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Aggregation, Efficiency and Mutual Fund Separation in Incomplete Markets

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  • Jérôme Detemple
  • Piero Gottardi

Abstract

This paper studies the conditions for aggregation, portfolio separation and effective completeness of competitive allocations in general equilibrium models with incomplete markets where agents have general preference and endowment distributions. We show that these properties are distinct. Demands may aggregate yet may fail to exhibit fund separation and conversely. Fund separation implies effective completeness while aggregation does not. The implications of these properties for the structure of equilibria are discussed, and generalizations of the CAPM, the consumption CAPM and the CAPM with nonmarketed wealth emerge from the analysis.
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  • Jérôme Detemple & Piero Gottardi, 1997. "Aggregation, Efficiency and Mutual Fund Separation in Incomplete Markets," CIRANO Working Papers 97s-11, CIRANO.
    • Handle: RePEc:cir:cirwor:97s-11
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    Cited by:

    1. Anil K. Kashyap & Dimitrios P. Tsomocos & Alexandros P. Vardoulakis, 2014. "How does macroprudential regulation change bank credit supply?," NBER Working Papers 20165, National Bureau of Economic Research, Inc.
    2. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Discussion Paper 1999-54, Tilburg University, Center for Economic Research.
    3. Hens, Thorsten, 2001. "An extension of Mantel (1976) to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 141-149, November.
    4. Gerber, Anke & Hens, Thorsten & Woehrmann, Peter, 2005. "Dynamic General Equilibrium and T-Period Fund Separation," Discussion Papers 2005/16, Norwegian School of Economics, Department of Business and Management Science.
    5. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    6. Chenghu Ma & Jiankang Zhang, 2013. "p-Weakly constrained Pareto efficiency and aggregation in incomplete markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 605-623, September.
    7. Pilgrim, Beate, 2002. "Non-equivalence of uniqueness of equilibria in complete and in incomplete market models," Research in Economics, Elsevier, vol. 56(2), pages 143-156, June.
    8. Won, Dong Chul, 2018. "One-fund separation in incomplete markets with two assets," Finance Research Letters, Elsevier, vol. 24(C), pages 168-174.
    9. Shen, Yang & Siu, Tak Kuen, 2013. "Stochastic differential game, Esscher transform and general equilibrium under a Markovian regime-switching Lévy model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 757-768.

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    More about this item

    Keywords

    Aggregation; Efficiency; Mutual Fund Separation; Incomplete Markets; General Preferences; Nontraded Endowments; Agrégation; efficience; séparation de portefeuille; marchés incomplets; préférences générales; dotations non-marchandées;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete 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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