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CDO pricing with copulae

Author

Listed:
  • Choroś, Barbara
  • Härdle, Wolfgang Karl
  • Okhrin, Ostap

Abstract

Modeling the portfolio credit risk is one of the crucial issues of the last years in the financial problems. We propose the valuation model of Collateralized Debt Obligations based on a one- and two-parameter copula and default intensities estimated from market data. The presented method is used to reproduce the spreads of the iTraxx Europe tranches. The two-parameter model incorporates the fact that the risky assets of the CDO pool are chosen from six different industry sectors. The dependency among the assets from the same group is described with the higher value of the copula parameter, otherwise the lower value of the parameter is ascribed. Our approach outperforms the standard market pricing procedure based on the Gaussian distribution.

Suggested Citation

  • Choroś, Barbara & Härdle, Wolfgang Karl & Okhrin, Ostap, 2009. "CDO pricing with copulae," SFB 649 Discussion Papers 2009-013, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2009-013
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    References listed on IDEAS

    as
    1. Daniëls, Tijmen R. & Jager, Henk & Klaassen, Franc, 2009. "Defending against speculative attacks," SFB 649 Discussion Papers 2009-011, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    2. Tijmen R. Daniels & Henk Jager & Franc Klaassen, 2008. "Defending against Speculative Attacks," Tinbergen Institute Discussion Papers 08-090/2, Tinbergen Institute, revised 06 Apr 2009.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Strausz, Roland, 2009. "The political economy of regulatory risk," SFB 649 Discussion Papers 2009-040, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    2. Michał Grajek & Lars-Hendrik Röller, 2012. "Regulation and Investment in Network Industries: Evidence from European Telecoms," Journal of Law and Economics, University of Chicago Press, vol. 55(1), pages 189-216.
    3. Choroś, Barbara & Härdle, Wolfgang Karl & Okhrin, Ostap, 2009. "CDO and HAC," SFB 649 Discussion Papers 2009-038, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. repec:hum:wpaper:sfb649dp2009-040 is not listed on IDEAS
    5. Michał Grajek & Lars-Hendrik Röller, 2012. "Regulation and Investment in Network Industries: Evidence from European Telecoms," Journal of Law and Economics, University of Chicago Press, vol. 55(1), pages 189-216.
    6. repec:hum:wpaper:sfb649dp2009-041 is not listed on IDEAS
    7. Grith, Maria & Härdle, Wolfgang Karl & Park, Juhyun, 2009. "Shape invariant modelling pricing kernels and risk aversion," SFB 649 Discussion Papers 2009-041, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    8. repec:hum:wpaper:sfb649dp2009-038 is not listed on IDEAS

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    More about this item

    Keywords

    CDO; CDS; multifactor models; multivariate distributions; copulae; correlation smile;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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