IDEAS home Printed from https://ideas.repec.org/p/red/sed013/1344.html
   My bibliography  Save this paper

Asset Prices with Heterogeneity in Preferences and Beliefs

Author

Listed:
  • Raman Uppal

    (EDHEC)

  • Harjoat Bhamra

    (UBC)

Abstract

In this paper, we study asset prices in a dynamic, continuous-time, general-equilibrium endowment economy where agents have “catching up with the Joneses†utility functions and differ with respect to their beliefs (because of differences in priors) and their preference parameters for time discount, risk aversion, and sensitivity to habit. A key contribution of our paper is to demonstrate how one can obtain a closed-form solution to the consumption-sharing rule for agents who have both heterogeneous priors and heterogeneous preferences without restricting the risk aversion of the two agents to special values. We solve in closed form also for the the state price density, the riskless interest rate and market price of risk; the stock price, equity risk premium, and volatility of stock returns; the term structure of interest rates; and the conditions necessary to obtain a stationary equilibrium in which both agents survive in the long run. The methodology we develop is sufficiently general that, as long as markets are complete, it can be applied to models set in discrete or continuous time, to endowment processes that are in the exponential affine jump-diffusion class, and, to settings with arbitrary updating of beliefs.

Suggested Citation

  • Raman Uppal & Harjoat Bhamra, 2013. "Asset Prices with Heterogeneity in Preferences and Beliefs," 2013 Meeting Papers 1344, Society for Economic Dynamics.
  • Handle: RePEc:red:sed013:1344
    as

    Download full text from publisher

    File URL: https://red-files-public.s3.amazonaws.com/meetpapers/2013/paper_1344.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Beliefs, Doubts and Learning: Valuing Macroeconomic Risk," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 10, pages 331-377, World Scientific Publishing Co. Pte. Ltd..
    2. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-341.
    3. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    4. 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.
    5. Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
    6. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    7. Yurii Fedyk & Christian Heyerdahl-Larsen & Johan Walden, 2013. "Market Selection and Welfare in a Multi-asset Economy," Review of Finance, European Finance Association, vol. 17(3), pages 1179-1237.
    8. Beber, Alessandro & Breedon, Francis & Buraschi, Andrea, 2010. "Differences in beliefs and currency risk premiums," Journal of Financial Economics, Elsevier, vol. 98(3), pages 415-438, December.
    9. Ovidiu L. Calin & Yu Chen & Thomas F. Cosimano & Alex A. Himonas, 2005. "Solving Asset Pricing Models when the Price-Dividend Function Is Analytic," Econometrica, Econometric Society, vol. 73(3), pages 961-982, May.
    10. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1149-1174.
    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 & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    13. Jaksa CVITANIC & Semyon MALAMUD, 2009. "Equilibrium Driven by Discounted Dividend Volatility," Swiss Finance Institute Research Paper Series 09-34, Swiss Finance Institute.
    14. Karim Abadir, 1999. "An introduction to hypergeometric functions for economists," Econometric Reviews, Taylor & Francis Journals, vol. 18(3), pages 287-330.
    15. Thomas J. Sargent, 2008. "Evolution and Intelligent Design," American Economic Review, American Economic Association, vol. 98(1), pages 5-37, March.
    16. 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.
    17. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    18. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    19. Hongjun Yan, 2008. "Natural Selection in Financial Markets: Does It Work?," Management Science, INFORMS, vol. 54(11), pages 1935-1950, November.
    20. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    21. Berrada, Tony & Hugonnier, Julien, 2013. "Incomplete information, idiosyncratic volatility and stock returns," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 448-462.
    22. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    23. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc.
    24. Harjoat S. Bhamra & Raman Uppal, 2009. "The Effect of Introducing a Non-Redundant Derivative on the Volatility of Stock-Market Returns When Agents Differ in Risk Aversion," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2303-2330, June.
    25. 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.
    26. Jiang Wang, 1993. "A Model of Intertemporal Asset Prices Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 249-282.
    27. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," Econometrica, Econometric Society, vol. 77(6), pages 1711-1750, November.
    28. Tony Berrada, 2006. "Incomplete Information, Heterogeneity, and Asset Pricing," The Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(1), pages 136-160.
    29. Basak, Suleyman, 2000. "A model of dynamic equilibrium asset pricing with heterogeneous beliefs and extraneous risk," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 63-95, January.
    30. Pok-sang Lam & Stephen G. Cecchetti & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September.
    31. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    32. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    33. Costas Xiouros & Fernando Zapatero, 2010. "The Representative Agent of an Economy with External Habit Formation and Heterogeneous Risk Aversion," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3017-3047, August.
    34. Veronesi, Pietro, 1999. "Stock Market Overreaction to Bad News in Good Times: A Rational Expectations Equilibrium Model," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 975-1007.
    35. Alexandre Ziegler, 2007. "Why Does Implied Risk Aversion Smile?," Review of Financial Studies, Society for Financial Studies, vol. 20(3), pages 859-904.
    36. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    37. Francis A. Longstaff & Jiang Wang, 2012. "Asset Pricing and the Credit Market," Review of Financial Studies, Society for Financial Studies, vol. 25(11), pages 3169-3215.
    38. Morris, Stephen, 1995. "The Common Prior Assumption in Economic Theory," Economics and Philosophy, Cambridge University Press, vol. 11(2), pages 227-253, October.
    39. Cvitanic Jaksa & Malamud Semyon, 2010. "Relative Extinction of Heterogeneous Agents," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-23, February.
    40. repec:oup:rfinst:v:25:y::i:11:p:3169-3215 is not listed on IDEAS
    41. Duffie, Darrell & Garleanu, Nicolae & Pedersen, Lasse Heje, 2002. "Securities lending, shorting, and pricing," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 307-339.
    42. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    43. Isaenko, Sergei, 2008. "The term structure of interest rates in a pure exchange economy where investors have heterogeneous recursive preferences," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(3), pages 457-481, August.
    44. Roman Muraviev, 2011. "Market selection with learning and catching up with the Joneses," Papers 1106.3025, arXiv.org, revised Jan 2012.
    45. Francisco Gomes & Alexander Michaelides, 2008. "Asset Pricing with Limited Risk Sharing and Heterogeneous Agents," Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 415-448, January.
    46. Hongjun Yan, 2008. "Natural Selection in Financial Markets: Does It Work?," Management Science, INFORMS, vol. 54(11), pages 1935-1950, November.
    47. Shefrin, Hersh & Statman, Meir, 1994. "Behavioral Capital Asset Pricing Theory," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(3), pages 323-349, September.
    48. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-188.
    49. repec:dau:papers:123456789/78 is not listed on IDEAS
    50. Benninga, Simon & Mayshar, Joram, 2000. "Heterogeneity and option pricing," Research Report 00E08, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    51. 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.
    52. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    53. repec:dgr:rugsom:00e08 is not listed on IDEAS
    54. Abel, Andrew B., 1999. "Risk premia and term premia in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 3-33, February.
    55. Weinbaum, David, 2009. "Investor heterogeneity, asset pricing and volatility dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 33(7), pages 1379-1397, July.
    56. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 92(2), pages 323-336.
    57. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May.
    Full references (including those not matched with items on IDEAS)

