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A note on the existence of CAPM equilibria with homogeneous Cumulative Prospect Theory preferences


  • Matteo Del Vigna

    () (Dipartimento di Statistica e Matematica Applicata all'Economia, Universita' di Pisa & Universite' Paris-Dauphine)


This note identifies and fixes a minor gap in Proposition 1 in Barberis and Huang (2008). Assuming homogeneous Cumulative Prospect Theory decision makers, we show that CAPM is a necessary (though not sufficient) condition that must hold in equilibrium. We support our result with numerical examples where security prices become negative.

Suggested Citation

  • Matteo Del Vigna, 2012. "A note on the existence of CAPM equilibria with homogeneous Cumulative Prospect Theory preferences," Working Papers - Mathematical Economics 2012-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  • Handle: RePEc:flo:wpaper:2012-01

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    References listed on IDEAS

    1. 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.
    2. 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.
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    More about this item


    asset pricing; capital asset pricing model; cumulative prospect theory.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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