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Stochastic modeling of financing longevity risk in pension insurance


  • Ronkainen, Vesa


1 Introduction 11 1.1 Motivation 11 1.2 Pension insurance and riskmanagement 12 1.3 Solvency II 15 1.4 Value-at-Risk (VaR) 18 1.5 Insurancemodeling 19 2 Equity index model 23 2.1 Data on equity returns 23 2.2 Model specification and preliminary estimation 29 2.3 Parameter uncertainty via Markov Chain Monte-Carlo 35 2.4 Simulation of future equity returns 38 3 Bond index model 44 3.1 Mediumtermbond index data 45 3.2 Reviewof interest ratemodeling approaches 48 3.3 Model specification and estimation 51 3.4 Parameter uncertainty 57 4 Mortality model 66 4.1 Introduction 66 4.2 Data 67 4.3 Review of the Lee-Cartermodel 69 4.4 Parameter uncertainty in the Lee-Carter model 73 4.5 Gender-specificmortality 77 4.6 The local bilinearmodel 83 5 Dependence modeling 88 5.1 Introduction 88 5.2 Model structure 90 5.3 Model specification 92 5.4 Simulation 94 6 Pension insurance applications 94 6.1 Introduction 94 6.2 Annuity premium and risk analysis for a cohort aged 65 95 6.3 Annuity premium and risk analysis for multiple cohorts 106 6.4 Annuities fromthe customer's point of view 109 7 Discussion 113 8 Appendix 124 8.1 Model implementation example 124

Suggested Citation

  • Ronkainen, Vesa, 2012. "Stochastic modeling of financing longevity risk in pension insurance," Scientific Monographs, Bank of Finland, number 2012_044, August.
  • Handle: RePEc:bof:bofism:2012_044

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    References listed on IDEAS

    1. Alho, Juha M. & Hougaard Jensen, Svend E. & Lassila, Jukka & Valkonen, Tarmo, 2005. "Controlling the effects of demographic risks: the role of pension indexation schemes," Journal of Pension Economics and Finance, Cambridge University Press, vol. 4(02), pages 139-153, July.
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    4. Kroner, Kenneth F & Ng, Victor K, 1998. "Modeling Asymmetric Comovements of Asset Returns," Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 817-844.
    5. Olivieri, Annamaria & Pitacco, Ermanno, 2009. "Stochastic Mortality: The Impact on Target Capital," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 39(02), pages 541-563, November.
    6. Juha M. Alho, 2008. "Annuity-Based Assessment of Uncertainty in Mortality," Revue économique, Presses de Sciences-Po, vol. 59(5), pages 927-940.
    7. Booth, H. & Tickle, L., 2008. "Mortality Modelling and Forecasting: a Review of Methods," Annals of Actuarial Science, Cambridge University Press, vol. 3(1-2), pages 3-43, September.
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    13. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two-Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718.
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    16. Wu, Yangru & Zhang, Hua, 1996. "Mean Reversion in Interest Rates: New Evidence from a Panel of OECD Countries," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 604-621, November.
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