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The Term Structure of Reserve Durations and the Duration of Aggregate Reserves

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  • Chenghsien Tsai

Abstract

Estimating the duration gap of a life insurer demands the knowledge on the durations of liabilities and assets. The literature analyzed the durations of assets extensively but rendered limited analyses on the durations of insurance liabilities. This article calculated the reserve durations for individual policies and estimated the duration of the aggregate reserves. The results showed that the duration of the policy reserve might be negative and/or have a large figure. They further revealed an interesting pattern of the reserve duration with respect to the policy's time to maturity. A term structure with abnormal durations, however, does not result in an abnormal duration of the aggregate reserves.

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  • Chenghsien Tsai, 2009. "The Term Structure of Reserve Durations and the Duration of Aggregate Reserves," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(2), pages 419-441, June.
    • Handle: RePEc:bla:jrinsu:v:76:y:2009:i:2:p:419-441
    DOI: 10.1111/j.1539-6975.2009.01305.x
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    References listed on IDEAS

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    7. Tsai, Chenghsien & Kuo, Weiyu & Chen, Wei-Kuang, 2002. "Early surrender and the distribution of policy reserves," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 429-445, December.
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    Cited by:

    1. Chenghsien Tsai, 2012. "The Impacts of Surrender Options on Reserve Durations," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 15(2), pages 165-184, September.
    2. Lin, Tzuling & Tsai, Cary Chi-Liang, 2013. "On the mortality/longevity risk hedging with mortality immunization," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 580-596.
    3. Axel Möhlmann, 2021. "Interest rate risk of life insurers: Evidence from accounting data," Financial Management, Financial Management Association International, vol. 50(2), pages 587-612, June.

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