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Heterogeneity of probability weighting in investment decisions

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  • Sun, Yuzhe
  • Zhang, Shunming

Abstract

This study examines how the heterogeneity of elevation or curvature in probability weighting affects investors’ market participation and the equity premium. We analyze the rank-dependent utility with the generalized Wang transform (GWT) as an inverse S-shaped weighting function. The two parameters of GWT elicit pessimism (elevation) and likelihood insensitivity to less extreme probability (curvature). There is non-participation when the heterogeneity of elevation or curvature is significant. The mean of elevation does not affect market participation, but that of curvature does. With elevation dispersion, a GWT weighting function with a single prior is compatible with a maxmin model with multiple priors.

Suggested Citation

  • Sun, Yuzhe & Zhang, Shunming, 2023. "Heterogeneity of probability weighting in investment decisions," Economics Letters, Elsevier, vol. 228(C).
  • Handle: RePEc:eee:ecolet:v:228:y:2023:i:c:s0165176523001817
    DOI: 10.1016/j.econlet.2023.111156
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    References listed on IDEAS

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    1. Stephen G Dimmock & Roy Kouwenberg & Olivia S Mitchell & Kim Peijnenburg, 2021. "Household Portfolio Underdiversification and Probability Weighting: Evidence from the Field," The Review of Financial Studies, Society for Financial Studies, vol. 34(9), pages 4524-4563.
    2. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    3. H. Henry Cao & Tan Wang & Harold H. Zhang, 2005. "Model Uncertainty, Limited Market Participation, and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1219-1251.
    4. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    5. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    6. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    7. Wang, Shaun S., 2002. "A Universal Framework for Pricing Financial and Insurance Risks," ASTIN Bulletin, Cambridge University Press, vol. 32(2), pages 213-234, November.
    8. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    9. Huang, Helen & Wang, Yanjie & Zhang, Shunming, 2021. "Prudence attitude and limited participation," Economic Modelling, Elsevier, vol. 101(C).
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Elevation; Curvature; Generalized Wang transform; Market participation; Rank-dependent utility;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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