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How the investor's risk preferences influence the optimal allocation in a credibilistic portfolio problem

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  • Irina Georgescu
  • Jani Kinnunen

Abstract

A classical portfolio theory deals with finding the optimal proportion in which an agent invests a wealth in a risk-free asset and a probabilistic risky asset. Formulating and solving the problem depend on how the risk is represented and how, combined with the utility function defines a notion of expected utility. In this paper the risk is a fuzzy variable and the notion of expected utility is defined in the setting of Liu's credibility theory. Thus the portfolio choice problem is formulated as an optimization problem in which the objective function is a credibilistic expected utility. Different approximation calculation formulas for the optimal allocation of the credibilistic risky asset are proved. These formulas contain two types of parameters: various credibilistic moments associated with fuzzy variables (expected value, variance, skewness and kurtosis) and the risk aversion, prudence and temperance indicators of the utility function.

Suggested Citation

  • Irina Georgescu & Jani Kinnunen, 2019. "How the investor's risk preferences influence the optimal allocation in a credibilistic portfolio problem," Papers 1901.08986, arXiv.org.
  • Handle: RePEc:arx:papers:1901.08986
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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.
    2. 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.
    3. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    4. 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.
    5. Sadefo Kamdem, Jules & Tassak Deffo, Christian & Fono, Louis Aimé, 2012. "Moments and semi-moments for fuzzy portfolio selection," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 517-530.
    6. L. Eeckhoudt & C. Gollier & H. Schlesinger, 2005. "Economic and financial decisions under risk," Post-Print hal-00325882, HAL.
    7. Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, December.
    8. Irina Georgescu & Jani Kinnunen, 2016. "Credibilistic risk aversion and prudence," International Journal of Business Innovation and Research, Inderscience Enterprises Ltd, vol. 11(1), pages 146-160.
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