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Risk-based capital for variable annuity under stochastic interest rate

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<title>Risk-based capital for variable annuity under stochastic interest rate</title>
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<name type="personal" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080000882">
<namePart>Xu, Wei</namePart>
<nameIdentifier>MAPA20080000882</nameIdentifier>
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<genre authority="marcgt">periodical</genre>
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<dateIssued encoding="marc">2020</dateIssued>
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<abstract displayLabel="Summary">Interest rate is one of the main risks for the liability of the variable annuity (VA) due to its long maturity. However, most existing studies on the risk measures of the VA assume a constant interest rate. In this paper, we propose an efficient two-dimensional willow tree method to compute the liability distribution of the VA with the joint dynamics of the mutual fund and interest rate. The risk measures can then be computed by the backward induction on the tree structure. We also analyze the sensitivity and impact on the risk measures with regard to the market model parameters, contract attributes, and monetary policy changes. It illustrates that the liability of the VA is determined by the long-term interest rate whose increment leads to a decrease in the liability. The positive correlation between the interest rate and mutual fund generates a fat-tailed liability distribution. Moreover, the monetary policy change has a bigger impact on the long-term VAs than the short-term contracts.</abstract>
<note type="statement of responsibility">Jindong Wang, Wei Xu</note>
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<topic>Anualidad variable</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080578374">
<topic>Tasas de interés</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080586874">
<topic>Política monetaria</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080579258">
<topic>Cálculo actuarial</topic>
</subject>
<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20080603120">
<topic>Procesos estocásticos</topic>
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<classification authority="">6</classification>
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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>01/09/2020 Volumen 50 Número 3 - septiembre 2020 , p. 959-999</text>
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<recordIdentifier source="MAP">MAP20200029793</recordIdentifier>
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