IDEAS home Printed from https://ideas.repec.org/p/hhs/gunwpe/0359.html
   My bibliography  Save this paper

Pricing basket default swaps in a tractable shot-noise model

Author

Listed:
  • Herbertsson, Alexander

    () (Department of Economics, School of Business, Economics and Law, Göteborg University)

  • Jang, Jiwook

    () (Department of Actuarial Studies, Faculty of Business and Economics, Macquarie University)

  • Schmidt, Thorsten

    () (Department of Mathematics, University of Chemnitz)

Abstract

We value CDS spreads and kth-to-default swap spreads in a tractable shot noise model. The default dependence is modelled by letting the individual jumps of the default intensity be driven by a common latent factor. The arrival of the jumps is driven by a Poisson process. By using conditional independence and properties of the shot noise processes we derive tractable closed-form expressions for the default distribution and the ordered survival distributions in a homogeneous portfolio. These quantities are then used to price and study CDS spreads and kth-to-default swap spreads as function of the model parameters. We study the kth-to-default spreads as function of the CDS spread, as well as other parameters in the model. All calibrations lead to perfect fits.

Suggested Citation

  • Herbertsson, Alexander & Jang, Jiwook & Schmidt, Thorsten, 2009. "Pricing basket default swaps in a tractable shot-noise model," Working Papers in Economics 359, University of Gothenburg, Department of Economics.
  • Handle: RePEc:hhs:gunwpe:0359
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/2077/20198
    Download Restriction: no

    More about this item

    Keywords

    Credit risk; intensity-based models; dependence modelling; shot noise; CDS; kth-to-default swaps;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

    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:hhs:gunwpe:0359. 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: (Marie Andersson). General contact details of provider: http://edirc.repec.org/data/naiguse.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.

    We have no 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.

    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.