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Stochastic Mortality, Macroeconomic Risks, and Life Insurer Solvency

  • Katja Hanewald
  • Thomas Post
  • Helmut Gründl

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

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2009-015.pdf
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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2009-015.

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Length: 24 pages
Date of creation: Mar 2009
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2009-015
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  1. Bauer Daniel & Weber Frederik, 2008. "Assessing Investment and Longevity Risks within Immediate Annuities," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-24, September.
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  7. Helmut Gründl & Thomas Post & Roman N. Schulze, 2006. "To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(1), pages 19-41.
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  10. Kling, Alexander & Richter, Andreas & Ru[ss], Jochen, 2007. "The interaction of guarantees, surplus distribution, and asset allocation in with-profit life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 40(1), pages 164-178, January.
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  13. Wolfgang H. Reichmuth & Samad Sarferaz, 2008. "The Influence of the Business Cycle on Mortality," SFB 649 Discussion Papers SFB649DP2008-059, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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  15. José Tapia granados, 2008. "Macroeconomic fluctuations and mortality in postwar Japan," Demography, Springer, vol. 45(2), pages 323-343, May.
  16. Brouhns, Natacha & Denuit, Michel & Vermunt, Jeroen K., 2002. "A Poisson log-bilinear regression approach to the construction of projected lifetables," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 373-393, December.
  17. Hári, Norbert & De Waegenaere, Anja & Melenberg, Bertrand & Nijman, Theo E., 2008. "Longevity risk in portfolios of pension annuities," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 505-519, April.
  18. Debón, A. & Montes, F. & Puig, F., 2008. "Modelling and forecasting mortality in Spain," European Journal of Operational Research, Elsevier, vol. 189(3), pages 624-637, September.
  19. Gustavo Ferro, 2009. "One Possible Life Insurance Market Response to Ageing," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan, vol. 34(1), pages 119-136, January.
  20. Tapia Granados, José A. & Ionides, Edward L., 2008. "The reversal of the relation between economic growth and health progress: Sweden in the 19th and 20th centuries," Journal of Health Economics, Elsevier, vol. 27(3), pages 544-563, May.
  21. Renshaw, A.E. & Haberman, S., 2006. "A cohort-based extension to the Lee-Carter model for mortality reduction factors," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 556-570, June.
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  23. Hári, Norbert & De Waegenaere, Anja & Melenberg, Bertrand & Nijman, Theo E., 2008. "Estimating the term structure of mortality," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 492-504, April.
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