IDEAS home Printed from https://ideas.repec.org/a/cup/astinb/v40y2010i02p415-451_00.html
   My bibliography  Save this article

Cost-of-Capital Margin for a General Insurance Liability Runoff

Author

Listed:
  • Salzmann, Robert
  • Wüthrich, Mario V.

Abstract

Under new solvency regulations, general insurance companies need to calculate a risk margin to cover possible shortfalls in their liability runoff. A popular approach for the calculation of the risk margin is the so-called cost-of-capital approach. A comprehensive cost-of-capital approach involves the consideration of multiperiod risk measures. Because multiperiod risk measures are rather complex mathematical objects, various proxies are used to estimate this risk margin. Of course, the use of proxies and the study of their quality raises many questions, see IAA position paper [8]. In the present paper we provide a first discourse on multiperiod solvency considerations for a general insurance liability runoff. Within a chain ladder framework, we derive analytic formulas for the risk margin which allow to compare the comprehensive approach to the different proxies used in practice. Moreover, a case study investigates and answers questions raised in [8].

Suggested Citation

  • Salzmann, Robert & Wüthrich, Mario V., 2010. "Cost-of-Capital Margin for a General Insurance Liability Runoff," ASTIN Bulletin, Cambridge University Press, vol. 40(2), pages 415-451, November.
    • Handle: RePEc:cup:astinb:v:40:y:2010:i:02:p:415-451_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S0515036100000544/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Mathias Lindholm & Filip Lindskog & Felix Wahl, 2017. "Valuation of Non-Life Liabilities from Claims Triangles," Risks, MDPI, vol. 5(3), pages 1-28, July.
    2. Hampus Engsner & Mathias Lindholm & Filip Lindskog, 2016. "Insurance valuation: a computable multi-period cost-of-capital approach," Papers 1607.04100, arXiv.org.
    3. Claudio Albanese & Simone Caenazzo & St'ephane Cr'epey, 2016. "Capital Valuation Adjustment and Funding Valuation Adjustment," Papers 1603.03012, arXiv.org.
    4. Nils Engler & Filip Lindskog, 2023. "Approximations of multi-period liability values by simple formulas," Papers 2301.09450, arXiv.org.
    5. Robert, Christian Y., 2013. "Market Value Margin calculations under the Cost of Capital approach within a Bayesian chain ladder framework," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 216-229.
    6. Wüthrich Mario V. & Embrechts Paul & Tsanakas Andreas, 2011. "Risk margin for a non-life insurance run-off," Statistics & Risk Modeling, De Gruyter, vol. 28(4), pages 299-317, December.
    7. Engsner, Hampus & Lindholm, Mathias & Lindskog, Filip, 2017. "Insurance valuation: A computable multi-period cost-of-capital approach," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 250-264.

    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:cup:astinb:v:40:y:2010:i:02:p:415-451_00. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/asb .

    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.