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Positive Prices in CAPM

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  • Nielsen, Lars Tyge

Abstract

Some equilibrium prices in the capital asset pricing model may be negative because of nonmonotonicity of preferences. The authors identify several sets of sufficient conditions for prices to be positive. The central conditions impose bounds on the investors' risk aversion. These bounds do not need to hold globally but only in a relevant range of portfolios or combinations of mean and standard deviation. The relevant range is specified on the basis of exogenous parameters and variables, and it must contain any endogenously determined equilibrium. The bounds on risk aversion ensure that the preferences for assets are sufficiently well-behaved within the relevant range. Copyright 1992 by American Finance Association.

Suggested Citation

  • Nielsen, Lars Tyge, 1992. "Positive Prices in CAPM," Journal of Finance, American Finance Association, vol. 47(2), pages 791-808, June.
    • Handle: RePEc:bla:jfinan:v:47:y:1992:i:2:p:791-808
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    Cited by:

    1. Franke, Günter & Weber, Martin, 1997. "Risk-value efficient portfolios and asset pricing," Discussion Papers, Series II 354, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    2. Tong, Jun & Hu, Jiaqiao & Hu, Jianqiang, 2017. "Computing equilibrium prices for a capital asset pricing model with heterogeneous beliefs and margin-requirement constraints," European Journal of Operational Research, Elsevier, vol. 256(1), pages 24-34.
    3. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, M., 2007. "Equilibrium with investors using a diversity of deviation measures," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3251-3268, November.
    4. Koch-Medina, Pablo & Wenzelburger, Jan, 2018. "Equilibria in the CAPM with non-tradeable endowments," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 93-107.
    5. Levy, Moshe, 2007. "Conditions for a CAPM equilibrium with positive prices," Journal of Economic Theory, Elsevier, vol. 137(1), pages 404-415, November.
    6. Matteo Del Vigna, 2011. "Financial market equilibria with heterogeneous agents: CAPM and market segmentation," Working Papers - Mathematical Economics 2011-08, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    7. Matteo Del Vigna, 2014. "A note on the existence of CAPM equilibria with homogeneous cumulative prospect theory preferences," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 341-348, October.

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