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An option pricing approach for measuring Solvency Capital Requirements in Insurance Industry

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  • Coppola, Mariarosaria
  • D’Amato, Valeria
  • Levantesi, Susanna

Abstract

Solvency capital requirements indicated by Solvency II against longevity risk involve distortions and inconsistencies caused by the invariance of the longevity shock compared to the age and time assumed by the regulatory model. To overcome the problem we introduce a temporal structure of the time mortality volatility which is included as a driver of longevity shock, by modeling a rolling window affine stochastic model.

Suggested Citation

  • Coppola, Mariarosaria & D’Amato, Valeria & Levantesi, Susanna, 2018. "An option pricing approach for measuring Solvency Capital Requirements in Insurance Industry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 717-728.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:717-728
    DOI: 10.1016/j.physa.2018.05.113
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    References listed on IDEAS

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    1. Stein, Elias M & Stein, Jeremy C, 1991. "Stock Price Distributions with Stochastic Volatility: An Analytic Approach," The Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 727-752.
    2. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Mariarosaria Coppola & Valeria D'Amato, 2012. "Backtesting the solvency capital requirement for longevity risk," Journal of Risk Finance, Emerald Group Publishing, vol. 13(4), pages 309-319, August.
    4. Robert W. Klein & Shaun Wang, 2009. "Catastrophe Risk Financing in the United States and the European Union: A Comparative Analysis of Alternative Regulatory Approaches," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 607-637, September.
    5. 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.
    6. Bauer Daniel & Börger Matthias & Ruß Jochen & Zwiesler Hans-Joachim, 2008. "The Volatility of Mortality," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-29, September.
    7. Schöbel, Rainer & Zhu, Jianwei, 1998. "Stochastic volatility with an Ornstein-Uhlenbeck process: An extension," Tübinger Diskussionsbeiträge 139, University of Tübingen, School of Business and Economics.
    8. Meyricke, Ramona & Sherris, Michael, 2014. "Longevity risk, cost of capital and hedging for life insurers under Solvency II," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 147-155.
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    Cited by:

    1. Striani, Fabrizio, 2023. "Life-cycle consumption and life insurance: Empirical evidence from Italian Survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).

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