IDEAS home Printed from https://ideas.repec.org/p/chf/rpseri/rp0707.html
   My bibliography  Save this paper

Background Filtrations andCanonical Loss Processes for Top-Down Models of Portfolio Credit Risk

Author

Listed:
  • Philippe Ehlers

    (ETH Zurich, D-MATH)

  • Philipp J. Schoenbucher

    (ETH Zurich, D-MATH)

Abstract

In single-obligor default risk modelling, using a background filtration in conjunction with a suitable embedding hypothesis (generally known as H-hypothesis or immersion property) has proven a very successful tool to separate the actual default event from the model for the default arrival intensity. In this paper we analyze the conditions under which this approach can be extended to the situation of a portfolio of several obligors, with a particular focus on the so-called top-down approach. We introduce the natural H-hypothesis of this setup (the successive H-hypothesis) and show that it is equivalent to a seemingly weaker one-step H-hypothesis. Furthermore, we provide a canonical construction of a loss process in this setup and provide closed-form solutions for some generic pricing problems.

Suggested Citation

  • Philippe Ehlers & Philipp J. Schoenbucher, 2006. "Background Filtrations andCanonical Loss Processes for Top-Down Models of Portfolio Credit Risk," Swiss Finance Institute Research Paper Series 07-07, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp0707
    as

    Download full text from publisher

    File URL: http://papers.ssrn.com/sol3/papers.cfm?abstract_id=985252
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305 World Scientific Publishing Co. Pte. Ltd..
    2. R. J. Elliott & M. Jeanblanc & M. Yor, 2000. "On Models of Default Risk," Mathematical Finance, Wiley Blackwell, vol. 10(2), pages 179-195.
    3. Sanjiv R. Das & Darrell Duffie & Nikunj Kapadia & Leandro Saita, 2007. "Common Failings: How Corporate Defaults Are Correlated," Journal of Finance, American Finance Association, vol. 62(1), pages 93-117, February.
    4. Christophette Blanchet-Scalliet & Monique Jeanblanc, 2004. "Hazard rate for credit risk and hedging defaultable contingent claims," Finance and Stochastics, Springer, vol. 8(1), pages 145-159, January.
    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. Ying Jiao, 2009. "Multiple defaults and contagion risks," Papers 0912.3132, arXiv.org.
    2. repec:wsi:ijtafx:v:11:y:2008:i:02:n:s0219024908004762 is not listed on IDEAS
    3. repec:eee:spapps:v:127:y:2017:i:12:p:3943-3965 is not listed on IDEAS
    4. Ernst Eberlein & Zorana Grbac & Thorsten Schmidt, 2010. "Discrete tenor models for credit risky portfolios driven by time-inhomogeneous L\'evy processes," Papers 1006.2012, arXiv.org, revised Apr 2013.
    5. Nicole El Karoui & Monique Jeanblanc & Ying Jiao, 2013. "Density approach in modelling multi-defaults," Working Papers hal-00870492, HAL.
    6. Ying Jiao, 2009. "Multiple defaults and contagion risks," Working Papers hal-00441500, HAL.

    More about this item

    Keywords

    credit risk; default correlation; point processes; generalized Cox processes; hypothesis H;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:chf:rpseri:rp0707. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ridima Mittal). General contact details of provider: http://edirc.repec.org/data/fameech.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.