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Are risk averse agents more optimistic? A Bayesian estimation approach

Author

Listed:
  • Selima Benmansour

    (DRM - Dauphine Recherches en Management - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Elyès Jouini

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Clotilde Napp

    (DRM - Dauphine Recherches en Management - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique, CREST - Centre de Recherche en Économie et Statistique - ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz] - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - ENSAE Paris - École Nationale de la Statistique et de l'Administration Économique - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Michel Marin

    (SELECT - Model selection in statistical learning - LMO - Laboratoire de Mathématiques d'Orsay - UP11 - Université Paris-Sud - Paris 11 - CNRS - Centre National de la Recherche Scientifique - Inria Saclay - Ile de France - Inria - Institut National de Recherche en Informatique et en Automatique)

  • Christian P. Robert

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

Abstract

Our aim is to analyze the link between optimism and risk aversion in a subjective expected utility setting and to estimate the average level of optimism when weighted by risk tolerance.This quantity is of particular importance since it characterizes the consensus belief in risk-taking situations with heterogeneous beliefs. Its estimation leads to a nontrivial statistical problem. We start from a large lottery survey (1536 individuals). We assume that individuals have true unobservable characteristics and that their answers in the survey are noisy realizations of these characteristics. We adopt a Bayesian approach for the statistical analysis of this problem and use an hybrid MCMC approximation method to numerically estimate the distributions of the unobservable characteristics. We obtain that individuals are on average pessimistic and thatpessimism and risk tolerance are positively correlated. As a consequence, we conclude that theconsensus belief is biased towards pessimism.

Suggested Citation

  • Selima Benmansour & Elyès Jouini & Clotilde Napp & Jean-Michel Marin & Christian P. Robert, 2007. "Are risk averse agents more optimistic? A Bayesian estimation approach," Working Papers halshs-00163678, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00163678
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00163678v1
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    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. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
    3. Donkers, Bas & Melenberg, Bertrand & Van Soest, Arthur, 2001. "Estimating Risk Attitudes Using Lotteries: A Large Sample Approach," Journal of Risk and Uncertainty, Springer, vol. 22(2), pages 165-195, March.
    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. Christian Gollier & Alexander Muermann, 2010. "Optimal Choice and Beliefs with Ex Ante Savoring and Ex Post Disappointment," Management Science, INFORMS, vol. 56(8), pages 1272-1284, August.
    6. Hans P. Binswanger, 1980. "Attitudes Toward Risk: Experimental Measurement in Rural India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 395-407.
    7. 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.
    8. 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.
    9. Li, Tao, 2007. "Heterogeneous beliefs, asset prices, and volatility in a pure exchange economy," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1697-1727, May.
    10. Luigi Guiso & Monica Paiella, 2008. "Risk Aversion, Wealth, and Background Risk," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1109-1150, December.
    11. Kang, Sh & Obrien, J & Sivaramakrishnan, K, 1994. "Analysts Interim Earnings Forecasts - Evidence On The Forecasting Process," Journal of Accounting Research, Wiley Blackwell, vol. 32(1), pages 103-112.
    12. repec:dau:papers:123456789/1051 is not listed on IDEAS
    13. Binswanger, Hans P, 1981. "Attitudes toward Risk: Theoretical Implications of an Experiment in Rural India," Economic Journal, Royal Economic Society, vol. 91(364), pages 867-890, December.
    14. Selima Mansour & Elyès Jouini & Clotilde Napp, 2006. "Is There a “Pessimisticâ€\x9D Bias in Individual Beliefs? Evidence from a Simple Survey," Theory and Decision, Springer, vol. 61(4), pages 345-362, December.
    15. Jianakoplos, Nancy Ammon & Bernasek, Alexandra, 1998. "Are Women More Risk Averse?," Economic Inquiry, Western Economic Association International, vol. 36(4), pages 620-630, October.
    16. Selima Benmansour & Elyès Jouini & Clotilde Napp, 2006. "Is there a pessimistic bias in individual beliefs ? Evidence from survey dat," Post-Print halshs-00163694, HAL.
    17. Detemple Jerome & Murthy Shashidhar, 1994. "Intertemporal Asset Pricing with Heterogeneous Beliefs," Journal of Economic Theory, Elsevier, vol. 62(2), pages 294-320, April.
    18. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    19. Laurent Calvet & Jean-Michel Grandmont & Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Center for Research in Economics and Statistics.
    20. repec:dau:papers:123456789/341 is not listed on IDEAS
    21. GOLLIER Christian & MUERMANN Alexander, 2006. "Optimal choice and beliefs with ex ante savoring ex post disappointment," LERNA Working Papers 06.18.211, LERNA, University of Toulouse.
    22. 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.
    23. McInish, Thomas H., 1982. "Individual investors and risk-taking," Journal of Economic Psychology, Elsevier, vol. 2(2), pages 125-136, June.
    24. Powell, Melanie & Ansic, David, 1997. "Gender differences in risk behaviour in financial decision-making: An experimental analysis," Journal of Economic Psychology, Elsevier, vol. 18(6), pages 605-628, November.
    25. O'brien, Patricia C., 1988. "Analysts' forecasts as earnings expectations," Journal of Accounting and Economics, Elsevier, vol. 10(1), pages 53-83, January.
    26. Schooley, Diane K. & Worden, Debra Drecnik, 1996. "Risk aversion measures: comparing attitudes and asset allocation," Financial Services Review, Elsevier, vol. 5(2), pages 87-99.
    27. Christian Gollier, 2007. "Whom should we believe? Aggregation of heterogeneous beliefs," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 107-127, October.
    28. Joop Hartog & Ada Ferrer‐i‐Carbonell & Nicole Jonker, 2002. "Linking Measured Risk Aversion to Individual Characteristics," Kyklos, Wiley Blackwell, vol. 55(1), pages 3-26.
    29. repec:dau:papers:123456789/310 is not listed on IDEAS
    30. Andrew B. Abel, "undated". "Asset Prices Under Heterogenous Beliefs: Implications for the Equity Premium," Rodney L. White Center for Financial Research Working Papers 09-89, Wharton School Rodney L. White Center for Financial Research.
    31. repec:dau:papers:123456789/1058 is not listed on IDEAS
    32. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 537-579.
    33. Selima Benmansour & Elyès Jouini & Clotilde Napp, 2006. "Is There a Pessimistic Bias in Individual Beliefs? Evidence from a Simple Survey," Post-Print halshs-00163625, HAL.
    34. Palsson, Anne-Marie, 1996. "Does the degree of relative risk aversion vary with household characteristics?," Journal of Economic Psychology, Elsevier, vol. 17(6), pages 771-787, December.
    35. 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.
    36. Clotilde Napp & Elyès Jouini, 2006. "Heterogeneous Beliefs and Asset Pricing in Discrete Time," Post-Print halshs-00151536, HAL.
    37. Fried, Dov & Givoly, Dan, 1982. "Financial analysts' forecasts of earnings : A better surrogate for market expectations," Journal of Accounting and Economics, Elsevier, vol. 4(2), pages 85-107, October.
    38. Hariharan, Govind & Chapman, Kenneth S. & Domian, Dale L., 2000. "Risk tolerance and asset allocation for investors nearing retirement," Financial Services Review, Elsevier, vol. 9(2), pages 159-170, 00.
    39. Morin, Roger A & Fernandez Suarez, Antonio, 1983. "Risk Aversion Revisited," Journal of Finance, American Finance Association, vol. 38(4), pages 1201-1216, September.
    40. David E. Bell, 1985. "Disappointment in Decision Making Under Uncertainty," Operations Research, INFORMS, vol. 33(1), pages 1-27, February.
    41. repec:dau:papers:123456789/78 is not listed on IDEAS
    42. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
    43. 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.
    44. repec:dau:papers:123456789/1048 is not listed on IDEAS
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    Cited by:

