Suche Kontakt Impressum

Institut für VWL | UnivIS | ERASMUS | QIS | Site Plan

Christian-Albrechts-Universität zu Kiel

Institut für Volkswirtschaftslehre - Department of Economics
Economics Working Papers

Economics Working Papers: Abstract 2003-15


Nummer

2003-15

Autoren

Simone Alfarano, Thomas Lux

 

Titel

 

A Minimal Noise Trader Model with Realistic Time Series Properties - A revised version of this paper is available as EWP 2006-11
Abstract Simulations of agent-based models have shown that the stylized facts (unit-root, fat tails and volatility clustering) of financial markets have a possible explanation in the interactions among agents. However, the complexity, originating from the presence of non-linearity and interactions, often limits the analytical approach to the dynamics of these models. In this paper we show that even a very simple model of a financial market with heterogeneous interacting agents is capable of reproducing realistic statistical properties of returns, in close quantitative accordance with the empirical analysis. The simplicity of the system also permits some analytical insights using concepts from statistical mechanics and physics. In our model, the traders are divided into two groups: fundamentalists and chartists, and their interactions are based on a variant of the herding mechanism introduced by Kirman [22]. The statistical analysis of our simulated data shows long-term dependence in the auto-correlations of squared and absolute returns and hyperbolic decay in the tail of the distribution of the raw returns, both with estimated decay parameters in the same range like empirical data. Theoretical analysis, however, excludes the possibility of ’true’ scaling behavior because of the Markovian nature of the underlying process and the finite set of possible realized returns. The model, therefore, only mimics power law behavior. Similarly as with the phenomenological volatility models analyzed in LeBaron [25], the usual statistical tests are not able to distinguish between true or pseudo-scaling laws in the dynamics of our artificial market.

Keywords:

JEL classification:

 

Links

 

weiter zum Full Text

zurück zur Übersicht