Facing a Risk: To Insure or Not to Insure—An Analysis with the Constant Relative Risk Aversion Utility Function

نویسندگان

چکیده

The decision to transfer or share an insurable risk is critical for the maker’s economy. This paper deals with this decision, starting definition of a function that represents difference between expected utility insuring, without deductibles, and not insuring. Considering constant relative aversion (CRRA) function, we provide pattern potential policyholders as their wealth level. obtained rule applies any premium principle, per-claim deductible distribution. Furthermore, numerical results are presented based on mean absolute Poisson-exponential model, sensitivity analysis regarding parameter insurer security loading was performed. One main conclusions initial level variable determines insure insure; thus, high levels wealth, always regardless maker. Moreover, parameters defining only have influence at low wealth.

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Article history: Received 17 April 2011 Received in revised form 20 November 2012 Accepted 23 April 2013 Available online xxxx

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11051070