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A noise trader model as a generator of apparent financial power laws and long memory

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dc.creator Alfarano, Simone
dc.creator Lux, Thomas
dc.date 2005
dc.date.accessioned 2013-10-16T06:09:47Z
dc.date.available 2013-10-16T06:09:47Z
dc.date.issued 2013-10-16
dc.identifier http://hdl.handle.net/10419/3679
dc.identifier ppn:498016595
dc.identifier RePEc:zbw:cauewp:3559
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/10419/3679
dc.description In various agent-based models the stylized facts of financial markets (unit-roots, fat tails and volatility clustering) have been shown to emerge from the interactions of agents. However, the complexity of these models often limits their analytical accessibility. In this paper we show that even a very simple model of a financial market with heterogeneous interacting agents is capable of reproducing these ubiquitous statistical properties. The simplicity of our approach permits to derive some analytical insights using concepts from statistical mechanics. In our model, traders are divided into two groups: fundamentalists and chartists, and their interactions are based on a variant of the herding mechanism introduced by Kirman [1993]. The statistical analysis of simulated data points toward long-term dependence in the auto-correlations of squared and absolute returns and hyperbolic decay in the tail of the distribution of raw returns, both with estimated decay parameters in the same range like those of empirical data. Theoretical analysis, however, excludes the possibility of ‘true’ scaling behavior because of the Markovian nature of the underlying process and the boundedness of returns. The model, therefore, only mimics power law behavior. Similarly as with the phenomenological volatility models analyzed in LeBaron [2001], 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 2005,13
dc.rights http://www.econstor.eu/dspace/Nutzungsbedingungen
dc.subject C61
dc.subject G12
dc.subject ddc:330
dc.subject Herd Behavior
dc.subject Speculative Dynamics
dc.subject Fat Tails
dc.subject Volatility Clustering
dc.subject Börsenkurs
dc.subject Wertpapierhandel
dc.subject Noise Trading
dc.subject Statistischer Test
dc.subject Theorie
dc.title A noise trader model as a generator of apparent financial power laws and long memory
dc.type doc-type:workingPaper


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