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A note on the correlation smile

Author

Listed:
  • Hager, Svenja
  • Schöbel, Rainer

Abstract

The correct modeling of default dependence is essential for the valuation of multiname credit derivatives. However for the pricing of synthetic CDOs a one-factor Gaussian copula model with constant and equal pairwise correlations, default intensities and recovery rates for all assets in the reference portfolio has become the standard market model. If this model were a reflection of market opinion there wouldn't be the implied correlation smile that is observed in the market. The purpose of this paper is to explain the structure of the smile by discussing the influence of different correlation matrices on CDO spreads.

Suggested Citation

  • Hager, Svenja & Schöbel, Rainer, 2005. "A note on the correlation smile," Tübinger Diskussionsbeiträge 297, University of Tübingen, School of Business and Economics.
    • Handle: RePEc:zbw:tuedps:297
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    Citations

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    Cited by:

    1. Hager, Svenja & Schöbel, Rainer, 2006. "Deriving the dependence structure of portfolio credit derivatives using evolutionary algorithms," Tübinger Diskussionsbeiträge 300, University of Tübingen, School of Business and Economics.
    2. Zaby, Alexandra K., 2009. "The propensity to patent in oligopolistic markets," Tübinger Diskussionsbeiträge 323, University of Tübingen, School of Business and Economics.
    3. Felbermayr, Gabriel J. & Toubal, Farid, 2010. "Cultural proximity and trade," European Economic Review, Elsevier, vol. 54(2), pages 279-293, February.
    4. Frontczak, Robert & Schöbel, Rainer, 2008. "Pricing American options with Mellin transforms," Tübinger Diskussionsbeiträge 319, University of Tübingen, School of Business and Economics.
    5. Dymke, Björn M. & Walter, Andreas, 2006. "Insider trading in Germany: Do corporate insiders exploit inside information?," Tübinger Diskussionsbeiträge 309, University of Tübingen, School of Business and Economics.
    6. Rostek, Stefan & Schöbel, Rainer, 2006. "Risk preference based option pricing in a fractional Brownian market," Tübinger Diskussionsbeiträge 299, University of Tübingen, School of Business and Economics.
    7. Brandes, Julia & Schüle, Tobias, 2007. "IMF's assistance: Devil's kiss or guardian angel?," Tübinger Diskussionsbeiträge 310, University of Tübingen, School of Business and Economics.
    8. Balakrishna, B S, 2006. "A Semi-Analytical Parametric Model for Dependent Defaults," MPRA Paper 14918, University Library of Munich, Germany, revised 15 May 2007.
    9. Heger, Diana & Zaby, Alexandra K., 2009. "The propensity to patent with horizontally differentiated products: An empirical investigation," Tübinger Diskussionsbeiträge 324, University of Tübingen, School of Business and Economics.
    10. Frontczak, Robert & Schöbel, Rainer, 2009. "On modified Mellin transforms, Gauss-Laguerre quadrature, and the valuation of American call options," Tübinger Diskussionsbeiträge 320, University of Tübingen, School of Business and Economics.
    11. Maier, Ramona & Merz, Michael, 2008. "Credibility theory and filter theory in discrete and continuous time," Tübinger Diskussionsbeiträge 318, University of Tübingen, School of Business and Economics.
    12. Yalcin, Erdal, 2007. "The proximity-concentration trade-off in a dynamic framework," Tübinger Diskussionsbeiträge 312, University of Tübingen, School of Business and Economics.
    13. Heger, Diana & Zaby, Alexandra K., 2009. "The propensity to patent with vertically differentiated products: An empirical investigation," Tübinger Diskussionsbeiträge 325, University of Tübingen, School of Business and Economics.
    14. Schüle, Tobias, 2006. "Creditor coordination with social learning and endogenous timing of credit decisions," Tübinger Diskussionsbeiträge 307, University of Tübingen, School of Business and Economics.
    15. Frontczak, Robert, 2009. "Valuing options in Heston's stochastic volatility model: Another analytical approach," Tübinger Diskussionsbeiträge 326, University of Tübingen, School of Business and Economics.

    More about this item

    Keywords

    default risk; CDOs; implied correlation smile; correlation matrx; heterogeneity;
    All these keywords.

    JEL classification:

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

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