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Asset Prices with Heterogeneity in Preferences and Beliefs

Author

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  • Bhamra, Harjoat Singh
  • Uppal, Raman

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 used to obtain the sharing rule and state prices for models set in discrete or continuous time and for arbitrary endowment and belief updating processes.

Suggested Citation

  • Bhamra, Harjoat Singh & Uppal, Raman, 2013. "Asset Prices with Heterogeneity in Preferences and Beliefs," CEPR Discussion Papers 9459, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:9459
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    Cited by:

    1. Georgy Chabakauri, 2012. "Asset Pricing with Heterogeneous Investors and Portfolio Constraints," FMG Discussion Papers dp707, Financial Markets Group.
    2. Suzuki, Masataka, 2016. "A representative agent asset pricing model with heterogeneous beliefs and recursive utility," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 298-315.
    3. 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.
    4. Johnson, Timothy C., 2016. "Rethinking reversals," Journal of Financial Economics, Elsevier, vol. 120(2), pages 211-228.
    5. repec:eee:dyncon:v:80:y:2017:i:c:p:101-124 is not listed on IDEAS
    6. Shi, Lei, 2016. "Consumption-based CAPM with belief heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 65(C), pages 30-46.
    7. Xue-Zhong He & Lei Shi, 2012. "Heterogeneous Beliefs and the Cross-Section of Asset Returns," Research Paper Series 303, Quantitative Finance Research Centre, University of Technology, Sydney.
    8. Jaroslav Borovicka, 2011. "Survival and long-run dynamics with heterogeneous beliefs under recursive preferences," Working Paper Series WP-2011-06, Federal Reserve Bank of Chicago.
    9. Pástor, Lˇuboš & Veronesi, Pietro, 2016. "Income inequality and asset prices under redistributive taxation," Journal of Monetary Economics, Elsevier, vol. 81(C), pages 1-20.
    10. Chien, YiLi & Cole, Harold L. & Lustig, Hanno, 2014. "Implications of heterogeneity in preferences, beliefs and asset trading technologies for the macroeconomy," Working Papers 2014-14, Federal Reserve Bank of St. Louis.
    11. Yili Chien & Harold Cole & Hanno Lustig, 2016. "Implications of Heterogeneity in Preferences, Beliefs and Asset Trading Technologies in an Endowment Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 215-239, April.
    12. repec:eee:ecmode:v:64:y:2017:i:c:p:231-248 is not listed on IDEAS
    13. 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.).
    14. 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.
    15. Jaksa Cvitanic & Elyès Jouini & Semyon Malamud & Clotilde Napp, 2011. "Financial Markets Equilibrium with Heterogeneous Agents," Review of Finance, European Finance Association, vol. 16(1), pages 285-321.
    16. Tyler Abbot, 2017. "Heterogeneous Preferences, Constraints, and the Cyclicality of Leverage," Papers 1706.05877, arXiv.org, revised Nov 2017.
    17. Kearney, Colm, 2012. "Emerging markets research: Trends, issues and future directions," Emerging Markets Review, Elsevier, vol. 13(2), pages 159-183.
    18. Ki Beom Binh & Hogyu Jhang, 2015. "Extraneous Risk: Pricing of Non-Systematic Risk," Annals of Economics and Finance, Society for AEF, vol. 16(2), pages 335-352, November.
    19. Hommes, Cars & in ’t Veld, Daan, 2017. "Booms, busts and behavioural heterogeneity in stock prices," Journal of Economic Dynamics and Control, Elsevier, vol. 80(C), pages 101-124.
    20. Atmaz, Adem & Basak, Suleyman, 2017. "Belief Dispersion in the Stock Market," CEPR Discussion Papers 12056, C.E.P.R. Discussion Papers.

    More about this item

    Keywords

    Asset Pricing; General Equilibrium;

    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

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