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Life Insurance in a Contingent Claim Framework: Pricing and Regulatory Implications

Author

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  • Eric Briys

    (Professor of Finance, Groupe HEC, F-78350 Jouy-en-Josas, France)

  • François De Varenne

    ([1] 2Ph.D. Student Research Fellow, Groupe HEC, France [2] 3Research Fellow, FFSA, France)

Abstract

In this paper we develop a contingent claim model to evaluate the equity and liabilities of a life insurance company. The limited liability of shareholders is explicitly modelled. We focus on a specific type of life insurance policy–namely, the profit-sharing policy. In this policy, the policyholder is entitled to a guaranteed interest rate and a percentage of the company's yearly financial revenues. The implicit equilibrium interest rate and profit-sharing ratio are derived and analyzed. We finally discuss regulatory measures frequently encountered in the life insurance business such as rate ceilings, capital ratios, and asset restrictions. The Geneva Papers on Risk and Insurance Theory (1994) 19, 53–72. doi:10.1007/BF01112014

Suggested Citation

  • Eric Briys & François De Varenne, 1994. "Life Insurance in a Contingent Claim Framework: Pricing and Regulatory Implications," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 19(1), pages 53-72, June.
    • Handle: RePEc:pal:genrir:v:19:y:1994:i:1:p:53-72
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    Citations

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    Cited by:

    1. Lin, Hongcan & Saunders, David & Weng, Chengguo, 2017. "Optimal investment strategies for participating contracts," Insurance: Mathematics and Economics, Elsevier, vol. 73(C), pages 137-155.
    2. Olivier Le Courtois & François Quittard-Pinon & Xiaoshan Su, 2020. "Pricing and hedging defaultable participating contracts with regime switching and jump risk," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 303-339, June.
    3. Nordahl, Helge A., 2008. "Valuation of life insurance surrender and exchange options," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 909-919, June.
    4. Cheng, Chunli, 2022. "Beyond death: The impact of a population-wide health shock on life insurance," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    5. Fu-Wei Huang & Panpan Lin & Jyh-Horng Lin & Ching-Hui Chang, 2023. "The impact of war on insurer safety: a contingent claim model analysis," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-6, December.
    6. Yi, Minli & Yang, Yang & Lin, Jyh-Horng, 2021. "Affiliated reinsurance and insurer performance under capital regulation," Finance Research Letters, Elsevier, vol. 39(C).
    7. Chen, Shi & Yao, Wenyu & Huang, Fu-Wei, 2021. "Multiple shadow insurance activities and life insurance policyholder protection," Finance Research Letters, Elsevier, vol. 38(C).
    8. Lin, Jyh-Horng & Li, Xuelian & Lin, Panpan, 2022. "Could we rely on credit swap hedging as a substitute for insurer blockchain technology involvement?," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 266-281.
    9. Li, Xuelian & Zhou, Wei & Lin, Jyh-Jiuan & Chang, Ching-Hui, 2023. "Insurer financing for borrowing producers in a supply chain under alternative carbon allowance trades," Energy Economics, Elsevier, vol. 121(C).
    10. Døskeland, Trond M. & Nordahl, Helge A., 2008. "Optimal pension insurance design," Journal of Banking & Finance, Elsevier, vol. 32(3), pages 382-392, March.
    11. Steffensen, Mogens, 2002. "Intervention options in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 71-85, August.
    12. Bernard, Carole & Le Courtois, Olivier & Quittard-Pinon, Francois, 2005. "Market value of life insurance contracts under stochastic interest rates and default risk," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 499-516, June.
    13. Chen, An & Suchanecki, Michael, 2007. "Default risk, bankruptcy procedures and the market value of life insurance liabilities," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 231-255, March.
    14. Christophe Morel & Brigitte Poiblanc, 2001. "Une lecture "optionnelle" du bilan des compagnies d'assurance-vie," Économie et Prévision, Programme National Persée, vol. 149(3), pages 65-71.
    15. Chen, Shi & Yang, Yang & Lin, Jyh-Horng, 2020. "Capped borrower credit risk and insurer hedging during the COVID-19 outbreak," Finance Research Letters, Elsevier, vol. 36(C).
    16. Lin, Jyh-Horng & Li, Xuelian, 2017. "Regulatory policies on Gramm-Leach-Bliley consolidation of commercial banking, shadow banking, and life insurance," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 50(C), pages 69-84.
    17. Chen, Shi & Huang, Fu-Wei & Lin, Jyh-Horng, 2023. "Green technology choices under the cap-and-trade mechanism with insurer green finance in a dragon-king environment," Energy Economics, Elsevier, vol. 117(C).
    18. Cheng, Chunli & Hilpert, Christian & Miri Lavasani, Aidin & Schaefer, Mick, 2023. "Surrender contagion in life insurance," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1465-1479.
    19. Li, Xuelian & Chen, Lingzhi & Lin, Jyh-Horng, 2023. "Cap-and-trade mechanisms, green technology investment, and shadow insurance in a black swan environment," Energy Economics, Elsevier, vol. 124(C).
    20. Cheng, Chunli & Li, Jing, 2018. "Early default risk and surrender risk: Impacts on participating life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 30-43.
    21. Klumpes, Paul J. M. & Shackleton, Mark B., 2000. "Valuing the strategic option to sell life insurance business: Theory and evidence," Journal of Banking & Finance, Elsevier, vol. 24(10), pages 1681-1702, October.
    22. Li, Xuelian & Lin, Panpan & Lin, Jyh-Horng, 2020. "COVID-19, insurer board utility, and capital regulation," Finance Research Letters, Elsevier, vol. 36(C).
    23. An Chen & Xia Su, 2009. "Knightian uncertainty and insurance regulation decision," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 32(1), pages 13-33, May.
    24. Huang, Fu-Wei & Chen, Shi & Lin, Jyh-Horng, 2022. "Free riding and insurer carbon-linked investment," Energy Economics, Elsevier, vol. 107(C).
    25. Chen, Shi & Huang, Fu-Wei & Lin, Jyh-Horng, 2022. "Life insurance policyholder protection, government green subsidy, and cap-and-trade transactions in a black swan environment," Energy Economics, Elsevier, vol. 115(C).

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