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Heterogeneity, convergence, and autocorrelations

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  • Xue-Zhong He
  • Youwei Li

Abstract

This paper is a contribution to the literature on the explanatory power and calibration of heterogeneous asset pricing models. We set out a new stochastic market-fraction asset pricing model of fundamentalists and trend followers under a market maker. Our model explains key features of financial market behaviour such as market dominance, convergence to the fundamental price and under- and over-reaction. We use the dynamics of the underlying deterministic system to characterize these features and statistical properties, including convergence of the limiting distribution and autocorrelation structure. We confirm these properties using Monte Carlo simulations.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Quantitative Finance.

Volume (Year): 8 (2008)
Issue (Month): 1 ()
Pages: 59-79

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Handle: RePEc:taf:quantf:v:8:y:2008:i:1:p:59-79

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Related research

Keywords: Asset pricing; Heterogeneous beliefs; Market fraction; Stability; Bifurcation; Market behaviour; Limiting distribution; Autocorrelation;

References

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  1. Xue-Zhong He, 2003. "Asset Pricing, Volatility and Market Behaviour: A Market Fraction Approach," Research Paper Series 95, Quantitative Finance Research Centre, University of Technology, Sydney.
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Citations

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Cited by:
  1. Dieci, Roberto & Westerhoff, Frank, 2010. "Heterogeneous speculators, endogenous fluctuations and interacting markets: A model of stock prices and exchange rates," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 743-764, April.
  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.
  3. Huang, Weihong & Zheng, Huanhuan, 2012. "Financial crises and regime-dependent dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 445-461.
  4. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2009. "A Framework for CAPM with Heterogenous Beliefs," Research Paper Series 254, Quantitative Finance Research Centre, University of Technology, Sydney.
  5. Huang, Weihong & Chen, Zhenxi, 2014. "Modeling regional linkage of financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 18-31.
  6. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2011. "The dynamic behaviour of asset prices in disequilibrium: a survey," International Journal of Behavioural Accounting and Finance, Inderscience Enterprises Ltd, vol. 2(2), pages 101-139.
  7. Zhu, Mei & Chiarella, Carl & He, Xue-Zhong & Wang, Duo, 2009. "Does the market maker stabilize the market?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3164-3180.
  8. Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2011. "A simple financial market model with chartists and fundamentalists: market entry levels and discontinuities," Quaderni di Dipartimento 150, University of Pavia, Department of Economics and Quantitative Methods.
  9. Samuel E. Vazquez, 2009. "Scale Invariance, Bounded Rationality and Non-Equilibrium Economics," Papers 0902.3840, arXiv.org.
  10. Xue-Zhong He & Kai Li & Junjie Wei & Min Zheng, 2009. "Market Stability Switches in a Continuous-Time Financial Market with Heterogeneous Beliefs," Research Paper Series 252, Quantitative Finance Research Centre, University of Technology, Sydney.
  11. Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.
  12. Goodman, James, 2014. "Evidence for ecological learning and domain specificity in rational asset pricing and market efficiency," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 48(C), pages 27-39.
  13. He, Xue-Zhong & Zheng, Min, 2010. "Dynamics of moving average rules in a continuous-time financial market model," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 615-634, December.
  14. Weihong HUANG & Zhenxi CHEN, 2012. "Regional Financial Markets With Common Currency," Economic Growth centre Working Paper Series 1210, Nanyang Technolgical University, School of Humanities and Social Sciences, Economic Growth centre.
  15. Weihong Huang & Huanhuan Zheng & Wai-Mun Chia, 2013. "Asymmetric returns, gradual bubbles and sudden crashes," The European Journal of Finance, Taylor & Francis Journals, vol. 19(5), pages 420-437, May.
  16. Frijns, Bart & Lehnert, Thorsten & Zwinkels, Remco C.J., 2010. "Behavioral heterogeneity in the option market," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2273-2287, November.
  17. Zhang, Ting & Li, Honggang, 2013. "Buying on margin, selling short in an agent-based market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4075-4082.
  18. Weihong HUANG & Zhenxi CHEN, 2012. "Heterogeneous Agents in Multi-markets: A Coupled Map Lattices Approach," Economic Growth centre Working Paper Series 1211, Nanyang Technolgical University, School of Humanities and Social Sciences, Economic Growth centre.
  19. Huang, Weihong & Zheng, Huanhuan & Chia, Wai-Mun, 2010. "Financial crises and interacting heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1105-1122, June.

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