Some mathematical aspects of price optimisation

Calculation of an optimal tariff is a principal challenge for pricing actuaries. In this contribution we are concerned with the renewal insurance business discussing various mathematical aspects of calculation of an optimal renewal tariff. Our motivation comes from two important actuarial tasks, nam...

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Bibliographic Details
Published inScandinavian actuarial journal Vol. 2018; no. 5; pp. 379 - 403
Main Authors Hashorva, Enkelejd, Ratovomirija, Gildas, Tamraz, Maissa, Bai, Yizhou
Format Journal Article
LanguageEnglish
Published Stockholm Taylor & Francis Ltd 28.05.2018
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ISSN0346-1238
1651-2030
DOI10.1080/03461238.2017.1357654

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Summary:Calculation of an optimal tariff is a principal challenge for pricing actuaries. In this contribution we are concerned with the renewal insurance business discussing various mathematical aspects of calculation of an optimal renewal tariff. Our motivation comes from two important actuarial tasks, namely (a) construction of an optimal renewal tariff subject to business and technical constraints, and (b) determination of an optimal allocation of certain premium loadings. We consider both continuous and discrete optimisation and then present several algorithmic suboptimal solutions. Additionally, we explore some simulation techniques. Several illustrative examples show both the complexity and the importance of the optimisation approach.
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ISSN:0346-1238
1651-2030
DOI:10.1080/03461238.2017.1357654