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A Framework for CAPM with Heterogenous Beliefs

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Abstract

We introduce heterogeneous beliefs in to the mean-variance framework of the standard CAPM, in contrast to the standard approach which assumes homogeneous beliefs. By assuming that agents form optimal portfolios based upon their heterogeneous beliefs about conditional means and covariances of the risky asset returns, we set up a framework for the CAPM that incorporates the heterogeneous beliefs when the market is in equilibrium. In this framework we first construct a consensus belief (with respect to the means and covariances of the risky asset returns) to represent the aggregate market belief when the market is in equilibrium. We then extend the analysis to a repeated one-period set-up and establish a framework for a dynamic CAPM using a market fraction model in which agents are grouped according to their beliefs. The exact relation between heterogeneous beliefs, the market equilibrium returns and the ex-ante beta-coeffcients is obtained. CAPM and Heterogeneous beliefs.

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Bibliographic Info

Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 254.

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Length: 17
Date of creation: 01 Aug 2009
Date of revision:
Handle: RePEc:uts:rpaper:254

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  1. Frank Westerhoff, 2003. "Multi-Asset Market Dynamics," Computing in Economics and Finance 2003 88, Society for Computational Economics.
  2. 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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  6. Louis K.C. Chan & Jason Karceski & Josef Lakonishok, 1999. "On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model," NBER Working Papers 7039, National Bureau of Economic Research, Inc.
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  9. Cars Hommes & Carl Chiarella & Xue-Zhong He, 2004. "A Dynamical Analysis of Moving Average Rules," Computing in Economics and Finance 2004 238, Society for Computational Economics.
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Cited by:
  1. Carl Chiarella & Roberto Dieci & Xue-Zhong He & Kai Li, 2012. "An Evolutionary CAPM Under Heterogeneous Beliefs," Research Paper Series 315, Quantitative Finance Research Centre, University of Technology, Sydney.
  2. 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.
  3. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2010. "Time-Varying Beta: A Boundedly Rational Equilibrium Approach," Research Paper Series 275, Quantitative Finance Research Centre, University of Technology, Sydney.
  4. Xue‐Zhong He & Lei Shi, 2012. "Boundedly rational equilibrium and risk premium," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 52(1), pages 71-93, 03.

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