Estimation of agent-based models: The case of an asymmetric herding model

被引：193

作者：

Alfarano S. ^{[1
]}

Lux T. ^{[1
]}

Wagner F. ^{[2
]}

机构：

[1] Department of Economics, University of Kiel, Kiel

[2] Department of Physics, University of Kiel, Kiel

来源：

Computational Economics | 2005年 / 26卷 / 1期

关键词：

Fat tails; Herd behavior; Speculative dynamics; Volatility clustering;

D O I：

10.1007/s10614-005-6415-1

中图分类号：

学科分类号：

摘要：

The behavioral origins of the stylized facts of financial returns have been addressed in a growing body of agent-based models of financial markets. While the traditional efficient market viewpoint explains all statistical properties of returns by similar features of the news arrival process, the more recent behavioral finance models explain them as imprints of universal patterns of interaction in these markets. In this paper we contribute to this literature by introducing a very simple agent-based model in which the ubiquitous stylized facts (fat tails, volatility clustering) are emergent properties of the interaction among traders. The simplicity of the model allows us to estimate the underlying parameters, since it is possible to derive a closed form solution for the distribution of returns. We show that the tail shape characterizing the fatness of the unconditional distribution of returns can be directly derived from some structural variables that govern the traders' interactions, namely the herding propensity and the autonomous switching tendency. © Springer Science + Business Media, Inc. 2005.

引用

页码：19 / 49

页数：30

共 38 条

[1] Ai-Sahalia Y., Maximum-likelihood estimation of discretely-sampled diffusion: A closed-form approximation approach, Econometrica, 70, pp. 223-262, (2002)
[2] Alfarano S., Lux T., A minimal noise traders model with realistic time series properties, (2003)
[3] Alfarano S., Lux T., Wagner F., Time-variation of higher moments in financial market with heterogeneous agents: An analytical approach, (2004)
[4] Aoki M., New Approaches to Macroeconomic Modeling: Evolutionary Stochastic Dynamics, Multiple Equilibria, and Externalities As Field Effects, (1996)
[5] Beja A., Goldman M.B., On the dynamic behavior of prices in disequilibrium, Journal of Finance, 35, pp. 235-248, (1980)
[6] Black F., Scholes M., The pricing of options and corporate liabilities, Journal of Political Economy, 81, pp. 637-653, (1973)
[7] Brock W.A., Hommes C.H., A rational route to randomness, Econometrica, 65, pp. 1059-1095, (1997)
[8] Cont R., Bouchaud J.P., Herd behaviour and aggregate fluctuations in financial markets, Macroeconomic Dynamics, 4, pp. 170-196, (2000)
[9] Costantini D., Garibaldi U., A probabilistic foundation of elementary particle statistics, Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 28, pp. 483-506, (1997)
[10] De Jong F., Drost F.C., Werker B.J.M., A jump-diffusion model for exchange rates in a target zone, Statistica Neerlandica, 55, pp. 270-300, (2001)

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