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Wanted: A Test for FSD Optimality of a Given Portfolio

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  • Post, G.T.

Abstract

FIRST-ORDER STOCHASTIC DOMINANCE (FSD) is one of the fundamental concepts of decision making under uncertainty, relying only on the assumption of nonsatiation, or decision makers preferring more to less. There exist well-known, simple algorithms for establishing FSD relationships between a pair of choice alternatives. Unfortunately, these algorithms have limited use in applications with more than two choice alternatives. The analysis of investment portfolios is one such application; investors generally can form a large number of portfolios by diversifying across individual assets. For such applications, there is a need to develop an algorithm for establishing if a given portfolio represents the optimal solution for at least some nonsatiable investor, i.e., is in the FSD optimal set.

Suggested Citation

  • Post, G.T., 2005. "Wanted: A Test for FSD Optimality of a Given Portfolio," ERIM Report Series Research in Management ERS-2005-034-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:6727
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    References listed on IDEAS

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    1. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, vol. 7(2), pages 143-158, February.
    2. Bawa, Vijay S, et al, 1985. "On Determination of Stochastic Dominance Optimal Sets," Journal of Finance, American Finance Association, vol. 40(2), pages 417-431, June.
    3. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
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    Cited by:

    1. Oliver Linton & Yoon-Jae Whang, 2012. "Testing for the stochastic dominance efficiency of a given portfolio," CeMMAP working papers 27/12, Institute for Fiscal Studies.
    2. Oliver Linton & Thierry Post & Yoon‐Jae Whang, 2014. "Testing for the stochastic dominance efficiency of a given portfolio," Econometrics Journal, Royal Economic Society, vol. 17(2), pages 59-74, June.

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    More about this item

    Keywords

    Portfolio diversification; admissibility; optimality; stochastic dominance;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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