IDEAS home Printed from https://ideas.repec.org/a/bla/jrinsu/v73y2006i1p97-121.html
   My bibliography  Save this article

Guarantees in With‐Profit and Unitized With‐Profit Life Insurance Contracts: Fair Valuation Problem in Presence of the Default Option

Author

Listed:
  • Laura Ballotta
  • Steven Haberman
  • Nan Wang

Abstract

The purpose of the article is to apply contingent claim theory to the valuation of the type of participating life insurance policies commonly sold in the UK. The article extends the techniques developed by Haberman, Ballotta, and Wang (2003) to allow for the default option. The default option is a feature of the design of these policies, which recognizes that the insurance company's liability is limited by the market value of the reference portfolio of assets underlying the policies that have been sold. The valuation approach is based on the classical contingent claim pricing “machinery,” underpinned by Monte Carlo techniques for the computation of fair values. The article addresses in particular the issue of a fair contract design for a complex type of participating policy and analyzes in detail the feasible set of policy design parameters that would lead to a fair contract and the trade‐offs between these parameters.

Suggested Citation

  • Laura Ballotta & Steven Haberman & Nan Wang, 2006. "Guarantees in With‐Profit and Unitized With‐Profit Life Insurance Contracts: Fair Valuation Problem in Presence of the Default Option," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(1), pages 97-121, March.
    • Handle: RePEc:bla:jrinsu:v:73:y:2006:i:1:p:97-121
    DOI: 10.1111/j.1539-6975.2006.00167.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1539-6975.2006.00167.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1539-6975.2006.00167.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Maurer, Raimond H. & Schlag, Christian, 2002. "Money-back guarantees in individual pension accounts: Evidence from the German pension reform," CFS Working Paper Series 2002/03, Center for Financial Studies (CFS).
    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. Broeders, Dirk & Chen, An & Koos, Birgit, 2011. "A utility-based comparison of pension funds and life insurance companies under regulatory constraints," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 1-10, July.
    2. Vittas, Dimitri, 2011. "The mechanics and regulation of variable payout annuities," Policy Research Working Paper Series 5762, The World Bank.
    3. Zemp, Alexandra, 2011. "Risk comparison of different bonus distribution approaches in participating life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 49(2), pages 249-264, September.
    4. 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.
    5. Chi Chiu Chu & Yue Kuen Kwok, 2006. "Pricing Participating Policies With Rate Guarantees," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 517-532.
    6. Nordahl, Helge A., 2008. "Valuation of life insurance surrender and exchange options," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 909-919, June.
    7. Martin Eling & Dieter Kiesenbauer, 2012. "Does Surplus Participation Reflect Market Discipline? An Analysis of the German Life Insurance Market," Journal of Financial Services Research, Springer;Western Finance Association, vol. 42(3), pages 159-185, December.
    8. Gatzert, Nadine, 2008. "Asset management and surplus distribution strategies in life insurance: An examination with respect to risk pricing and risk measurement," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 839-849, April.
    9. Bernard, Carole & Boyle, Phelim P., 2011. "A Natural Hedge for Equity Indexed Annuities," Annals of Actuarial Science, Cambridge University Press, vol. 5(2), pages 211-230, September.
    10. Dirk Broeders & An Chen & David Rijsbergen, 2013. "Valuation of liabilities in hybrid pension plans," Applied Financial Economics, Taylor & Francis Journals, vol. 23(15), pages 1215-1229, August.
    11. Gerstner, Thomas & Griebel, Michael & Holtz, Markus, 2009. "Efficient deterministic numerical simulation of stochastic asset-liability management models in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 44(3), pages 434-446, June.
    12. Eckert, Johanna & Gatzert, Nadine & Martin, Michael, 2016. "Valuation and risk assessment of participating life insurance in the presence of credit risk," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 382-393.
    13. Bernard Carole & Le Courtois Olivier, 2012. "Asset Risk Management of Participating Contracts," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 6(2), pages 1-23, June.
    14. Dirk Broeders & An Chen & Birgit Koos, 2014. "Utility-equivalence of pension security mechanisms," DNB Working Papers 414, Netherlands Central Bank, Research Department.
    15. Ballotta, Laura, 2005. "A Lévy process-based framework for the fair valuation of participating life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 173-196, October.
    16. Bohnert, Alexander & Gatzert, Nadine, 2012. "Analyzing surplus appropriation schemes in participating life insurance from the insurer’s and the policyholder’s perspective," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 64-78.
    17. Schmeiser, H. & Wagner, J., 2011. "A joint valuation of premium payment and surrender options in participating life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 580-596.
    18. Floryszczak, Anthony & Le Courtois, Olivier & Majri, Mohamed, 2016. "Inside the Solvency 2 Black Box: Net Asset Values and Solvency Capital Requirements with a least-squares Monte-Carlo approach," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 15-26.
    19. Kassberger, Stefan & Kiesel, Rüdiger & Liebmann, Thomas, 2008. "Fair valuation of insurance contracts under Lévy process specifications," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 419-433, February.
    20. Gerstner, Thomas & Griebel, Michael & Holtz, Markus & Goschnick, Ralf & Haep, Marcus, 2008. "A general asset-liability management model for the efficient simulation of portfolios of life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 704-716, April.
    21. Laura Ballotta, 2009. "Pricing and capital requirements for with profit contracts: modelling considerations," Quantitative Finance, Taylor & Francis Journals, vol. 9(7), pages 803-817.
    22. Ballotta, Laura & Esposito, Giorgia & Haberman, Steven, 2006. "The IASB Insurance Project for life insurance contracts: Impact on reserving methods and solvency requirements," Insurance: Mathematics and Economics, Elsevier, vol. 39(3), pages 356-375, December.
    23. Nadine Gatzert & Hato Schmeiser, 2008. "Assessing the Risk Potential of Premium Payment Options in Participating Life Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(3), pages 691-712, September.

    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. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    2. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2005. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities," NBER Working Papers 11271, National Bureau of Economic Research, Inc.
    3. David McCarthy & Olivia S. Mitchell, 2004. "Annuities for an ageing world," Chapters, in: Elsa Fornero & Elisa Luciano (ed.), Developing an Annuity Market in Europe, chapter 2, pages 13-48, Edward Elgar Publishing.
    4. Olivia S. Mitchell & Alexander Muermann, 2003. "The Demand for Guarantees in Social Security Personal Retirement Accounts," Working Papers wp060, University of Michigan, Michigan Retirement Research Center.

    More about this item

    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:bla:jrinsu:v:73:y:2006:i:1:p:97-121. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/ariaaea.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.