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Minimum Protection in DC Funding Pension Plans and Margrabe Options

Author

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  • Pierre Devolder

    (Institute of Statistic, Biostatistic and Actuarial Science (ISBA), Université catholique de Louvain (UCL), Voie du Roman Pays, 20, 1348 Louvain-la-Neuve, Belgium)

  • Sébastien De Valeriola

    (Institute of Statistic, Biostatistic and Actuarial Science (ISBA), Université catholique de Louvain (UCL), Voie du Roman Pays, 20, 1348 Louvain-la-Neuve, Belgium)

Abstract

The regulation on the Belgian occupational pension schemes has been recently changed. The new law allows for employers to choose between two different types of guarantees to offer to their affiliates. In this paper, we address the question arising naturally: which of the two guarantees is the best one? In order to answer that question, we set up a stochastic model and use financial pricing tools to compare the methods. More specifically, we link the pension liabilities to a portfolio of financial assets and compute the price of exchange options through the Margrabe formula.

Suggested Citation

  • Pierre Devolder & Sébastien De Valeriola, 2017. "Minimum Protection in DC Funding Pension Plans and Margrabe Options," Risks, MDPI, vol. 5(1), pages 1-14, January.
    • Handle: RePEc:gam:jrisks:v:5:y:2017:i:1:p:5-:d:88075
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    References listed on IDEAS

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    1. 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.
    2. Consiglio, Andrea & Saunders, David & Zenios, Stavros A., 2006. "Asset and liability management for insurance products with minimum guarantees: The UK case," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 645-667, February.
    3. Consiglio, Andrea & Tumminello, Michele & Zenios, Stavros A., 2015. "Designing and pricing guarantee options in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 267-279.
    4. Consiglio, Andrea & Cocco, Flavio & Zenios, Stavros A., 2008. "Asset and liability modelling for participating policies with guarantees," European Journal of Operational Research, Elsevier, vol. 186(1), pages 380-404, April.
    5. Yang, Sharon S. & Yueh, Meng-Lan & Tang, Chun-Hua, 2008. "Valuation of the interest rate guarantee embedded in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 920-934, June.
    6. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    7. 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.
    8. Marie‐Eve Lachance & Olivia S. Mitchell & Kent Smetters, 2003. "Guaranteeing Defined Contribution Pensions: The Option to Buy Back a Defined Benefit Promise," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(1), pages 1-16, March.
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    Cited by:

    1. Luca Regis, 2017. "Special Issue “Actuarial and Financial Risks in Life Insurance, Pensions and Household Finance”," Risks, MDPI, vol. 5(4), pages 1-2, December.
    2. 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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