IDEAS home Printed from https://ideas.repec.org/p/sce/scecfa/181.html
   My bibliography  Save this paper

A Dynamic Heterogeneous Beliefs CAPM

Author

Listed:
  • Carl Chiarella

    (University of Technology Sydney, Australia)

  • Xue-Zhong He

    (University of Technology Sydney, Australia)

  • Roberto Dieci

    (Universita' degli Studi di Bologna, Italy)

  • University of Technology Sydney

Abstract

We reconsider the derivation of the traditional capital asset pricing model (CAPM) in the discrete time setting for a portfolio of one riskless asset and many risky assets. In contrast to the standard setting, it is assumed that agents are heterogeneous in their conditional means and covariances of the risky returns, and that their beliefs about future returns - based on statistical properties of past returns - induce expectations feedback. A Walrasian auctioneer scenario is used for the determination of the market clearing price. In this framework we first construct a consensus belief to represent the aggregate market beliefs about means and variances/covariances of returns, and derive a heterogeneous CAPM which relates aggregate excess return on risky assets with aggregate excess return on the market portfolio via aggregate beta coefficients. We then use this result to establish a dynamic {\em market fraction\/} model in which agents are grouped according to their beliefs. In particular, we focus on three classical heterogeneous agents types - fundamentalists, trend followers and noise traders - and investigate how some of the key agent characteristics affect the time varying behaviour of market returns and beta coefficients

Suggested Citation

  • Carl Chiarella & Xue-Zhong He & Roberto Dieci & University of Technology Sydney, 2006. "A Dynamic Heterogeneous Beliefs CAPM," Computing in Economics and Finance 2006 181, Society for Computational Economics.
    • Handle: RePEc:sce:scecfa:181
    as

    Download full text from publisher

    File URL: http://repec.org/sce2006/up.23422.1140428709.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chiarella, Carl & Dieci, Roberto & He, Xue-Zhong, 2007. "Heterogeneous expectations and speculative behavior in a dynamic multi-asset framework," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 408-427, March.
    2. Volker Böhm & Carl Chiarella, 2005. "Mean Variance Preferences, Expectations Formation, And The Dynamics Of Random Asset Prices," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 61-97, January.
    3. Carl Chiarella & Roberto Dieci & Laura Gardini, 2005. "The Dynamic Interaction of Speculation and Diversification," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 17-52.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xue-Zhong He & Lei Shi, 2008. "Heterogeneity, Bounded Rationality and Market Dysfunctionality," Research Paper Series 233, Quantitative Finance Research Centre, University of Technology, Sydney.
    2. Xue-Zhong He & Lei Shi, 2009. "Portfolio Analysis and Zero-Beta CAPM with Heterogeneous Beliefs," Research Paper Series 244, Quantitative Finance Research Centre, University of Technology, Sydney.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2013. "Time-varying beta: a boundedly rational equilibrium approach," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 609-639, July.
    2. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 9, July-Dece.
    3. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2010.
    4. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
    5. Chiarella, Carl & Dieci, Roberto & He, Xue-Zhong, 2007. "Heterogeneous expectations and speculative behavior in a dynamic multi-asset framework," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 408-427, March.
    6. Sarah Mignot & Fabio Tramontana & Frank Westerhoff, 2021. "Speculative asset price dynamics and wealth taxes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 641-667, December.
    7. Torsten Trimborn & Philipp Otte & Simon Cramer & Maximilian Beikirch & Emma Pabich & Martin Frank, 2020. "SABCEMM: A Simulator for Agent-Based Computational Economic Market Models," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 707-744, February.
    8. Schmitt, Noemi & Westerhoff, Frank, 2014. "Speculative behavior and the dynamics of interacting stock markets," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 262-288.
    9. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2011. "Do heterogeneous beliefs diversify market risk?," The European Journal of Finance, Taylor & Francis Journals, vol. 17(3), pages 241-258.
    10. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank, 2018. "Interactions between stock, bond and housing markets," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 43-70.
    11. Simon Cramer & Torsten Trimborn, 2019. "Stylized Facts and Agent-Based Modeling," Papers 1912.02684, arXiv.org.
    12. Hommes, Cars & Vroegop, Joris, 2019. "Contagion between asset markets: A two market heterogeneous agents model with destabilising spillover effects," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 314-333.
    13. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2015.
    14. Torsten Trimborn & Philipp Otte & Simon Cramer & Max Beikirch & Emma Pabich & Martin Frank, 2018. "SABCEMM-A Simulator for Agent-Based Computational Economic Market Models," Papers 1801.01811, arXiv.org, revised Oct 2018.
    15. Dieci, Roberto & Westerhoff, Frank, 2011. "On the inherent instability of international financial markets: Natural nonlinear interactions between stock and foreign exchange markets," BERG Working Paper Series 79, Bamberg University, Bamberg Economic Research Group.
    16. Sushko, Iryna & Tramontana, Fabio & Westerhoff, Frank & Avrutin, Viktor, 2015. "Symmetry breaking in a bull and bear financial market model," Chaos, Solitons & Fractals, Elsevier, vol. 79(C), pages 57-72.
    17. 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.
    18. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 16, July-Dece.
    19. He, Xue-Zhong & Li, Youwei, 2007. "Power-law behaviour, heterogeneity, and trend chasing," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3396-3426, October.
    20. Carl Chiarella & Roberto Dieci & Tony He, 2006. "Aggregation of Heterogeneous Beliefs and Asset Pricing: A Mean-Variance Analysis," Computing in Economics and Finance 2006 108, Society for Computational Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sce:scecfa:181. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/sceeeea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.