IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v24y2018icp168-174.html
   My bibliography  Save this article

One-fund separation in incomplete markets with two assets

Author

Listed:
  • Won, Dong Chul

Abstract

This paper provides a necessary and sufficient condition for one-fund separation to occur in incomplete-market economies where finitely many agents with distinct risk aversion and heterogeneous beliefs are allowed to trade two assets. The condition involves joint restrictions on risk aversion, beliefs and asset payoffs. Thus, such joint restrictions may be indispensable for fund separation in incomplete markets, which is in contrast with the preference-based and return-distribution-based approaches. When the condition for one-fund separation holds, agents could behave in equilibrium as if there were a single fund which delivers the aggregate asset payoffs in the economy. Otherwise, agents choose optimal shares in distinct proportions.

Suggested Citation

  • Won, Dong Chul, 2018. "One-fund separation in incomplete markets with two assets," Finance Research Letters, Elsevier, vol. 24(C), pages 168-174.
    • Handle: RePEc:eee:finlet:v:24:y:2018:i:c:p:168-174
    DOI: 10.1016/j.frl.2017.09.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612317301976
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2017.09.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 10, pages 309-356, World Scientific Publishing Co. Pte. Ltd..
    2. ,, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
    3. JÊrÆme B. Detemple & Piero Gottardi, 1998. "Aggregation, efficiency and mutual fund separation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 443-455.
    4. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Other publications TiSEM 06a4e5b2-f380-4d5b-a96f-8, Tilburg University, School of Economics and Management.
    2. ,, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
    3. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    4. Michele Costola & Bertrand Maillet & Zhining Yuan & Xiang Zhang, 2024. "Mean–variance efficient large portfolios: a simple machine learning heuristic technique based on the two-fund separation theorem," Annals of Operations Research, Springer, vol. 334(1), pages 133-155, March.
    5. Kais Dachraoui & Georges Dionne, 2007. "Conditions Ensuring the Decomposition of Asset Demand for All Risk-Averse Investors," The European Journal of Finance, Taylor & Francis Journals, vol. 13(5), pages 397-404.
    6. JÊrÆme B. Detemple & Piero Gottardi, 1998. "Aggregation, efficiency and mutual fund separation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 443-455.
    7. DeMarzo, Peter & Skiadas, Costis, 1998. "Aggregation, Determinacy, and Informational Efficiency for a Class of Economies with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 80(1), pages 123-152, May.
    8. Fernando Alvarez, 2018. "A three mutual fund separation theorem," 2018 Meeting Papers 1066, Society for Economic Dynamics.
    9. Chr. Framstad, Nils, 2011. "Portfolio Separation with -symmetric and Psuedo-isotropic Distributions," Memorandum 12/2011, Oslo University, Department of Economics.
    10. de Ruyter, J.C. & Wetzels, M.G.M., 2000. "The role of corporate image and extension similarity in service brand extensions," Research Memorandum 035, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Wing-Keung Wong & Chenghu Ma, 2008. "Preferences over location-scale family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 119-146, October.
    12. Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March.
    13. Merton, Robert, 1990. "Capital market theory and the pricing of financial securities," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 11, pages 497-581, Elsevier.
    14. Chae, Joon & Lee, Eun Jung, 2018. "Distribution uncertainty and expected stock returns," Finance Research Letters, Elsevier, vol. 25(C), pages 55-61.
    15. Dybvig, Philip & Liu, Fang, 2018. "On investor preferences and mutual fund separation," Journal of Economic Theory, Elsevier, vol. 174(C), pages 224-260.
    16. Framstad, N.C., 2011. "Portfolio separation properties of the skew-elliptical distributions, with generalizations," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1862-1866.
    17. Dybvig, Philip H. & Wang, Yajun, 2012. "Increases in risk aversion and the distribution of portfolio payoffs," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1222-1246.
    18. Sangwon Suh & Wonho Song & Bong-Soo Lee, 2014. "A new method for forming asset pricing factors from firm characteristics," Applied Economics, Taylor & Francis Journals, vol. 46(28), pages 3463-3482, October.
    19. Stelios Arvanitis & Mark Hallam & Thierry Post & Nikolas Topaloglou, 2019. "Stochastic Spanning," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(4), pages 573-585, October.
    20. Walter Schachermayer & Mihai Sîrbu & Erik Taflin, 2009. "In which financial markets do mutual fund theorems hold true?," Finance and Stochastics, Springer, vol. 13(1), pages 49-77, January.

    More about this item

    Keywords

    One-fund separation; Incomplete markets; Heterogeneous beliefs; Risk aversion;
    All these keywords.

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:finlet:v:24:y:2018:i:c:p:168-174. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.