum trading by the potential energy Ep=−b·y in a price gradient y field. The distribution of price fluctuation (P(y)) is symmetric and shows a long time tail compatible over some range with a power-law, P(y)∼y−μ with μ≃4 at e=1.0,b=5. The volatility auto-correlation function (c(τ)) is positive for several iterations.