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On Uniqueness of Equilibria in the CAPM - (This paper replaces "Existence and Uniqueness of Equilibria in the CAPM")

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  • Thorsten Hens
  • Joerg Laitenberger
  • Andreas Loeffler
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    Abstract

    In the standard CAPM with a riskless asset we give a sufficient condition for uniqueness. This condition is a joint restriction on the agents' endowments and their preferences which is compatible with non-increasing absolute risk aversion and which is in particular satisfied with constant absolute risk aversion. Moreover in the CAPM without a riskless asset we give an example for multiple equilibria even though all agents have constant absolute risk aversion.

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    Bibliographic Info

    Paper provided by Institute for Empirical Research in Economics - University of Zurich in its series IEW - Working Papers with number 039.

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    Handle: RePEc:zur:iewwpx:039

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    Keywords: CAPM; uniqueness; risk aversion;

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    1. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. Dana, Rose-Anne, 1999. "Existence, uniqueness and determinacy of equilibrium in C.A.P.M. with a riskless asset," Economics Papers from University Paris Dauphine 123456789/6112, Paris Dauphine University.
    4. Dalal, Ardeshir J & Arshanapalli, Bala G, 1993. " Estimating the Demand for Risky Assets via the Indirect Expected Utility Function," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 277-88, June.
    5. Nielsen, Lars Tyge, 1990. "Existence of equilibrium in CAPM," Journal of Economic Theory, Elsevier, vol. 52(1), pages 223-231, October.
    6. Nielsen, Lars Tyge, 1988. "Uniqueness of Equilibrium in the Classical Capital Asset Pricing Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(03), pages 329-336, September.
    7. Dana, Rose-Anne, 1999. "Existence, uniqueness and determinacy of equilibrium in C.A.P.M. with a riskless asset," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 167-175, October.
    8. Levy, Haim, 1994. "Absolute and Relative Risk Aversion: An Experimental Study," Journal of Risk and Uncertainty, Springer, vol. 8(3), pages 289-307, May.
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