IDEAS home Printed from https://ideas.repec.org/p/uts/rpaper/271.html
   My bibliography  Save this paper

Differences in Opinion and Risk Premium

Author

Abstract

When people agree to disagree, this paper examines the impact of the disagreement among agents on market equilibrium and equity premium. Within the standard mean variance framework, we consider a market of two risky assets, a riskless asset and two (and then a continuum of) agents who have different preferences and heterogeneous beliefs in the means and variance/covariances of the asset returns. By constructing a consensus belief, we introduce a boundedly rational equilibrium (BRE) to characterize the market equilibrium and derive a CAPM under heterogeneous beliefs. When the differences in opinion are formed as mean-preserving spreads of a benchmark homogeneous belief, we analyz eexplicitly the impact on the market equilibrium and risk premium, showing that the risk tolerance, optimism/pessimism and confidence/doubt can jointly generate high risk premium and low risk-free rate.

Suggested Citation

  • Xue-Zhong He & Lei Shi, 2010. "Differences in Opinion and Risk Premium," Research Paper Series 271, Quantitative Finance Research Centre, University of Technology, Sydney.
  • Handle: RePEc:uts:rpaper:271
    as

    Download full text from publisher

    File URL: https://www.uts.edu.au/sites/default/files/qfr-archive-03/QFR-rp271.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Evan W. Anderson & Eric Ghysels & Jennifer L. Juergens, 2005. "Do Heterogeneous Beliefs Matter for Asset Pricing?," Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 875-924.
    3. Lintner, John, 1969. "The Aggregation of Investor's Diverse Judgments and Preferences in Purely Competitive Security Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(4), pages 347-400, December.
    4. Markus K. Brunnermeier & Jonathan A. Parker, 2005. "Optimal Expectations," American Economic Review, American Economic Association, vol. 95(4), pages 1092-1118, September.
    5. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    6. H. Henry Cao & Hui Ou-Yang, 2009. "Differences of Opinion of Public Information and Speculative Trading in Stocks and Options," Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 299-335, January.
    7. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    8. Jouini, Elyes & Napp, Clotilde, 2006. "Heterogeneous beliefs and asset pricing in discrete time: An analysis of pessimism and doubt," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1233-1260, July.
    9. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1149-1174.
    10. Bohm, Volker & Wenzelburger, Jan, 2005. "On the performance of efficient portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 721-740, April.
    11. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    12. Leonid Kogan & Stephen A. Ross & Jiang Wang & Mark M. Westerfield, 2006. "The Price Impact and Survival of Irrational Traders," Journal of Finance, American Finance Association, vol. 61(1), pages 195-229, February.
    13. Kyle, Albert S & Wang, F Albert, 1997. "Speculation Duopoly with Agreement to Disagree: Can Overconfidence Survive the Market Test?," Journal of Finance, American Finance Association, vol. 52(5), pages 2073-2090, December.
    14. Hvide, Hans K., 2002. "Pragmatic beliefs and overconfidence," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 15-28, May.
    15. 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.
    16. Lawrence Blume & David Easley, 2006. "If You're so Smart, why Aren't You Rich? Belief Selection in Complete and Incomplete Markets," Econometrica, Econometric Society, vol. 74(4), pages 929-966, July.
    17. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2009. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," Journal of Finance, American Finance Association, vol. 64(2), pages 579-629, April.
    18. 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.
    19. repec:dau:papers:123456789/341 is not listed on IDEAS
    20. Ulrich Horst & Jan Wenzelburger, 2008. "On non-ergodic asset prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(2), pages 207-234, February.
    21. Rubinstein, Mark, 1976. "The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets," Journal of Finance, American Finance Association, vol. 31(2), pages 551-571, May.
    22. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
    23. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 317-355.
    24. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
    25. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    26. 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.
    27. Abel, Andrew B., 2002. "An exploration of the effects of pessimism and doubt on asset returns," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1075-1092, July.
    28. Christian Gollier, 2007. "Whom should we believe? Aggregation of heterogeneous beliefs," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 107-127, October.
    29. Sharpe, William F, 1991. "Capital Asset Prices with and without Negative Holdings," Journal of Finance, American Finance Association, vol. 46(2), pages 489-509, June.
    30. Iván Werning & George-Marios Angeletos, 2006. "Crises and Prices: Information Aggregation, Multiplicity, and Volatility," American Economic Review, American Economic Association, vol. 96(5), pages 1720-1736, December.
    31. 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.
    32. John Conlisk, 1996. "Why Bounded Rationality?," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 669-700, June.
    33. Giordani, Paolo & Soderlind, Paul, 2006. "Is there evidence of pessimism and doubt in subjective distributions? Implications for the equity premium puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 30(6), pages 1027-1043, June.
    34. Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-168, February.
    35. Clotilde Napp & Elyès Jouini, 2006. "Heterogeneous Beliefs and Asset Pricing in Discrete Time," Post-Print halshs-00151536, HAL.
    36. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    37. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    38. Tony Berrada, 2009. "Bounded Rationality and Asset Pricing with Intermediate Consumption," Review of Finance, European Finance Association, vol. 13(4), pages 693-725.
    39. repec:dau:papers:123456789/78 is not listed on IDEAS
    40. Williams, Joseph T., 1977. "Capital asset prices with heterogeneous beliefs," Journal of Financial Economics, Elsevier, vol. 5(2), pages 219-239, November.
    41. Diamond, Douglas W. & Verrecchia, Robert E., 1981. "Information aggregation in a noisy rational expectations economy," Journal of Financial Economics, Elsevier, vol. 9(3), pages 221-235, September.
    42. Gian Italo Bischi & Carl Chiarella & Laura Gardini (ed.), 2010. "Nonlinear Dynamics in Economics, Finance and Social Sciences," Springer Books, Springer, number 978-3-642-04023-8, June.
    43. Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-317, June.
    44. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April.
    45. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-657, May.
    46. Wenzelburger, Jan, 2004. "Learning to predict rationally when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 2075-2104, September.
    47. Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
    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. Hwai-Chung Ho & Chien-Chih Lin, 2012. "How do Heterogeneous Beliefs Influence Asset Volatility?," Pacific Economic Review, Wiley Blackwell, vol. 17(4), pages 601-616, October.
    2. Wolfgang Breuer & Michael Riesener & Astrid Juliane Salzmann, 2014. "Risk aversion vs. individualism: what drives risk taking in household finance?," The European Journal of Finance, Taylor & Francis Journals, vol. 20(5), pages 446-462, May.

