IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/616.html
   My bibliography  Save this paper

Mortality Options: the Point of View of an Insurer

Author

Listed:
  • Schmeck, Maren Diane

    (Center for Mathematical Economics, Bielefeld University)

  • Schmidli, Hanspeter

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We consider the surplus process of a life insurer who is able to buy a securitisation product to hedge mortality in a discrete time framework. Two cohorts are considered: one underlying the securitisation product and one for the portfolio of the insurer. In our main result we show that there exists a unique strategy that maximises the expected utility of the insurer. Our findings are illustrated by a tractable model for mortality catastrophe risk.

Suggested Citation

  • Schmeck, Maren Diane & Schmidli, Hanspeter, 2019. "Mortality Options: the Point of View of an Insurer," Center for Mathematical Economics Working Papers 616, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:616
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2935798/2935799
    File Function: First Version, 2019
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Delong, Lukasz & Gerrard, Russell & Haberman, Steven, 2008. "Mean-variance optimization problems for an accumulation phase in a defined benefit plan," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 107-118, February.
    2. Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
    3. David Blake & Andrew Cairns & Kevin Dowd & Richard MacMinn, 2006. "Longevity Bonds: Financial Engineering, Valuation, and Hedging," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 647-672, December.
    4. Menoncin, Francesco, 2008. "The role of longevity bonds in optimal portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 343-358, February.
    5. Schmock, Uwe, 1999. "Estimating the Value of the Wincat Coupons of the Winterthur Insurance Convertible Bond: A Study of the Model Risk1," ASTIN Bulletin, Cambridge University Press, vol. 29(1), pages 101-163, May.
    6. Knut Aase, 1999. "An Equilibrium Model of Catastrophe Insurance Futures and Spreads," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 24(1), pages 69-96, June.
    7. Paolo Battocchio & Francesco Menoncin & Olivier Scaillet, 2007. "Optimal asset allocation for pension funds under mortality risk during the accumulation and decumulation phases," Annals of Operations Research, Springer, vol. 152(1), pages 141-165, July.
    8. Cox, Samuel H. & Fairchild, Joseph R. & Pedersen, Hal W., 2000. "Economic Aspects of Securitization of Risk," ASTIN Bulletin, Cambridge University Press, vol. 30(1), pages 157-193, May.
    9. Dahl, Mikkel & Moller, Thomas, 2006. "Valuation and hedging of life insurance liabilities with systematic mortality risk," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 193-217, October.
    10. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    11. Stéphane Loisel, 2010. "Understanding, Modeling and Managing Longevity Risk: Key Issues and Main Challenges," Post-Print hal-00517902, HAL.
    12. Christensen, Claus Vorm & Schmidli, Hanspeter, 2000. "Pricing catastrophe insurance products based on actually reported claims," Insurance: Mathematics and Economics, Elsevier, vol. 27(2), pages 189-200, October.
    13. Samuel Cox & Hal Pedersen, 2000. "Catastrophe Risk Bonds," North American Actuarial Journal, Taylor & Francis Journals, vol. 4(4), pages 56-82.
    14. J. David Cummins & Hèlyette Geman, 1993. "An Asian Option to the Valuation of Insurance Futures Contracts," Center for Financial Institutions Working Papers 94-03, Wharton School Center for Financial Institutions, University of Pennsylvania.
    15. Biagini, Francesca & Rheinländer, Thorsten & Widenmann, Jan, 2013. "Hedging Mortality Claims With Longevity Bonds," ASTIN Bulletin, Cambridge University Press, vol. 43(2), pages 123-157, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nendel, Max & Riedel, Frank & Schmeck, Maren Diane, 2021. "A decomposition of general premium principles into risk and deviation," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 193-209.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schmeck, Maren Diane & Schmidli, Hanspeter, 2021. "Mortality options: The point of view of an insurer," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 98-115.
    2. Menoncin, Francesco & Regis, Luca, 2017. "Longevity-linked assets and pre-retirement consumption/portfolio decisions," Insurance: Mathematics and Economics, Elsevier, vol. 76(C), pages 75-86.
    3. Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
    4. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT School for Advanced Studies Lucca, revised May 2015.
    5. Blake, David & El Karoui, Nicole & Loisel, Stéphane & MacMinn, Richard, 2018. "Longevity risk and capital markets: The 2015–16 update," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 157-173.
    6. Tahir Choulli & Catherine Daveloose & Mich`ele Vanmaele, 2018. "Mortality/longevity Risk-Minimization with or without securitization," Papers 1805.11844, arXiv.org.
    7. Tahir Choulli & Catherine Daveloose & Michèle Vanmaele, 2021. "Mortality/Longevity Risk-Minimization with or without Securitization," Mathematics, MDPI, vol. 9(14), pages 1-27, July.
    8. Debonneuil, Edouard & Loisel, Stéphane & Planchet, Frédéric, 2018. "Do actuaries believe in longevity deceleration?," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 325-338.
    9. Bohm, Thomas & Waldvogel, Felix, 2012. "Etablierung eines außerbörslichen Kapitalmarktes für das Langlebigkeitsrisiko," Bayreuth Working Papers on Finance, Accounting and Taxation (FAcT-Papers) 2012-02, University of Bayreuth, Chair of Finance and Banking.
    10. Mathieu Gatumel & Dominique Guegan, 2008. "Towards an understanding approach of the insurance linked securities market," Post-Print halshs-00235354, HAL.
    11. Tat Wing Wong & Mei Choi Chiu & Hoi Ying Wong, 2017. "Managing Mortality Risk With Longevity Bonds When Mortality Rates Are Cointegrated," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(3), pages 987-1023, September.
    12. Di Giacinto, Marina & Mancinelli, Daniele & Marino, Mario & Oliva, Immacolata, 2024. "Pension funds with longevity risk: an optimal portfolio insurance approach," Insurance: Mathematics and Economics, Elsevier, vol. 119(C), pages 268-297.
    13. Ankush Agarwal & Christian-Oliver Ewald & Yongjie Wang, 2023. "Hedging longevity risk in defined contribution pension schemes," Computational Management Science, Springer, vol. 20(1), pages 1-34, December.
    14. Helena Aro & Teemu Pennanen, 2013. "Liability-driven investment in longevity risk management," Papers 1307.8261, arXiv.org.
    15. David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
    16. Eckhard Platen & David Taylor, 2016. "Loading Pricing of Catastrophe Bonds and Other Long-Dated, Insurance-Type Contracts," Research Paper Series 379, Quantitative Finance Research Centre, University of Technology, Sydney.
    17. Chen, Ze & Feng, Runhuan & Li, Hong & Yang, Tianyu, 2024. "Coping with longevity via hedging: Fair dynamic valuation of variable annuities," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 154-169.
    18. Wong, Tat Wing & Chiu, Mei Choi & Wong, Hoi Ying, 2014. "Time-consistent mean–variance hedging of longevity risk: Effect of cointegration," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 56-67.
    19. Braun, Alexander, 2011. "Pricing catastrophe swaps: A contingent claims approach," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 520-536.
    20. Francesca Biagini & Yinglin Zhang, 2018. "Extended Reduced-Form Framework for Non-Life Insurance," Papers 1802.07741, arXiv.org, revised Jun 2022.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bie:wpaper:616. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bettina Weingarten (email available below). General contact details of provider: https://edirc.repec.org/data/imbiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.