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Aggregation, Efficiency and Mutual Fund Separation in Incomplete Markets

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  • Jérôme B. 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 in which 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. Cet article étudie les conditions requises pour l'aggrégation, la séparation de portefeuille et la complétude effective des allocations compétitives dans les modèles d'équilibre général avec marchés incomplets où les agents ont des préférences et des distributions de dotations initiales générales. Nous montrons que ces propriétés sont distinctes. Les demandes peuvent agréger sans pour autant satisfaire la propriété de séparation de portefeuille et inversement. La séparation de portefeuille implique la complétude effective, tandis que l'agrégation ne l'implique pas. Les conséquences de ces propriétés pour la structure des équilibres sont discutées, et des généralisations du CAPM, du CAPM de consommation et du CAPM avec richesse non négociée émergent de l'analyse.

Suggested Citation

  • Jérôme B. 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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    References listed on IDEAS

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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. 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.
    4. 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.
    5. Hens, Thorsten, 2001. "An extension of Mantel (1976) to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 141-149, November.
    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. 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.

    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;

    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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