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Behavioral optimal insurance
Recurso electrónico / electronic resource
MAP20110070564
Behavioral optimal insurance / K.C.J. Sung... [et al.]
Sumario: The present work studies the optimal insurance policy offered by an insurer adopting a proportional premium principice to an insured whose decision-making behavior is modeled by Kahneman and Tversky's Cumulative Prospect Theory with convex probability distortions. We show that, under a fixed premium rate, the optimal insurance policy is a generalized insurance layer (that is, either an insurance layer or a stop-loss insurance). This optimal insurance decision problem is resolved by first converting it into three different sub-problems similar to those in jin and Zhou (2008); however, as we now demand a more regular optimal solution, a completely different approach has been developed to tackle them. When the premium is regarded as a decision variable and there is no risk loading, the optimal indemnity schedule in this form has no deductibles but a cap; further results also suggests that the deductible amount will be reduced if the risk loading is decreased. As a whole, our paper provides a theoretical explanation for the popularity of limited coverage insurance policies in the market as observed by many socio-economists, which serves as a mathematical bridge between behavioral finance and actuarial science.
En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 01/11/2011 Tomo 49 Número 3 - 2011 , p. 418-428
1. Matemática del seguro ‌. 2. Pólizas ‌. 3. Teoría matemática ‌. 4. Análisis actuarial ‌. 5. Riesgo actuarial ‌. I. Sung, K.C.J. ‌. II. Title.