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A minimal noise trader model with realistic time series properties

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dc.creator Alfarano, Simone
dc.creator Lux, Thomas
dc.date 2006
dc.date.accessioned 2013-10-16T06:05:32Z
dc.date.available 2013-10-16T06:05:32Z
dc.date.issued 2013-10-16
dc.identifier http://hdl.handle.net/10419/3922
dc.identifier ppn:520839188
dc.identifier RePEc:zbw:cauewp:5158
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/10419/3922
dc.description 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.
dc.language eng
dc.publisher Institut für Volkswirtschaftslehre, Kiel
dc.relation Economics working paper / Christian-Albrechts-Universität Kiel, Department of Economics 2006,11
dc.rights http://www.econstor.eu/dspace/Nutzungsbedingungen
dc.subject G12
dc.subject C61
dc.subject ddc:330
dc.subject Herd Behavior
dc.subject Speculative Dynamics
dc.subject Fat Tails
dc.subject Volatility Clustering
dc.subject Kapitalertrag
dc.subject Börsenkurs
dc.subject Finanzmarkt
dc.subject Noise Trading
dc.subject Devisenspekulation
dc.subject Mikrostrukturanalyse
dc.subject Anlageverhalten
dc.subject Zeitreihenanalyse
dc.subject Theorie
dc.title A minimal noise trader model with realistic time series properties
dc.type doc-type:workingPaper


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