    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. Chabakauri, Georgy, 2010. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 43142, London School of Economics and Political Science, LSE Library.
    2. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," 2012 Meeting Papers 636, Society for Economic Dynamics.
    3. Daniel Andrei & Bruce Carlin & Michael Hasler, 2019. "Asset Pricing with Disagreement and Uncertainty About the Length of Business Cycles," Management Science, INFORMS, vol. 67(6), pages 2900-2923, June.
    4. Christian Heyerdahl-Larsen & Philipp Illeditsch, 2018. "Demand Disagreement," 2018 Meeting Papers 607, Society for Economic Dynamics.
    5. 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.
    6. Roman Muraviev, 2013. "Market selection with learning and catching up with the Joneses," Finance and Stochastics, Springer, vol. 17(2), pages 273-304, April.
    7. Wei Xiong & Hongjun Yan, 2010. "Heterogeneous Expectations and Bond Markets," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1433-1466, April.
    8. Shi, Lei, 2016. "Consumption-based CAPM with belief heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 65(C), pages 30-46.
    9. 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.
    10. Cvitanic, Jaksa & Malamud, Semyon, 2011. "Price impact and portfolio impact," Journal of Financial Economics, Elsevier, vol. 100(1), pages 201-225, April.
    11. Arthur Beddock & Elyès Jouini, 2021. "Live fast, die young: equilibrium and survival in large economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 961-996, April.
    12. Wei Xiong, 2013. "Bubbles, Crises, and Heterogeneous Beliefs," NBER Working Papers 18905, National Bureau of Economic Research, Inc.
    13. Ehling, Paul & Gallmeyer, Michael & Heyerdahl-Larsen, Christian & Illeditsch, Philipp, 2018. "Disagreement about inflation and the yield curve," Journal of Financial Economics, Elsevier, vol. 127(3), pages 459-484.
    14. Eduard Dubin & Olesya V. Grishchenko & Vasily Kartashov, 2012. "Habit formation heterogeneity: Implications for aggregate asset pricing," Finance and Economics Discussion Series 2012-07, Board of Governors of the Federal Reserve System (U.S.).
    15. Hongjun Yan, 2008. "Is Noise Trading Cancelled Out by Aggregation?," Yale School of Management Working Papers amz2604, Yale School of Management, revised 01 Jan 2009.
    16. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2005. "What Can Rational Investors Do About Excessive Volatility and Sentiment Fluctuations?," NBER Working Papers 11803, National Bureau of Economic Research, Inc.
    17. 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.
    18. Stavros Panageas, 2020. "The Implications of Heterogeneity and Inequality for Asset Pricing," NBER Working Papers 26974, National Bureau of Economic Research, Inc.
    19. Hongjun Yan, 2010. "Is Noise Trading Cancelled Out by Aggregation?," Management Science, INFORMS, vol. 56(7), pages 1047-1059, July.
    20. 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.

    More about this item

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:red:sed013:1344. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.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.