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Mean-Value Principle under Cumulative Prospect Theory

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  • Kaluszka, Marek
  • Krzeszowiec, MichaÅ‚

Abstract

In the paper we introduce a generalization of the mean-value principle under Cumulative Prospect Theory. This new method involves some well-known ways of pricing insurance contracts described in the actuarial literature. Properties of this premium principle, such as translation and scale invariance, additivity for independent risks, risk loading and others are studied.

Suggested Citation

  • Kaluszka, Marek & Krzeszowiec, MichaÅ‚, 2012. "Mean-Value Principle under Cumulative Prospect Theory," ASTIN Bulletin, Cambridge University Press, vol. 42(1), pages 103-122, May.
    • Handle: RePEc:cup:astinb:v:42:y:2012:i:01:p:103-122_00
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    Cited by:

    1. Marek Kałuszka & Wioletta Szeligowska, 2018. "On the Arrow-Pratt risk aversion model for the generalized Choquet integral," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 51, pages 169-184.
    2. Wioletta Szeligowska & Marek Kaluszka, 2016. "On Jensen's inequality for generalized Choquet integral with an application to risk aversion," Papers 1609.00554, arXiv.org.
    3. Mao, Tiantian & Stupfler, Gilles & Yang, Fan, 2023. "Asymptotic properties of generalized shortfall risk measures for heavy-tailed risks," Insurance: Mathematics and Economics, Elsevier, vol. 111(C), pages 173-192.
    4. Tiantian Mao & Jun Cai, 2018. "Risk measures based on behavioural economics theory," Finance and Stochastics, Springer, vol. 22(2), pages 367-393, April.
    5. Marek Kałuszka & Michał Krzeszowiec, 2013. "Iteracyjność składek ubezpieczeniowych w ujęciu teorii skumulowanej perspektywy i teorii nieokreśloności," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 31, pages 45-56.

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