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A Continuous-Time Asset Pricing Model with Boundedly Rational Heterogeneous Agents

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Author Info
Orlando Gomes (Escola Superior de Comunicação Social)

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Abstract

Asset prices are forward looking. This evidence implies that prices of financial assets are essentially determined by the traders expectations about future prices. Another evidence about asset prices is that these do not seem to follow a predictable pattern over time; we observe periods of high volatility, periods of large negative returns and periods of observation clustering, without noticing any kind of regular pattern. How can one conciliate the formation of expectations with unpredictable erratic behavior? The ‘routes to randomness’ strand of literature has tried to answer the previous question in the last few years. Two conditions are essential to explain asset price unpredictability. (1) agents have different beliefs about future prices, (2) agents follow a rule of bounded rationality, under which they can change the way they form expectations, but such change does not occur instantly and permanently. In this paper the bounded rationality heterogeneous agents setup concerning asset prices is adapted to a continuous-time framework and general conditions conducting to erratic price behavior are presented and discussed.

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Publisher Info
Paper provided by EconWPA in its series Finance with number 0409055.

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Length: 19 pages
Date of creation: 28 Sep 2004
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Handle: RePEc:wpa:wuwpfi:0409055

Note: Type of Document - pdf; pages: 19
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Web page: http://129.3.20.41

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Related research
Keywords: Heterogeneity; Bounded rationality; Asset pricing; Expectations; Stochastic Optimal Control;

Other versions of this item:

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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References listed on IDEAS
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    Other versions:
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    Other versions:
  5. Diks, C.G.H. & Weide, R. van der, 2003. "Heterogeneity as a natural source of randomness," CeNDEF Working Papers 03-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
    Other versions:
  6. Hommes, C.H., 2001. "Modeling the stylized facts in finance through simple nonlinear adaptive systems," CeNDEF Working Papers 01-06, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
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  8. LeBaron, Blake, 2000. "Agent-based computational finance: Suggested readings and early research," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 679-702, June. [Downloadable!] (restricted)
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  12. Xue-Zhong (Tony) He & Carl Chiarella, 2001. "Asset Price and Wealth Dynamics under Heterogeneous Expectations," CeNDEF Workshop Papers, January 2001 5A.2, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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  13. Carl Chiarella & Xue-Zhong He, 2002. "An Adaptive Model on Asset Pricing and Wealth Dynamics with Heterogeneous Trading Strategies," Research Paper Series 84, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  14. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "Chaotic Interest Rate Rules," Computing in Economics and Finance 2001 259, Society for Computational Economics.
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  15. Florian Wagener & Jan Tuinstra, 2004. "On Learning Equilibria," Computing in Economics and Finance 2004 217, Society for Computational Economics. [Downloadable!]
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  16. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January. [Downloadable!] (restricted)
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  17. Dagsvik, John K, 1994. "Discrete and Continuous Choice, Max-Stable Processes, and Independence from Irrelevant Attributes," Econometrica, Econometric Society, vol. 62(5), pages 1179-1205, September. [Downloadable!] (restricted)
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  19. John K. Dagsvik, 2002. "Discrete Choice in Continuous Time: Implications of an Intertemporal Version of the Iia Property," Econometrica, Econometric Society, vol. 70(2), pages 817-831, March. [Downloadable!] (restricted)
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