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Loss Aversion with a State-Dependent Reference Point

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  • Enrico G. De Giorgi

    (School of Economics and Political Science, University of St. Gallen, 9000 St. Gallen, Switzerland)

  • Thierry Post

    (Graduate School of Business, Koç University, 34450 Istanbul-Sar{\i}yer, Turkey)

Abstract

This study investigates reference-dependent choice with a stochastic, state-dependent reference point. The optimal reference-dependent solution equals the optimal consumption solution (no loss aversion) if the reference point is selected fully endogenously. Given that loss aversion is widespread, we conclude that the reference point generally includes an important exogenously fixed component. We develop a choice model in which adjustment costs can cause stickiness relative to an initial, exogenous reference point. Using historical U.S. investment benchmark data, we show that this model is consistent with diversification across bonds and stocks for a wide range of evaluation horizons, despite the historically high-risk premium of stocks compared to bonds. This paper was accepted by Peter Wakker, decision analysis.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:57:y:2011:i:6:p:1094-1110
    DOI: 10.1287/mnsc.1110.1338
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    Cited by:

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    4. Bhavani Shanker Uppari & Sameer Hasija, 2019. "Modeling Newsvendor Behavior: A Prospect Theory Approach," Manufacturing & Service Operations Management, INFORMS, vol. 21(3), pages 481-500, July.
    5. Lampe, Immanuel & Würtenberger, Daniel, 2020. "Loss aversion and the demand for index insurance," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 678-693.
    6. Schmidt, Ulrich & Friedl, Andreas & Lima de Miranda, Katharina, 2015. "Social comparison and gender differences in risk taking," Kiel Working Papers 2011, Kiel Institute for the World Economy (IfW Kiel).
    7. Tarık Kara & Emin Karagözoğlu & Elif Özcan-Tok, 2021. "Bargaining, Reference Points, and Limited Influence," Dynamic Games and Applications, Springer, vol. 11(2), pages 326-362, June.
    8. David B. Brown & Melvyn Sim, 2009. "Satisficing Measures for Analysis of Risky Positions," Management Science, INFORMS, vol. 55(1), pages 71-84, January.
    9. Ho, Hoa, 2021. "Loss Aversion, Moral Hazard, and Stochastic Contracts," Discussion Papers in Economics 75307, University of Munich, Department of Economics.
    10. Jian Cao & Yongjiang Guo & Zhongxin Hu, 2023. "The Effect of Loss Preference on Queueing with Information Disclosure Policy," Methodology and Computing in Applied Probability, Springer, vol. 25(3), pages 1-25, September.
    11. Carbajal, Juan Carlos & Ely, Jeffrey C., 2016. "A model of price discrimination under loss aversion and state-contingent reference points," Theoretical Economics, Econometric Society, vol. 11(2), May.
    12. Wei, Ying & Xiong, Sijia & Li, Feng, 2019. "Ordering bias with two reference profits: Exogenous benchmark and minimum requirement," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 229-250.
    13. Ai, Jing & Zhao, Lin & Zhu, Wei, 2018. "Portfolio choice in personal equilibrium," Economics Letters, Elsevier, vol. 170(C), pages 163-167.
    14. 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.
    15. Luca De Gennaro Aquino & Xuedong He & Moris Simon Strub & Yuting Yang, 2024. "Reference-dependent asset pricing with a stochastic consumption-dividend ratio," Papers 2401.12856, arXiv.org.
    16. Immanuel Lampe & Daniel Würtenberger, 2019. "Loss Aversion And The Demand For Index Insurance," Working Papers on Finance 1907, University of St. Gallen, School of Finance.
    17. Yun Shi & Xiangyu Cui & Jing Yao & Duan Li, 2015. "Dynamic Trading with Reference Point Adaptation and Loss Aversion," Operations Research, INFORMS, vol. 63(4), pages 789-806, August.
    18. Curatola, Giuliano, 2017. "Optimal portfolio choice with loss aversion over consumption," The Quarterly Review of Economics and Finance, Elsevier, vol. 66(C), pages 345-358.
    19. Xie, Yuxin & Hwang, Soosung & Pantelous, Athanasios A., 2018. "Loss aversion around the world: Empirical evidence from pension funds," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 52-62.
    20. Merja Halme & Outi Somervuori, 2013. "Choice behavior of information services when prices are increased and decreased from reference level," Annals of Operations Research, Springer, vol. 211(1), pages 549-564, December.
    21. Park, Hyeon, 2019. "Inter-temporal choices with temporal reference dependence," Research in Economics, Elsevier, vol. 73(1), pages 107-122.
    22. Stephen G. Dimmock & Roy Kouwenberg & Peter P. Wakker, 2016. "Ambiguity Attitudes in a Large Representative Sample," Management Science, INFORMS, vol. 62(5), pages 1363-1380, May.
    23. Strub, Moris S. & Li, Duan & Cui, Xiangyu & Gao, Jianjun, 2019. "Discrete-time mean-CVaR portfolio selection and time-consistency induced term structure of the CVaR," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).

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    More about this item

    Keywords

    behavioral finance; asset pricing; equity premium puzzle; reference-dependent preferences; loss aversion; stochastic reference point;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments

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