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Optimal reinsurance revisited - A geometric approach

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<title>Optimal reinsurance revisited - A geometric approach</title>
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<name type="personal" usage="primary" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080650322">
<namePart>Chun Cheung, Ka</namePart>
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<dateIssued encoding="marc">2010</dateIssued>
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<abstract displayLabel="Summary">In this paper, we reexamine the two optimal reinsurance problems studied in Cai et al. (2008), in which the objectives are to find the optimal reinsurance contracts that minimize the value-at-risk (VaR) and the conditional tail expectation (CTE) of the total risk exposure under the expectation premium principle. We provide a simpler and more transparent approach to solve these problems by using intuitive geometric arguments. The usefulness of this approach is further demonstrated by solving the VaR-minimization problem when the expectation premium principle is replaced by Wang's premium principle.
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<note type="statement of responsibility">Ka Chun Cheung</note>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
<identifier type="local">MAP20077000420</identifier>
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<text>03/05/2010 Volumen 40 Número 1 - mayo 2010 , p. 221-239</text>
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