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On combining quota-share and excess of loss

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Bibliographic Details
Summary:This paper is devoted to the study of the initial reserve, as a function of the retention limit, needed to assure that the probability of ruin, at the end of a certain period of time, is not higher than an agreed value, for an excess of loss treaty. To assess the probability of ruin, the normal and the normal power approximation are used. It is shown that the initial reserve is not in general an increasing function of the retention, having a minimum under fair assumptions.
Main Authors:Centeno, M. de Lourdes
Subject:Reinsurance Quota-share Excess of Loss Skewness Coefficient of Variation Constrained Optimization
Year:1985
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade de Lisboa
Language:English
Origin:Repositório da Universidade de Lisboa
Description
Summary:This paper is devoted to the study of the initial reserve, as a function of the retention limit, needed to assure that the probability of ruin, at the end of a certain period of time, is not higher than an agreed value, for an excess of loss treaty. To assess the probability of ruin, the normal and the normal power approximation are used. It is shown that the initial reserve is not in general an increasing function of the retention, having a minimum under fair assumptions.