IDEAS home Printed from https://ideas.repec.org/a/bla/jrinsu/v73y2006i4p719-736.html

Multivariate Exponential Tilting and Pricing Implications for Mortality Securitization

Author

Listed:
  • Samuel H. Cox
  • Yijia Lin
  • Shaun Wang

Abstract

Normalized exponential tilting is an extension of classical theories, including the Capital Asset Pricing Model (CAPM) and the Black–Merton–Scholes model, to price risks with general‐shaped distributions. The need for changing multivariate probability measures arises in pricing contingent claims on multiple underlying assets or liabilities. In this article, we apply it to valuation of mortality‐based securities written on mortality indices of several countries. We show how to use multivariate exponential tilting to price the first pure mortality security, the Swiss Re bond. The same technique can be applied in other mortality securitization pricing.

Suggested Citation

  • Samuel H. Cox & Yijia Lin & Shaun Wang, 2006. "Multivariate Exponential Tilting and Pricing Implications for Mortality Securitization," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 719-736, December.
    • Handle: RePEc:bla:jrinsu:v:73:y:2006:i:4:p:719-736
    DOI: 10.1111/j.1539-6975.2006.00196.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1539-6975.2006.00196.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1539-6975.2006.00196.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. Minton, Bernadette & Sanders, Anthony & Strahan, Philip E., 2004. "Securitization by Banks and Finance Companies: Efficient Financial Contracting or Regulatory Arbitrage?," Working Paper Series 2004-25, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    2. Vivek J. Bantwal & Howard C. Kunreuther, 1999. "A Cat Bond Premium Puzzle?," Center for Financial Institutions Working Papers 99-26, Wharton School Center for Financial Institutions, University of Pennsylvania.
    3. Blake, D. & Cairns, A. J. G. & Dowd, K., 2006. "Living with Mortality: Longevity Bonds and Other Mortality-Linked Securities," British Actuarial Journal, Cambridge University Press, vol. 12(1), pages 153-197, March.
    Full references (including those not matched with items on IDEAS)

    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. Lin, Yijia & Cox, Samuel H., 2008. "Securitization of catastrophe mortality risks," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 628-637, April.
    2. Bravo, Jorge Miguel & El Mekkaoui de Freitas, Najat, 2018. "Valuation of longevity-linked life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 212-229.
    3. 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.
    4. Mathieu Gatumel & Dominique Guegan, 2008. "Towards an understanding approach of the insurance linked securities market," Post-Print halshs-00235354, HAL.
    5. Battaglia, Francesca & Buchanan, Bonnie G. & Fiordelisi, Franco & Ricci, Ornella, 2021. "Securitization and crash risk: Evidence from large European banks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 72(C).
    6. Gorton, Gary & Metrick, Andrew, 2013. "Securitization," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1-70, Elsevier.
    7. Yang, Sharon S. & Wang, Chou-Wen, 2013. "Pricing and securitization of multi-country longevity risk with mortality dependence," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 157-169.
    8. Johnny Siu‐Hang Li & Andrew Cheuk‐Yin Ng, 2011. "Canonical Valuation of Mortality‐Linked Securities," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(4), pages 853-884, December.
    9. De Rosa, Clemente & Luciano, Elisa & Regis, Luca, 2021. "Geographical Diversification And Longevity Risk Mitigation In Annuity Portfolios," ASTIN Bulletin, Cambridge University Press, vol. 51(2), pages 375-410, May.
    10. Valipour Pasha, Mohammad & Khansari, Rasool & Ahmadian, Azam, 2021. "Can Securitization Enhance Financial Stability? (Case of the I.R. of Iran)," Journal of Money and Economy, Monetary and Banking Research Institute, Central Bank of the Islamic Republic of Iran, vol. 16(3), pages 323-347, September.
    11. Cardone-Riportella, Clara & Samaniego-Medina, Reyes & Trujillo-Ponce, Antonio, 2010. "What drives bank securitisation? The Spanish experience," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2639-2651, November.
    12. Wang, Ting & Young, Virginia R., 2016. "Hedging pure endowments with mortality derivatives," Insurance: Mathematics and Economics, Elsevier, vol. 69(C), pages 238-255.
    13. Kallestrup-Lamb, Malene & Søgaard Laursen, Nicolai, 2024. "Longevity hedge effectiveness using socioeconomic indices," Insurance: Mathematics and Economics, Elsevier, vol. 114(C), pages 242-251.
    14. Bonnie G. Buchanan, 2016. "Securitization: A Financing Vehicle for All Seasons?," Journal of Business Ethics, Springer, vol. 138(3), pages 559-577, October.
    15. Uhde, André, 2021. "Tax avoidance through securitization," The Quarterly Review of Economics and Finance, Elsevier, vol. 79(C), pages 411-421.
    16. Emilia Di Lorenzo & Marilena Sibillo, 2020. "Economic Paradigms and Corporate Culture after the Great COVID-19 Pandemic: Towards a New Role of Welfare Organisations and Insurers," Sustainability, MDPI, vol. 12(19), pages 1-14, October.
    17. John Krainer & Elizabeth Laderman, 2014. "Mortgage Loan Securitization and Relative Loan Performance," Journal of Financial Services Research, Springer;Western Finance Association, vol. 45(1), pages 39-66, February.
    18. Roman Inderst & Marco Ottaviani, 2009. "Misselling through Agents," American Economic Review, American Economic Association, vol. 99(3), pages 883-908, June.
    19. Buchanan, Bonnie G., 2016. "Securitization: a financing vehicle for all seasons?," Bank of Finland Research Discussion Papers 31/2016, Bank of Finland.
    20. Ting Wang & Virginia R. Young, 2010. "Hedging Pure Endowments with Mortality Derivatives," Papers 1011.0248, arXiv.org.

    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:4:p:719-736. 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.