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Analytical methods for hedging systematic credit risk with linear factor portfolios

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  • Rosen, Dan
  • Saunders, David
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    Abstract

    Multi-factor credit portfolio models are used widely today for managing economic capital and pricing collateralized debt obligations (CDOs) and asset-backed securities. Commonly, practitioners allocate capital to the portfolio components (sub-portfolios, counterparties, or transactions). The hedging of credit risk is generally also focused on the 'deltas' of underlying names. We present analytical results for hedging portfolio credit risk with linear combinations of systematic factors, based on the minimization of systematic variance of portfolio losses. We solve these problems within a multi-factor Merton-type credit portfolio model, and apply them to hedge systematic credit default losses of loan portfolios and CDOs.

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 33 (2009)
    Issue (Month): 1 (January)
    Pages: 37-52

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    Handle: RePEc:eee:dyncon:v:33:y:2009:i:1:p:37-52

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    Web page: http://www.elsevier.com/locate/jedc

    Related research

    Keywords: Credit risk Factor models Hedging Capital allocation;

    References

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    1. Christian Gourieroux & J. P. Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Econometric Society World Congress 2000 Contributed Papers 0162, Econometric Society.
    2. Kreinin, Alexander & Nagi, Ahmed, 2008. "Calibration of the default probability model," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1462-1476, March.
    3. Dirk Tasche, 2001. "Conditional Expectation as Quantile Derivative," Papers math/0104190, arXiv.org.
    4. Tasche, Dirk, 2002. "Expected shortfall and beyond," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1519-1533, July.
    5. Gordy, Michael B., 2003. "A risk-factor model foundation for ratings-based bank capital rules," Journal of Financial Intermediation, Elsevier, vol. 12(3), pages 199-232, July.
    6. Christian Gourieroux & Jean-Paul Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Working Papers 2000-05, Centre de Recherche en Economie et Statistique.
    7. M. Davis & V. Lo, 2001. "Infectious defaults," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 382-387.
    8. Sanjiv Das & Darrell Duffie & Nikunj Kapadia & Leandro Saita, 2006. "Common Failings: How Corporate Defaults are Correlated," NBER Working Papers 11961, National Bureau of Economic Research, Inc.
    9. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-70, May.
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    Cited by:
    1. Lindset, Snorre & Lund, Arne-Christian & Persson, Svein-Arne, 2014. "Credit risk and asymmetric information: A simplified approach," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 98-112.
    2. Alexander Cherny & Raphael Douady & Stanislav Molchanov, 2010. "On measuring nonlinear risk with scarce observations," Finance and Stochastics, Springer, vol. 14(3), pages 375-395, September.
    3. Frey, Rüdiger & Backhaus, Jochen, 2010. "Dynamic hedging of synthetic CDO tranches with spread risk and default contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 710-724, April.
    4. Rosen, Dan & Saunders, David, 2010. "Risk factor contributions in portfolio credit risk models," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 336-349, February.
    5. Lee, Yongwoong & Poon, Ser-Huang, 2014. "Forecasting and decomposition of portfolio credit risk using macroeconomic and frailty factors," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 69-92.
    6. Damiano Brigo & Andrea Pallavicini & Roberto Torresetti, 2009. "Credit models and the crisis, or: how I learned to stop worrying and love the CDOs," Papers 0912.5427, arXiv.org, revised Feb 2010.

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