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Some properties of subjective probabilities induced by optimal expectations

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  • 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
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    References listed on IDEAS

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    1. Markus K. Brunnermeier & Jonathan A. Parker, 2005. "Optimal Expectations," American Economic Review, American Economic Association, vol. 95(4), pages 1092-1118, September.
    2. Caplin, Andrew & Schotter, Andrew, 2008. "The Foundations of Positive and Normative Economics: A Handbook," OUP Catalogue, Oxford University Press, number 9780195328318.
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    4. 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.
    5. Christian Gollier, 2005. "Optimal Illusions and Decisions under Risk," CESifo Working Paper Series 1382, CESifo.
    6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    7. 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.
    8. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
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