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The Geometry of Separation and Myopia

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  • Brennan, M. J.
  • Kraus, A.

Abstract

In recent years a number of papers have been concerned with the determination of necessary and sufficient conditions for portfolio separation and for myopia. As a result of these earlier investigations, it is known that a necessary and sufficient condition both for portfolio separation and for myopia is that the investor's utility function exhibit risk tolerance, that is a linear function of wealth. What is lacking in the existing literature is a clear demonstration of the economic relevance of linear risk tolerance for portfolio separation and myopia. It is hoped that this paper will help to fill the gap by an analysis of separation and myopia using the standard tools of price theory: indifference curves, budget lines, and Engel curves. Viewed in this perspective, a substantial part of the analysis can be amplified and clarified in terms of the geometry of the situation.

Suggested Citation

  • Brennan, M. J. & Kraus, A., 1976. "The Geometry of Separation and Myopia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 11(2), pages 171-193, June.
    • Handle: RePEc:cup:jfinqa:v:11:y:1976:i:02:p:171-193_02
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    Citations

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    Cited by:

    1. Chambers, Robert G. & Quiggin, John, 2001. "Primal and Dual Approaches to the Analysis of Risk Aversion," Working Papers 197602, University of Maryland, Department of Agricultural and Resource Economics.
    2. Rui Yao & Angela Curl, 2011. "Do Market Returns Influence Risk Tolerance? Evidence from Panel Data," Journal of Family and Economic Issues, Springer, vol. 32(3), pages 532-544, September.
    3. Nicoletta Marinelli & Camilla Mazzoli & Fabrizio Palmucci, 2017. "Mind the Gap: Inconsistencies Between Subjective and Objective Financial Risk Tolerance," Journal of Behavioral Finance, Taylor & Francis Journals, vol. 18(2), pages 219-230, April.
    4. Robert G. Chambers & John Quiggin, 2007. "Dual Approaches to the Analysis of Risk Aversion," Economica, London School of Economics and Political Science, vol. 74(294), pages 189-213, May.
    5. Groh, Alexander P., 2004. "Risikoadjustierte Performance von Private Equity-Investitionen," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 21382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    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. Quiggin, John & Chambers, R.G.Robert G., 2004. "Invariant risk attitudes," Journal of Economic Theory, Elsevier, vol. 117(1), pages 96-118, July.

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