We consider a contingent claim model framework for participating life insurance contracts and assume a competitive market with minimum solvency requirements as provided by Solvency II. In a first step, the implications of the regulator's imposing a particular interest rate guarantee on the insurer's asset allocation are analyzed in a reference situation. We study the sensitivity of the interaction between the interest rate guarantee and the asset allocation when the risk-free interest rate changes. Particular attention is paid to the current market situation where the guaranteed interest rate is often close to the risk-free interest rate. In a second step, we assess at what level the interest rate guarantee should be set by the regulator in order to maximize policyholders' utility. We show that the results yielded by the proposed concept to derive an optimal value for the interest rate guarantee are very stable for various model parameters."> We consider a contingent claim model framework for participating life insurance contracts and assume a competitive market with minimum solvency requirements as provided by Solvency II. In a first step, the implications of the regulator's imposing a particular interest rate guarantee on the insurer's asset allocation are analyzed in a reference situation. We study the sensitivity of the interaction between the interest rate guarantee and the asset allocation when the risk-free interest rate changes. Particular attention is paid to the current market situation where the guaranteed interest rate is often close to the risk-free interest rate. In a second step, we assess at what level the interest rate guarantee should be set by the regulator in order to maximize policyholders' utility. We show that the results yielded by the proposed concept to derive an optimal value for the interest rate guarantee are very stable for various model parameters."> We consider a contingent claim model framework for participating life insurance contracts and assume a competitive market with minimum solvency requirem">
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A Proposal on How the Regulator Should Set Minimum Interest Rate Guarantees in Participating Life Insurance Contracts

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  • Hato Schmeiser
  • Joël Wagner
Abstract
type="main" xml:lang="en"> We consider a contingent claim model framework for participating life insurance contracts and assume a competitive market with minimum solvency requirements as provided by Solvency II. In a first step, the implications of the regulator's imposing a particular interest rate guarantee on the insurer's asset allocation are analyzed in a reference situation. We study the sensitivity of the interaction between the interest rate guarantee and the asset allocation when the risk-free interest rate changes. Particular attention is paid to the current market situation where the guaranteed interest rate is often close to the risk-free interest rate. In a second step, we assess at what level the interest rate guarantee should be set by the regulator in order to maximize policyholders' utility. We show that the results yielded by the proposed concept to derive an optimal value for the interest rate guarantee are very stable for various model parameters.

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  • Hato Schmeiser & Joël Wagner, 2015. "A Proposal on How the Regulator Should Set Minimum Interest Rate Guarantees in Participating Life Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(3), pages 659-686, September.
    • Handle: RePEc:bla:jrinsu:v:82:y:2015:i:3:p:659-686
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    Cited by:

    1. Fabrice Borel-Mathurin & Pierre-Emmanuel Darpeix & Quentin Guibert & Stéphane Loisel, 2018. "Main Determinants of Profit-Sharing Policy in the French Life Insurance Industry," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 43(3), pages 420-455, July.
    2. Antje Mahayni & Oliver Lubos & Sascha Offermann, 2021. "Minimum return rate guarantees under default risk: optimal design of quantile guarantees," Review of Managerial Science, Springer, vol. 15(7), pages 1821-1848, October.
    3. Felix Fie{ss}inger & Mitja Stadje, 2024. "Mean-Variance Optimization for Participating Life Insurance Contracts," Papers 2407.11761, arXiv.org.
    4. Wilaiporn Suwanmalai & Simon Zaby, 2022. "How Do Life Insurers Respond to a Prolonged Low Interest Rate Environment? A Literature Review," Risks, MDPI, vol. 10(8), pages 1-16, August.
    5. Gatzert, Nadine, 2019. "An analysis of transaction costs in participating life insurance under mean–variance preferences," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 185-197.
    6. Chen, An & Hieber, Peter & Nguyen, Thai, 2019. "Constrained non-concave utility maximization: An application to life insurance contracts with guarantees," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1119-1135.
    7. Christian Dehm & Thai Nguyen & Mitja Stadje, 2020. "Non-concave expected utility optimization with uncertain time horizon," Papers 2005.13831, arXiv.org, revised Oct 2021.
    8. Lee, Hangsuck & Choi, Hyung-Suk & Ha, Hongjun, 2020. "A sharing mechanism of investment outcome for interest-sensitive life insurance products," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    9. Chen, An & Stadje, Mitja & Zhang, Fangyuan, 2024. "On the equivalence between Value-at-Risk- and Expected Shortfall-based risk measures in non-concave optimization," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 114-129.
    10. Naqvi, Hassan & Pungaliya, Raunaq, 2023. "Bank size and the transmission of monetary policy: Revisiting the lending channel," Journal of Banking & Finance, Elsevier, vol. 146(C).

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