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Risk Aversion, Loss Aversion, and the Demand for Insurance

Author

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  • Louis Eeckhoudt

    (Department of Economics and Quantitative Methods, IÉSEG School of Management, 3 rue de la Digue, 59000 Lille, France)

  • Anna Maria Fiori

    (Department of Statistics and Quantitative Methods, University of Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy)

  • Emanuela Rosazza Gianin

    (Department of Statistics and Quantitative Methods, University of Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy)

Abstract

In this paper we analyze insurance demand when the utility function depends both upon final wealth and the level of losses or gains relative to a reference point. Besides some comparative statics results, we discuss the links with first-order risk aversion, with the Omega measure, and with a tendency to over-insure modest risks that has been been extensively documented in real insurance markets.

Suggested Citation

  • Louis Eeckhoudt & Anna Maria Fiori & Emanuela Rosazza Gianin, 2018. "Risk Aversion, Loss Aversion, and the Demand for Insurance," Risks, MDPI, vol. 6(2), pages 1-19, May.
  • Handle: RePEc:gam:jrisks:v:6:y:2018:i:2:p:60-:d:149051
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    References listed on IDEAS

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    1. Guo, Dongmei & Hu, Yi & Wang, Shouyang & Zhao, Lin, 2016. "Comparing risks with reference points: A stochastic dominance approach," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 105-116.
    2. Jean-Luc Prigent & Philippe Bertrand, 2011. "Omega performance measure and portfolio insurance," Post-Print hal-01833064, HAL.
    3. Dionne, Georges & Li, Jingyuan, 2014. "When can expected utility handle first-order risk aversion?," Journal of Economic Theory, Elsevier, vol. 154(C), pages 403-422.
    4. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    5. Christian Gollier, 2020. "Aversion to risk of regret and preference for positively skewed risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 913-941, November.
    6. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    7. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    8. Glenn W. Harrison & J. Todd Swarthout, 2016. "Cumulative Prospect Theory in the Laboratory: A Reconsideration," Experimental Economics Center Working Paper Series 2016-04, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    9. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
    10. Ulrich Schmidt & Horst Zank, 2008. "Risk Aversion in Cumulative Prospect Theory," Management Science, INFORMS, vol. 54(1), pages 208-216, January.
    11. Ulrich Schmidt & Chris Starmer & Robert Sugden, 2008. "Third-generation prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 203-223, June.
    12. James C. Cox & Vjollca Sadiraj, 2008. "Risky Decisions in the Large and in the Small: Theory and Experiment," Experimental Economics Center Working Paper Series 2008-01, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    13. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Georges Dionne (ed.), 2013. "Handbook of Insurance," Springer Books, Springer, edition 2, number 978-1-4614-0155-1, September.
    15. Meyer, Jack & Ormiston, Michael B, 1999. "Analyzing the Demand for Deductible Insurance," Journal of Risk and Uncertainty, Springer, vol. 18(3), pages 223-230, October.
    16. Mohammed Abdellaoui & Han Bleichrodt & Corina Paraschiv, 2007. "Loss Aversion Under Prospect Theory: A Parameter-Free Measurement," Management Science, INFORMS, vol. 53(10), pages 1659-1674, October.
    17. Raj Chetty, 2006. "A New Method of Estimating Risk Aversion," American Economic Review, American Economic Association, vol. 96(5), pages 1821-1834, December.
    18. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    19. Eeckhoudt, Louis & Fiori, Anna Maria & Rosazza Gianin, Emanuela, 2016. "Loss-averse preferences and portfolio choices: An extension," European Journal of Operational Research, Elsevier, vol. 249(1), pages 224-230.
    20. Cox, James C. & Sadiraj, Vjollca, 2006. "Small- and large-stakes risk aversion: Implications of concavity calibration for decision theory," Games and Economic Behavior, Elsevier, vol. 56(1), pages 45-60, July.
    21. Anna, Petrenko, 2016. "Мaркування готової продукції як складова частина інформаційного забезпечення маркетингової діяльності підприємств овочепродуктового підкомплексу," Agricultural and Resource Economics: International Scientific E-Journal, Agricultural and Resource Economics: International Scientific E-Journal, vol. 2(1), March.
    22. Ryan O. Murphy & Robert H. W. ten Brincke, 2018. "Hierarchical Maximum Likelihood Parameter Estimation for Cumulative Prospect Theory: Improving the Reliability of Individual Risk Parameter Estimates," Management Science, INFORMS, vol. 64(1), pages 308-328, January.
    23. Ryan O. Murphy & Robert H.W. ten Brincke, "undated". "Hierarchical maximum likelihood parameter estimation for cumulative prospect theory: Improving the reliability of individual risk parameter estimates," Working Papers ETH-RC-14-005, ETH Zurich, Chair of Systems Design.
    24. Yusufcan Masatlioglu & Collin Raymond, 2016. "A Behavioral Analysis of Stochastic Reference Dependence," American Economic Review, American Economic Association, vol. 106(9), pages 2760-2782, September.
    25. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    26. Robert Jarrow & Feng Zhao, 2006. "Downside Loss Aversion and Portfolio Management," Management Science, INFORMS, vol. 52(4), pages 558-566, April.
    27. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    28. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    29. Justin Sydnor, 2010. "(Over)insuring Modest Risks," American Economic Journal: Applied Economics, American Economic Association, vol. 2(4), pages 177-199, October.
    30. Emir Kamenica, 2008. "Contextual Inference in Markets: On the Informational Content of Product Lines," American Economic Review, American Economic Association, vol. 98(5), pages 2127-2149, December.
    31. Wang, Shaun S. & Young, Virginia R., 1998. "Ordering risks: Expected utility theory versus Yaari's dual theory of risk," Insurance: Mathematics and Economics, Elsevier, vol. 22(2), pages 145-161, June.
    32. Sugden, Robert, 2003. "Reference-dependent subjective expected utility," Journal of Economic Theory, Elsevier, vol. 111(2), pages 172-191, August.
    33. Nicholas Barberis & Ming Huang & Richard H. Thaler, 2006. "Individual Preferences, Monetary Gambles, and Stock Market Participation: A Case for Narrow Framing," American Economic Review, American Economic Association, vol. 96(4), pages 1069-1090, September.
    34. Ulrich Schmidt, 2016. "Insurance Demand Under Prospect Theory: A Graphical Analysis," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(1), pages 77-89, January.
    35. Doherty, Neil A & Eeckhoudt, Louis, 1995. "Optimal Insurance without Expected Utility: The Dual Theory and the Linearity of Insurance Contracts," Journal of Risk and Uncertainty, Springer, vol. 10(2), pages 157-179, March.
    36. Peter, Richard & Richter, Andreas & Thistle, Paul, 2017. "Endogenous information, adverse selection, and prevention: Implications for genetic testing policy," Journal of Health Economics, Elsevier, vol. 55(C), pages 95-107.
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    3. Jiakun Zheng, 2020. "Optimal insurance design under narrow framing," Post-Print hal-04227370, HAL.
    4. Sunday Stephen AJEMUNIGBOHUN & Sulaiman Ademola Oreshile, 2019. "Risk Aversion And Motor Insurance Demand: Empirical Evidence From Nigeria," Annals of University of Craiova - Economic Sciences Series, University of Craiova, Faculty of Economics and Business Administration, vol. 2(47), pages 211-222, December.
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    6. Eling, Martin & Ghavibazoo, Omid & Hanewald, Katja, 2021. "Willingness to take financial risks and insurance holdings: A European survey," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 95(C).

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