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The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models

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  • Irina Georgescu

    (Academy of Economic Studies, Department of Economic Cybernetics, Piata Romana No 6 R 70167, Oficiul Postal 22, 010374 Bucharest, Romania)

Abstract

In this paper, several portfolio choice models are studied: a purely possibilistic model in which the return of the risky is a fuzzy number, and four models in which the background risk appears in addition to the investment risk. In these four models, risk is a bidimensional vector whose components are random variables or fuzzy numbers. Approximate formulas of the optimal allocation are obtained for all models, expressed in terms of some probabilistic or possibilistic moments, depending on the indicators of the investor preferences (risk aversion, prudence).

Suggested Citation

  • Irina Georgescu, 2018. "The Effect of Prudence on the Optimal Allocation in Possibilistic and Mixed Models," Mathematics, MDPI, vol. 6(8), pages 1-19, August.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:8:p:133-:d:161633
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    1. Zakamouline, Valeri & Koekebakker, Steen, 2009. "Portfolio performance evaluation with generalized Sharpe ratios: Beyond the mean and variance," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1242-1254, July.
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    4. Ñíguez, Trino-Manuel & Paya, Ivan & Peel, David, 2016. "Pure higher-order effects in the portfolio choice model," Finance Research Letters, Elsevier, vol. 19(C), pages 255-260.
    5. Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, April.
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    Cited by:

    1. Irina Georgescu & Louis Aimé Fono, 2019. "A Portfolio Choice Problem in the Framework of Expected Utility Operators," Mathematics, MDPI, vol. 7(8), pages 1-16, July.
    2. Farzaneh Pourahmadi & Payman Dehghanian, 2018. "A Game-Theoretic Loss Allocation Approach in Power Distribution Systems with High Penetration of Distributed Generations," Mathematics, MDPI, vol. 6(9), pages 1-14, September.
    3. Georgescu Irina & Kinnunen Jani, 2019. "How the Investor’s Risk Preferences Influence the Optimal Allocation in a Credibilistic Portfolio Problem," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 317-329, August.

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