Hedging mortality-longevity risks for multiple years

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<title>Hedging mortality-longevity risks for multiple years</title>
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<namePart>Lin, Tzuling</namePart>
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<abstract displayLabel="Summary">In this article, we develop strategies of hedging multiyear mortality (longevity) risk for a life insurer (an annuity provider) through purchasing some mortality-linked securities from a financial intermediary. Under the multiyear hedges for a life insurers (an annuity provider) involving two uncertain factors-the mortality rate and the number of life insureds (annuity recipients)- we derive closed-form formulas for the optimal units of purchasing underlying mortality-linked securities. Numerical illustrations show that the downside risk of loss because of mortality (longevity) risk for the life insurer (annuity provider) can be significantly hedged by purchasing the optimal units of mortality-linked securities, and the sample risk can be reduced by increasing the number of life insureds (annuity recipients) at issue. For a financial intermediary, adopting an optimal weight of a portfolio of life and annuity business can reduce extreme losses from the longevity risk but could slightly increase losses from the mortality risk, and the sample risk cannot necessarily be eliminated by increasing the number of life insureds/annuity recipients at issue.</abstract>
<note type="statement of responsibility">Tzuling Lin, Cary Chi-Liang Tsai</note>
<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="MAPA20080573614">
<topic>Renta vitalicia</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080590567">
<topic>Empresas de seguros</topic>
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<topic>Asegurados</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080570590">
<topic>Seguro de vida</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080555306">
<topic>Mortalidad</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20200021438">
<topic>Ageingnomics. Economia senior</topic>
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<title>North American actuarial journal</title>
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<publisher>Schaumburg : Society of Actuaries, 1997-</publisher>
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<identifier type="issn">1092-0277</identifier>
<identifier type="local">MAP20077000239</identifier>
<part>
<text>02/03/2020 Tomo 24 Número 1 - 2020 , p. 118-140</text>
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