IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v7y2010i2p98-102.html

Some properties of subjective probabilities induced by optimal expectations

Author

Listed:
  • Iwaki, Hideki
  • Osaki, Yusuke

Abstract

In this paper, we examine the properties of subjective probabilities induced by optimal expectations. We show that investors who follow optimal expectations underweigh small probabilities and overweigh large probabilities in a simple binary economy. This indicates that the subjective probabilities induced by optimal expectations are incompatible with experimentally observed results under the rank dependent probability assumption.

Suggested Citation

  • Iwaki, Hideki & Osaki, Yusuke, 2010. "Some properties of subjective probabilities induced by optimal expectations," Finance Research Letters, Elsevier, vol. 7(2), pages 98-102, June.
    • Handle: RePEc:eee:finlet:v:7:y:2010:i:2:p:98-102
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544-6123(09)00065-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Markus K. Brunnermeier & Jonathan A. Parker & Christian Gollier, 2007. "Optimal Beliefs, Asset Prices, and the Preference for Skewed Returns," American Economic Review, American Economic Association, vol. 97(2), pages 159-165, May.
    2. Caplin, Andrew & Schotter, Andrew, 2008. "The Foundations of Positive and Normative Economics: A Handbook," OUP Catalogue, Oxford University Press, number 9780195328318.
    3. Gollier, Christian, 2005. "Optimal Illusions and Decisions under Risk," IDEI Working Papers 340, Institut d'Économie Industrielle (IDEI), Toulouse.
    4. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    5. Markus K. Brunnermeier & Jonathan A. Parker, 2005. "Optimal Expectations," American Economic Review, American Economic Association, vol. 95(4), pages 1092-1118, September.
    6. 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.
    7. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    Full references (including those not matched with items on IDEAS)

    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. Huang, Helen Hui & Sun, Jianchun & Zhang, Shunming, 2024. "Asset pricing for the lottery-like security under probability weighting: Based on generalized Wang transform," The North American Journal of Economics and Finance, Elsevier, vol. 71(C).
    2. Marie-Hélène Broihanne & Maxime Merli & Patrick Roger, 2016. "Diversification, gambling and market forces," Review of Quantitative Finance and Accounting, Springer, vol. 47(1), pages 129-157, July.
    3. Jianchun Sun & Lunyi Wang & Yanyi Wang & Shunming Zhang, 2026. "CAPM and Skewness Pricing Under Probability Weighting: Based on the Generalised Wang Transform," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 31(1), pages 390-407, January.
    4. D’Hondt, Catherine & McGowan, Richard & Roger, Patrick, 2021. "Trading leveraged Exchange-Traded products is hazardous to your wealth," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 287-302.
    5. Shi, Yun & Cui, Xiangyu & Zhou, Xunyu, 2020. "Beta and Coskewness Pricing: Perspective from Probability Weighting," SocArXiv 5rqhv, Center for Open Science.
    6. Hua Cheng & Lingtian Kong & Tse‐Chun Lin & Yan Luo & Ningyu Zhou, 2025. "Lottery‐like features and mutual fund performance‐flow sensitivity," Financial Management, Financial Management Association International, vol. 54(3), pages 493-517, September.
    7. Aissia, Dorsaf Ben, 2014. "IPO first-day returns: Skewness preference, investor sentiment and uncertainty underlying factors," Review of Financial Economics, Elsevier, vol. 23(3), pages 148-154.
    8. Epper, Thomas & Fehr-Duda, Helga, 2017. "A Tale of Two Tails: On the Coexistence of Overweighting and Underweighting of Rare Extreme Events," Economics Working Paper Series 1705, University of St. Gallen, School of Economics and Political Science.
    9. Aluma Dembo & Shachar Kariv & Matthew Polisson & John K.-H. Quah, 2026. "Ever since Allais," Journal of Political Economy, University of Chicago Press, vol. 134(6), pages 1846-1889.
    10. Jondeau, Eric & Zhang, Qunzi & Zhu, Xiaoneng, 2019. "Average skewness matters," Journal of Financial Economics, Elsevier, vol. 134(1), pages 29-47.
    11. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    12. Chen, Si, 2012. "Optimistic versus Pessimistic--Optimal Judgemental Bias with Reference Point," MPRA Paper 50693, University Library of Munich, Germany.
    13. Patrick Roger & Marie-Hélène Broihanne & Maxime Merli, 2012. "In search of positive skewness: the case of individual investors," Working Papers of LaRGE Research Center 2012-04, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg.
    14. Steffen Andersen & John Fountain & Glenn Harrison & E. Rutström, 2014. "Estimating subjective probabilities," Journal of Risk and Uncertainty, Springer, vol. 48(3), pages 207-229, June.
    15. Bradrania, Reza & Gao, Ya, 2024. "Lottery demand, weather and the cross-section of stock returns," Journal of Behavioral and Experimental Finance, Elsevier, vol. 42(C).
    16. Phan, Thi Nha Truc & Bertrand, Philippe & Vo, Xuan Vinh & Jones, Kirsten, 2023. "Investigating financial decision-making when facing skewed distributions of return: A survey study in Vietnam," The Quarterly Review of Economics and Finance, Elsevier, vol. 87(C), pages 318-329.
    17. Levon Barseghyan & Francesca Molinari & Ted O'Donoghue & Joshua C. Teitelbaum, 2013. "The Nature of Risk Preferences: Evidence from Insurance Choices," American Economic Review, American Economic Association, vol. 103(6), pages 2499-2529, October.
    18. Mohrschladt, Hannes & Schneider, Judith C., 2021. "Option-implied skewness: Insights from ITM-options," Journal of Economic Dynamics and Control, Elsevier, vol. 131(C).
    19. Bin Zou & Rudi Zagst, 2015. "Optimal Investment with Transaction Costs under Cumulative Prospect Theory in Discrete Time," Papers 1511.04768, arXiv.org, revised Nov 2016.
    20. Goto, Shingo & Yamada, Toru, 2023. "What drives biased odds in sports betting markets: Bettors’ irrationality and the role of bookmakers," International Review of Economics & Finance, Elsevier, vol. 86(C), pages 252-270.

    More about this item

    Keywords

    ;

    Statistics

    Access and download statistics

    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:eee:finlet:v:7:y:2010:i:2:p:98-102. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    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.