    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. 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.
    2. 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, March.
    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 9, July-Dece.
    4. Xue-Zhong He & Lei Shi, 2012. "Disagreement in a Multi-Asset Market," International Review of Finance, International Review of Finance Ltd., vol. 12(3), pages 357-373, September.
    5. He, Xue-Zhong & Shi, Lei, 2017. "Index portfolio and welfare analysis under heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 64-79.
    6. Xue-Zhong He & Lei Shi, 2016. "A Binomial Model of Asset and Option Pricing with Heterogeneous Beliefs," Published Paper Series 2016-4, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    7. 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.
    8. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    9. Xue-Zhong He & Lei Shi & Min Zheng, 2012. "Asset Pricing Under Keeping Up With the Joneses and Heterogeneous Beliefs," Research Paper Series 302, Quantitative Finance Research Centre, University of Technology, Sydney.
    10. Xue-Zhong He, 2012. "Recent Developments on Heterogeneous Beliefs and Adaptive Behaviour of Financial Markets," Research Paper Series 316, Quantitative Finance Research Centre, University of Technology, Sydney.
    11. Shi, Lei, 2016. "Consumption-based CAPM with belief heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 65(C), pages 30-46.
    12. Selima Ben Mansour & Elyès Jouini & Jean-Michel Marin & Clotilde Napp & Christian Robert, 2008. "Are risk-averse agents more optimistic? A Bayesian estimation approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 843-860.
    13. Zeckhauser, Richard Jay & Tran, Ngoc-Khanh, 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs are Heterogeneous," Scholarly Articles 5027955, Harvard Kennedy School of Government.
    14. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    15. Dindo, Pietro, 2019. "Survival in speculative markets," Journal of Economic Theory, Elsevier, vol. 181(C), pages 1-43.
    16. Elyès Jouini & Clotilde Napp, 2010. "Unbiased Disagreement in Financial Markets, Waves of Pessimism and the Risk-Return Trade-off," Review of Finance, European Finance Association, vol. 15(3), pages 575-601.
    17. Daniel, Kent & Hirshleifer, David & Teoh, Siew Hong, 2002. "Investor psychology in capital markets: evidence and policy implications," Journal of Monetary Economics, Elsevier, vol. 49(1), pages 139-209, January.
    18. Markus Glaser & Martin Weber, 2007. "Overconfidence and trading volume," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 32(1), pages 1-36, June.
    19. Glaser, Markus & Weber, Martin, 2009. "Which past returns affect trading volume?," Journal of Financial Markets, Elsevier, vol. 12(1), pages 1-31, February.
    20. Verrecchia, Robert E., 2001. "Essays on disclosure," Journal of Accounting and Economics, Elsevier, vol. 32(1-3), pages 97-180, December.

    More about this item

    Keywords

    asset prices; heterogeneous beliefs; boundedly rational equilibrium; zero-beta CAPM; risk premium;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

    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:uts:rpaper:271. 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: Duncan Ford (email available below). General contact details of provider: https://edirc.repec.org/data/qfutsau.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.