    1. Christian Gollier & Alexander Muermann, 2010. "Optimal Choice and Beliefs with Ex Ante Savoring and Ex Post Disappointment," Management Science, INFORMS, vol. 56(8), pages 1272-1284, August.
    2. Giuseppe Albanese & Guido de Blasio & Paolo Sestito, 2017. "Trust, risk and time preferences: evidence from survey data," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(4), pages 367-388, December.
    3. Alessandro Bucciol & Raffaele Miniaci, 2011. "Household Portfolios and Implicit Risk Preference," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1235-1250, November.
    4. Guibril Zerbo, 2024. "Disposition à payer pour l’assurance contre les risques naturels: une étude de terrain au Burkina Faso," EconomiX Working Papers 2024-7, University of Paris Nanterre, EconomiX.
    5. Jouini, Elyès & Napp, Clotilde, 2008. "Are more risk averse agents more optimistic? Insights from a rational expectations model," Economics Letters, Elsevier, vol. 101(1), pages 73-76, October.
    6. Giuseppe Albanese & Guido de Blasio & Paolo Sestito, 2013. "Trust and preferences: evidence from survey data," Temi di discussione (Economic working papers) 911, Bank of Italy, Economic Research and International Relations Area.
    7. Luisa Menapace & Gregory Colson & Roberta Raffaelli, 2016. "A comparison of hypothetical risk attitude elicitation instruments for explaining farmer crop insurance purchases," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 43(1), pages 113-135.
    8. Elyès Jouini & Clotilde Napp, 2008. "Are More Risk-Averse Agents More Optimistic? Insights from a Simple Rational Expectations Equilibrium Model," Post-Print halshs-00176630, HAL.
    9. Weinstock, Eyal & Sonsino, Doron, 2014. "Are risk-seekers more optimistic? Non-parametric approach," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 236-251.

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