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Stochastic Mortality, Macroeconomic Risks and Life Insurer Solvency

Author

Listed:
  • Katja Hanewald

    (Australian School of Business, School of Actuarial Studies, University of New South Wales, Sydney NSW 2052, Australia.)

  • Thomas Post

    (School of Business and Economics, Department of Finance, Maastricht University, Tongersestraat 53, 6211 LM Maastricht, The Netherlands.)

  • Helmut Gründl

    (Faculty of Economics and Business Administration, Chair of Insurance and Regulation, International Center for Insurance Regulation, Goethe-Universit&aauml;t Frankfurt am Main, Grüneburgplatz 1, 60323 Frankfurt am Main, Germany.)

Abstract

Motivated by a recent demographic study establishing a link between macroeconomic fluctuations and the mortality index kt in the Lee–Carter model, we develop a dynamic asset-liability model to assess the impact of macroeconomic fluctuations on the solvency of a life insurance company. Liabilities in this stochastic simulation framework are driven by a GDP-linked variant of the Lee–Carter mortality model. Furthermore, interest rates and stock prices react to changes in GDP, which itself is modelled as a stochastic process. Our simulation results show that insolvency probabilities are significantly higher when the reaction of mortality rates to changes in GDP is incorporated.

Suggested Citation

  • Katja Hanewald & Thomas Post & Helmut Gründl, 2011. "Stochastic Mortality, Macroeconomic Risks and Life Insurer Solvency," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 36(3), pages 458-475, July.
    • Handle: RePEc:pal:gpprii:v:36:y:2011:i:3:p:458-475
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    Cited by:

    1. Jassem Alokla & Arief Daynes & Paraskevas Pagas & Panagiotis Tzouvanas, 2023. "Solvency determinants: evidence from the Takaful insurance industry," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 48(4), pages 847-871, October.
    2. Franca Glenzer & Bertrand Achou, 2019. "Annuities, long-term care insurance, and insurer solvency," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(2), pages 252-276, April.
    3. Helena Chuliá & Montserrat Guillén & Jorge M. Uribe, 2015. "Mortality and Longevity Risks in the United Kingdom: Dynamic Factor Models and Copula-Functions," Working Papers 2015-03, Universitat de Barcelona, UB Riskcenter.
    4. Shang, Han Lin & Haberman, Steven, 2017. "Grouped multivariate and functional time series forecasting:An application to annuity pricing," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 166-179.
    5. Wang, Pengjie & Pantelous, Athanasios A. & Vahid, Farshid, 2023. "Multi-population mortality projection: The augmented common factor model with structural breaks," International Journal of Forecasting, Elsevier, vol. 39(1), pages 450-469.
    6. Höring, Dirk, 2012. "Will Solvency II market risk requirements bite? The impact of Solvency II on insurers' asset allocation," ICIR Working Paper Series 11/12, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).

    More about this item

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • J11 - Labor and Demographic Economics - - Demographic Economics - - - Demographic Trends, Macroeconomic Effects, and Forecasts

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