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Risk-sharing rules for mortality pooling products with stochastic and correlated mortality rates

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<title>Risk-sharing rules for mortality pooling products with stochastic and correlated mortality rates</title>
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<name type="personal" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20260001517">
<namePart>Zhou, Yuxin</namePart>
<nameIdentifier>MAPA20260001517</nameIdentifier>
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<namePart>International Actuarial Association</namePart>
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<dateIssued encoding="marc">2025</dateIssued>
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<abstract displayLabel="Summary">This paper extends existing risk-sharing rules for mortality pooling products by incorporating stochastic and correlated mortality rates. It introduces a new rule, the joint expectation (JE) rule, which ensures actuarial fairness under these more realistic mortality conditions. The study analyzes how different risk-sharing rules, together with factors such as mortality volatility, pool size, member age and account balance, influence the distribution of mortality credits. It also evaluates a dynamic pool with heterogeneous members and examines outcomes under a systematic longevity shock. Results show that only the regression rule is affected by account balances, and that larger pools increase sensitivity to mortality deviations for certain cohorts. Overall, risk-sharing rules significantly shape fund balances and their responses to longevity shocks</abstract>
<note type="statement of responsibility">Yuxin Zhou...[et al.]</note>
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<topic>Distribución de riesgos</topic>
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<topic>Gestión de riesgos</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080555306">
<topic>Mortalidad</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080599300">
<topic>Tablas de mortalidad</topic>
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<topic>Cálculo integral</topic>
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<topic>Modelos matemáticos</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080555016">
<topic>Longevidad</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20190012829">
<topic>Equidad actuarial</topic>
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<topic>Productos de seguros</topic>
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<topic>Matemática del seguro</topic>
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<titleInfo>
<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>
<part>
<text>15/09/2025 Volume 55 Issue 3 - September 2025 , p.  585 - 614</text>
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