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Dynamic hybrid products with guarantees—An optimal portfolio framework

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  • Hambardzumyan, Hayk
  • Korn, Ralf

Abstract

Dynamic hybrid products are pension products that consist of a dynamic combination of classical with profits participating life insurance contracts (or a bank account) and fund savings plans. To put such products in an optimal utility framework, we derive an optimal combination of a money market account, a CPPI-style fund and a free fund in continuous trading via transforming the original investment problem into a conventional portfolio problem in the presence of a guarantee condition. By this, we obtain (semi-) explicit forms of the dynamic weights for the different ingredients of a dynamic hybrid product.

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  • Hambardzumyan, Hayk & Korn, Ralf, 2019. "Dynamic hybrid products with guarantees—An optimal portfolio framework," Insurance: Mathematics and Economics, Elsevier, vol. 84(C), pages 54-66.
    • Handle: RePEc:eee:insuma:v:84:y:2019:i:c:p:54-66
    DOI: 10.1016/j.insmatheco.2018.11.005
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    References listed on IDEAS

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    1. Bohnert, Alexander & Born, Patricia & Gatzert, Nadine, 2014. "Dynamic hybrid products in life insurance: Assessing the policyholders’ viewpoint," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 87-99.
    2. Alexander Bohnert & Nadine Gatzert, 2014. "Fair Valuation and Risk Assessment of Dynamic Hybrid Products in Life Insurance: A Portfolio Consideration*," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 39(1), pages 148-172, January.
    3. Ralf Korn, 1997. "Optimal Portfolios:Stochastic Models for Optimal Investment and Risk Management in Continuous Time," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 3548, August.
    4. Griselda Deelstra & Martino Grasselli & Pierre-François Koehl, 2003. "Optimal investment strategies in the presence of a minimum guarantee," ULB Institutional Repository 2013/7598, ULB -- Universite Libre de Bruxelles.
    5. Balder, Sven & Brandl, Michael & Mahayni, Antje, 2009. "Effectiveness of CPPI strategies under discrete-time trading," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 204-220, January.
    6. Deelstra, Griselda & Grasselli, Martino & Koehl, Pierre-Francois, 2003. "Optimal investment strategies in the presence of a minimum guarantee," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 189-207, August.
    7. Ralf Korn, 2005. "Optimal portfolios with a positive lower bound on final wealth," Quantitative Finance, Taylor & Francis Journals, vol. 5(3), pages 315-321.
    8. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
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    Cited by:

    1. Escobar-Anel, Marcos & Havrylenko, Yevhen & Kschonnek, Michel & Zagst, Rudi, 2022. "Decrease of capital guarantees in life insurance products: Can reinsurance stop it?," Insurance: Mathematics and Economics, Elsevier, vol. 105(C), pages 14-40.
    2. Guohui Guan & Lin He & Zongxia Liang & Litian Zhang, 2024. "Optimal VPPI strategy under Omega ratio with stochastic benchmark," Papers 2403.13388, arXiv.org.
    3. An Chen & Thai Nguyen & Manuel Rach, 2021. "A collective investment problem in a stochastic volatility environment: The impact of sharing rules," Annals of Operations Research, Springer, vol. 302(1), pages 85-109, July.
    4. Nikolaj Moretti & Johannes Bartels, 2021. "Interaction effects between dynamic hybrid products and traditional deferred annuities in the German life insurance market," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 35(2), pages 193-224, June.
    5. Hanna, Vanessa & Hieber, Peter & Devolder, Pierre, 2021. "Mixed participating and unit-linked life insurance contracts: design, pricing and optimal strategy," LIDAM Discussion Papers ISBA 2021010, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).

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    More about this item

    Keywords

    Dynamic hybrid products; Continuous-time portfolio optimization; DTH-products; Discrete vs.; Continuous realization;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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