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Market stability switches in a continuous-time financial market with heterogeneous beliefs

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  • He, Xue-Zhong
  • Li, Kai
  • Wei, Junjie
  • Zheng, Min

Abstract

By considering a financial market of fundamentalists and trend followers in which the price trend of trend followers is formed as a weighted average of historical prices, we establish a continuous-time financial market model with time delay and examine the impact of time delay on market price dynamics. Conditions for the stability of the fundamental price in terms of agents' behavior parameters and time delay are obtained. In particular, it is found that an increase in time delay can not only destabilize the market price but also stabilize an otherwise unstable market price, leading to stability switching as delay increases. These interesting phenomena shed new light in understanding of mechanism on the market stability. When the fundamental price becomes unstable through Hopf bifurcations, sufficient conditions on the stability and global existence of the periodic solution are obtained.

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Bibliographic Info

Article provided by Elsevier in its journal Economic Modelling.

Volume (Year): 26 (2009)
Issue (Month): 6 (November)
Pages: 1432-1442

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Handle: RePEc:eee:ecmode:v:26:y:2009:i:6:p:1432-1442

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Web page: http://www.elsevier.com/locate/inca/30411

Related research

Keywords: Asset price Fundamentalists Trend followers Delay differential equations Stability Bifurcations;

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References

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  1. Chiarella, Carl & He, Xue-Zhong, 2003. "Heterogeneous Beliefs, Risk, And Learning In A Simple Asset-Pricing Model With A Market Maker," Macroeconomic Dynamics, Cambridge University Press, vol. 7(04), pages 503-536, September.
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Citations

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Cited by:
  1. Xue-Zhong He & Min Zheng, 2010. "Dynamics of Moving Average Rules in a Continuous-time Financial Market Model," Research Paper Series 268, Quantitative Finance Research Centre, University of Technology, Sydney.
  2. Xue-Zhong He & Kai Li, 2011. "Heterogeneous Beliefs and Adaptive Behaviour in a Continuous-Time Asset Price Model," Research Paper Series 291, Quantitative Finance Research Centre, University of Technology, Sydney.
  3. He, Xue-Zhong & Li, Kai, 2012. "Heterogeneous beliefs and adaptive behaviour in a continuous-time asset price model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(7), pages 973-987.
  4. Corrado Di Guilmi & Xue-Zhong He & Kai Li, 2013. "Herding, Trend Chasing and Market Volatility," Research Paper Series 337, Quantitative Finance Research Centre, University of Technology, Sydney.

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