A Mean-Field Stochastic Model of Market Dynamics

Summary

The document outlines a stochastic market model that divides participants into trend-followers and fundamentalists. It uses these groups to derive a general equation for price dynamics, with market behavior also influenced by news flow. The model distinguishes two time scales: changes in the market environment and the arrival of news. In its general form, three stochastic processes represent the effects of the two participant groups and news, respectively.

The authors say the model can reproduce several features associated with real markets, including behavior across multiple time scales, volatility clustering, and weak correlations between price changes on successive trading days. These are presented as properties demonstrated by the model; the document provides no equations, parameter choices, data, or quantitative tests in the supplied text. It therefore gives a high-level account of the framework, but not enough detail to assess how the results depend on its assumptions or how well it fits particular markets.

Key ideas

• The model divides market participants into trend-followers and fundamentalists.
• Market dynamics also depend on a stochastic process representing news flow.
• The framework distinguishes environmental changes from the time scale of news arrival.
• The authors report that the model can reproduce multiscale behavior and volatility clustering.

Tags

# On Simple Mean-Field Stochastic Model of Market Dynamics


# On Simple Mean-Field Stochastic Model of Market Dynamics









We propose a simple stochastic model of market behavior. Dividing market participants into two groups: trend-followers and fundamentalists, we derive the general form of a stochastic equation of market dynamics. The model has two characteristic time scales: the time of changes of market environment and the characteristic time of news flow. Price behavior in the most general case is driven by three stochastic processes, attributed to trend-followers, fundamentalists, and news flow, respectively. The model demonstrates the wide range of peculiarities which are typical in real markets: multiscale behavior, clustered volatility, weak correlations between the price changes on successive trading days, etc.

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