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Stochastic Behavioral Asset Pricing Models and the Stylized Facts

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  • Thomas Lux

Abstract

High-frequency financial data are characterized by a set of ubiquitous statistical properties that prevail with surprising uniformity. While these 'stylized facts' have been well-known for decades, attempts at their behavioral explanation have remained scarce. However, recently a new branch of simple stochastic models of interacting traders have been proposed that share many of the salient features of empirical data. These models draw some of their inspiration from the broader current of behavioral finance. However, their design is closer in spirit to models of multi-particle interaction in physics than to traditional asset-pricing models. This reflects a basic insight in the natural sciences that similar regularities like those observed in financial markets (denoted as 'scaling laws' in physics) can often be explained via the microscopic interactions of the constituent parts of a complex system. Since these emergent properties should be independent of the microscopic details of the system, this viewpoint advocates negligence of the details of the determination of individuals' market behavior and instead focuses on the study of a few plausible rules of behavior and the emergence of macroscopic statistical regularities in a market with a large ensemble of traders. This chapter will review the philosophy of this new approach, its various implementations, and its contribution to an explanation of the stylized facts in finance

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Paper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number 1426.

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Length: 79 pages
Date of creation: Jun 2008
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Handle: RePEc:kie:kieliw:1426

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Keywords: Agent-based models; speculation; stylized facts; group dynamics;

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Cited by:
  1. Leoni, Patrick L., 2011. "Psychological determinants of occurrence and magnitude of market crashes," Economic Modelling, Elsevier, vol. 28(5), pages 2190-2196, September.
  2. Carl Chiarella & Xue-Zhong He & Paolo Pellizzari, 2009. "A Dynamic Analysis of the Microstructure of Moving Average Rules in a Double Auction Market," Research Paper Series 251, Quantitative Finance Research Centre, University of Technology, Sydney.

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