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The interest rate for saving as a possibilistic risk

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  • Irina Georgescu
  • Jani Kinnunen

Abstract

In the paper there is studied an optimal saving model in which the interest-rate risk for saving is a fuzzy number. The total utility of consumption is defined by using a concept of possibilistic expected utility. A notion of possibilistic precautionary saving is introduced as a measure of the variation of optimal saving level when moving from a sure saving model to a possibilistic risk model. A first result establishes a necessary and sufficient condition that the presence of a possibilistic interest-rate risk generates an extra-saving. This result can be seen as a possibilistic version of a Rothschilld and Stiglitz theorem on a probabilistic model of saving. A second result of the paper studies the variation of the optimal saving level when moving from a probabilistic model (the interest-rate risk is a random variable) to a possibilistic model (the interest-rate risk is a fuzzy number).

Suggested Citation

  • Irina Georgescu & Jani Kinnunen, 2019. "The interest rate for saving as a possibilistic risk," Papers 1908.00445, arXiv.org.
    • Handle: RePEc:arx:papers:1908.00445
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    References listed on IDEAS

    as
    1. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2014. "Precautionary saving under many risks," Journal of Economics, Springer, vol. 113(3), pages 211-228, November.
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    7. Irina Georgescu & Jani Kinnunen, 2016. "Mixed Models For Risk Aversion, Optimal Saving, And Prudence," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 21(2), pages 47-70, November.
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