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Optimal reinsurance policy : The adjustment coefficient and the expected utility criteria

dc.contributor.authorGuerra, Manuel
dc.contributor.authorCenteno, M. de Lourdes
dc.date.accessioned2023-05-12T18:03:27Z
dc.date.available2023-05-12T18:03:27Z
dc.date.issued2008
dc.description.abstractThis paper is concerned with the optimal form of reinsurance from the ceding company point of view, when the cedent seeks to maximize the adjustment coefficient of the retained risk. We deal with the problem by exploring the relationship between maximizing the adjustment coefficient and maximizing the expected utility of wealth for the exponential utility function, both with respect to the retained risk of the insurer. Assuming that the premium calculation principle is a convex functional and that some other quite general conditions are fulfilled, we prove the existence and uniqueness of solutions and provide a necessary optimal condition. These results are used to find the optimal reinsurance policy when the reinsurance premium calculation principle is the expected value principle or the reinsurance loading is an increasing function of the variance. In the expected value case the optimal form of reinsurance is a stop-loss contract. In the other cases, it is described by a nonlinear function.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationGuerra, Manuel and M. de Lourdes Centeno. (2008). “Optimal reinsurance policy: The adjustment coefficient and the expected utility criteria”. Insurance: Mathematics and Economics, Vol. 42, Issue 2: pp. 529–539. (Search PDF in 2023).pt_PT
dc.identifier.doi10.1016/j.insmatheco.2007.02.008pt_PT
dc.identifier.issn0167-6687
dc.identifier.urihttp://hdl.handle.net/10400.5/27763
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.subjectOptimal Reinsurancept_PT
dc.subjectRiskpt_PT
dc.subjectStop Losspt_PT
dc.subjectRuin Probabilitypt_PT
dc.subjectAdjustment Coefficientpt_PT
dc.subjectPremium Principlespt_PT
dc.subjectExponential Utility Functionpt_PT
dc.titleOptimal reinsurance policy : The adjustment coefficient and the expected utility criteriapt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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