IDEAS home Printed from https://ideas.repec.org/a/gam/jrisks/v6y2018i2p60-d149051.html
   My bibliography  Save this article

Risk Aversion, Loss Aversion, and the Demand for Insurance

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-9091/6/2/60/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-9091/6/2/60/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. Ulrich Schmidt & Horst Zank, 2008. "Risk Aversion in Cumulative Prospect Theory," Management Science, INFORMS, vol. 54(1), pages 208-216, January.
    5. MOSSIN, Jan, 1968. "Aspects of rational insurance purchasing," LIDAM Reprints CORE 23, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Georges Dionne (ed.), 2013. "Handbook of Insurance," Springer Books, Springer, edition 2, number 978-1-4614-0155-1, December.
    7. 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.
    8. 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.
    9. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    10. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    11. 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.
    12. 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.
    13. Ulrich Schmidt & Chris Starmer & Robert Sugden, 2008. "Third-generation prospect theory," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 203-223, June.
    14. 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.
    15. 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.
    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. Jean-Luc Prigent & Philippe Bertrand, 2011. "Omega performance measure and portfolio insurance," Post-Print hal-01833064, HAL.
    18. Botond Koszegi & Matthew Rabin, 2007. "Reference-Dependent Risk Attitudes," American Economic Review, American Economic Association, vol. 97(4), pages 1047-1073, September.
    19. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
    20. James C. Cox & Vjollca Sadiraj, 2008. "Risky decisions in the large and in the small: Theory and experiment," Research in Experimental Economics, in: Risk Aversion in Experiments, pages 9-40, Emerald Group Publishing Limited.
    21. Raj Chetty, 2006. "A New Method of Estimating Risk Aversion," American Economic Review, American Economic Association, vol. 96(5), pages 1821-1834, December.
    22. 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.
    23. 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.
    24. 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.
    25. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    26. Kobberling, Veronika & Wakker, Peter P., 2005. "An index of loss aversion," Journal of Economic Theory, Elsevier, vol. 122(1), pages 119-131, May.
    27. 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.
    28. 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.
    29. Justin Sydnor, 2010. "(Over)insuring Modest Risks," American Economic Journal: Applied Economics, American Economic Association, vol. 2(4), pages 177-199, October.
    30. Segal, Uzi & Spivak, Avia, 1990. "First order versus second order risk aversion," Journal of Economic Theory, Elsevier, vol. 51(1), pages 111-125, June.
    31. 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.
    32. Sugden, Robert, 2003. "Reference-dependent subjective expected utility," Journal of Economic Theory, Elsevier, vol. 111(2), pages 172-191, August.
    33. 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.
    34. 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.
    35. 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.
    36. Robert Jarrow & Feng Zhao, 2006. "Downside Loss Aversion and Portfolio Management," Management Science, INFORMS, vol. 52(4), pages 558-566, April.
    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. 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).
    2. Jiakun Zheng, 2020. "Optimal insurance design under narrow framing," Post-Print hal-04227370, HAL.
    3. Zheng, Jiakun, 2020. "Optimal insurance design under narrow framing," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 596-607.
    4. Wang, Jianli & Liu, Liqun & Neilson, William S., 2020. "The participation puzzle with reference-dependent expected utility preferences," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 278-287.
    5. Ichiro Sumita & Naoki Toyama & Daisuke Ekuni & Takayuki Maruyama & Aya Yokoi & Daiki Fukuhara & Yoko Uchida-Fukuhara & Momoko Nakahara & Manabu Morita, 2022. "The Impact of Oral Health Behaviors, Health Belief Model, and Absolute Risk Aversion on the Willingness of Japanese University Students to Undergo Regular Dental Check-Ups: A Cross-Sectional Study," IJERPH, MDPI, vol. 19(21), pages 1-9, October.
    6. 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.

    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. Aurélien Baillon & Han Bleichrodt & Vitalie Spinu, 2020. "Searching for the Reference Point," Management Science, INFORMS, vol. 66(1), pages 93-112, January.
    2. Johannes G. Jaspersen & Richard Peter & Marc A. Ragin, 2023. "Probability weighting and insurance demand in a unified framework," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 48(1), pages 63-109, March.
    3. Han Bleichrodt & Jason N. Doctor & Yu Gao & Chen Li & Daniella Meeker & Peter P. Wakker, 2019. "Resolving Rabin’s paradox," Journal of Risk and Uncertainty, Springer, vol. 59(3), pages 239-260, December.
    4. Alex Gershkov & Benny Moldovanu & Philipp Strack & Mengxi Zhang, 2023. "Optimal Insurance: Dual Utility, Random Losses and Adverse Selection," ECONtribute Discussion Papers Series 242, University of Bonn and University of Cologne, Germany.
    5. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    6. Charles-Cadogan, G., 2016. "Expected utility theory and inner and outer measures of loss aversion," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 10-20.
    7. Flores, Gabriela & O’Donnell, Owen, 2016. "Catastrophic medical expenditure risk," Journal of Health Economics, Elsevier, vol. 46(C), pages 1-15.
    8. Wang, Jianli & Liu, Liqun & Neilson, William S., 2020. "The participation puzzle with reference-dependent expected utility preferences," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 278-287.
    9. González-Jiménez, Víctor, 2024. "Incentive design for reference-dependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 493-518.
    10. Ferdinand M. Vieider & Peter Martinsson & Pham Khanh Nam & Nghi Truong, 2019. "Risk preferences and development revisited," Theory and Decision, Springer, vol. 86(1), pages 1-21, February.
    11. Vieider, Ferdinand M. & Truong, Nghi & Martinsson, Peter & Pham Khanh Nam & Martinsson, Peter, 2013. "Risk preferences and development revisited: A field experiment in Vietnam," Discussion Papers, WZB Junior Research Group Risk and Development SP II 2013-403, WZB Berlin Social Science Center.
    12. Enrico G. De Giorgi & Thierry Post, 2011. "Loss Aversion with a State-Dependent Reference Point," Management Science, INFORMS, vol. 57(6), pages 1094-1110, June.
    13. Chi, Yichun & Zheng, Jiakun & Zhuang, Shengchao, 2022. "S-shaped narrow framing, skewness and the demand for insurance," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 279-292.
    14. Larbi Alaoui & Antonio Penta, 2022. "Attitudes towards success and failure," Economics Working Papers 1831, Department of Economics and Business, Universitat Pompeu Fabra.
    15. Daniel Gottlieb & Olivia S. Mitchell, 2020. "Narrow Framing and Long‐Term Care Insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(4), pages 861-893, December.
    16. Katarzyna M. Werner & Horst Zank, 2019. "A revealed reference point for prospect theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 731-773, June.
    17. Tobias Dalhaus & Barry J Barnett & Robert Finger, 2020. "Behavioral weather insurance: Applying cumulative prospect theory to agricultural insurance design under narrow framing," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-25, May.
    18. Doidge, Mary & Feng, Hongli & Hennessy, David A., 2018. "Farmers’ valuation of changes to crop insurance coverage level – a test of third generation prospect theory," 2018 Annual Meeting, August 5-7, Washington, D.C. 274478, Agricultural and Applied Economics Association.
    19. Johannes G. Jaspersen & Marc A. Ragin & Justin R. Sydnor, 2022. "Predicting insurance demand from risk attitudes," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 63-96, March.
    20. Marc A. Ragin & Benjamin L. Collier & Johannes G. Jaspersen, 2021. "The effect of information disclosure on demand for high‐load insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(1), pages 161-193, March.

    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:gam:jrisks:v:6:y:2018:i:2:p:60-:d:149051. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.