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Assessing the solvency of insurance portfolios via a continuous time cohort model

Author

Listed:
  • Petar Jevtic'

    (Department of Mathematics and Statistics, McMaster University)

  • Luca Regis

    (IMT School for Advanced Studies Lucca)

Abstract
This paper evaluates the solvency of a portfolio of assets and liabilities of an insurer subject to both longevity and financial risks. Liabilities are evaluated at fair-value and, as a consequence, interest-rate risk can affect both the assets and the liabilities. Longevity risk is described via a continuous-time cohort model. We evaluate the effects of natural hedging strategies on the risk profile of an insurance portfolio in run-off. Numerical simulations, calibrated to UK historical data, show that systematic longevity risk is of particular importance and needs to be hedged. Natural hedging can improve the solvency of the insurer, if interest-rate risk is appropriately managed. We stress that asset allocation choices should not be independent of the composition of the liability portfolio of the insurer.

Suggested Citation

  • Petar Jevtic' & Luca Regis, 2014. "Assessing the solvency of insurance portfolios via a continuous time cohort model," Working Papers 7/2014, IMT School for Advanced Studies Lucca, revised Jul 2014.
    • Handle: RePEc:ial:wpaper:7/2014
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    References listed on IDEAS

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    Cited by:

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    2. Nguyen, Duc Khuong & Vo, Dinh-Tri, 2020. "Enterprise risk management and solvency: The case of the listed EU insurers," Journal of Business Research, Elsevier, vol. 113(C), pages 360-369.
    3. Zhou, Hongjuan & Zhou, Kenneth Q. & Li, Xianping, 2022. "Stochastic mortality dynamics driven by mixed fractional Brownian motion," Insurance: Mathematics and Economics, Elsevier, vol. 106(C), pages 218-238.

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    More about this item

    Keywords

    longevity risk; natural hedging; continuous-time cohort models for longevity; solvency of insurance portfolios; solvency requirements; longevity and interest-rate risk;
    All these keywords.

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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