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CDO and HAC

  • Barbara ChoroÅ›
  • Wolfgang Härdle
  • Ostap Okhrin

Modelling portfolio credit risk is one of the crucial challenges faced by financial services industry in the last few years. We propose the valuation model of collateralized debt obligations (CDO) based on copula functions with up to three parameters, with default intensities estimated from market data and with a random loss given default that is correlated with default times. The methods presented are used to reproduce the spreads of the iTraxx Europe tranches. We apply hierarchical Archimedean copulae (HAC) whose construction allows for the fact that the risky assets of the CDO pool are chosen from six different industry sectors. The dependence among the assets from the same group is specified with the higher value of the copula parameter, otherwise the lower value of the parameter is ascribed. The copula with two and three parameters models the relation between the loss given default and the default times. Our approach describes the market prices better than the standard pricing procedure based on the Gaussian distribution.

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File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2009-038.pdf
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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2009-038.

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Length: 40 pages
Date of creation: Jul 2009
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2009-038
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  1. Katja Hanewald, 2009. "Mortality modeling: Lee-Carter and the macroeconomy," SFB 649 Discussion Papers SFB649DP2009-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  2. Michael C. Burda & Battista Severgnini, 2009. "TFP Growth in Old and New Europe," SFB 649 Discussion Papers SFB649DP2009-033, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  3. Katja Hanewald & Thomas Post & Helmut Gründl, 2009. "Stochastic Mortality, Macroeconomic Risks, and Life Insurer Solvency," SFB 649 Discussion Papers SFB649DP2009-015, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  4. Wolfgang Härdle & Ostap Okhrin, 2009. "De copulis non est disputandum - Copulae: An Overview," SFB 649 Discussion Papers SFB649DP2009-031, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  5. Ulrike Busch & Dieter Nautz, 2010. "Controllability and Persistence of Money Market Rates along the Yield Curve: Evidence from the Euro Area," German Economic Review, Verein für Socialpolitik, vol. 11, pages 367-380, 08.
  6. Joanne Ho & Martin Odening, 2009. "Weather-based estimation of wildfire risk," SFB 649 Discussion Papers SFB649DP2009-032, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  7. Stephanie Kremer & Alexander Bick & Dieter Nautz, 2009. "Inflation and Growth: New Evidence From a Dynamic Panel Threshold Analysis," SFB 649 Discussion Papers SFB649DP2009-036, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  8. Barbara Choroś & Wolfgang Härdle & Ostap Okhrin, 2009. "CDO and HAC," SFB 649 Discussion Papers SFB649DP2009-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  9. Wolfgang Härdle & Alena Mysickova, 2009. "Stochastic Population Forecast for Germany and its Consequence for the German Pension System," SFB 649 Discussion Papers SFB649DP2009-009, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  10. Denis Belomestny, 2009. "Spectral estimation of the fractional order of a Lévy process," SFB 649 Discussion Papers SFB649DP2009-021, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  11. Susanne Prantl & Alexandra Spitz-Oener, 2009. "How does entry regulation influence entry into self-employment and occupational mobility?," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 17(4), pages 769-802, October.
  12. Daniëls, Tijmen R. & Jager, Henk & Klaassen, Franc, 2011. "Currency crises with the threat of an interest rate defence," Journal of International Economics, Elsevier, vol. 85(1), pages 14-24, September.
  13. Bernd Droge & Deniz Dilan Karaman Örsal, 2009. "Panel Cointegration Testing in the Presence of a Time Trend," SFB 649 Discussion Papers SFB649DP2009-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  14. Ji Cao & Wolfgang Härdle & Julius Mungo, 2009. "A Joint Analysis of the KOSPI 200 Option and ODAX Option Markets Dynamics," SFB 649 Discussion Papers SFB649DP2009-019, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  15. Xu, Wei & Filler, Gunther & Odening, Martin & Okhrin, Ostap, 2009. "On the Systemic Nature of Weather Risk," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49131, Agricultural and Applied Economics Association.
  16. Meller, Barbara & Nautz, Dieter, 2009. "The impact of the European Monetary Union on inflation persistence in the euro area," Discussion Papers 2009/8, Free University Berlin, School of Business & Economics.
  17. Roland Strausz, 2009. "Regulatory Risk under Optimal Incentive Regulation," CESifo Working Paper Series 2638, CESifo Group Munich.
  18. Edward I. Altman & Brooks Brady & Andrea Resti & Andrea Sironi, 2005. "The Link between Default and Recovery Rates: Theory, Empirical Evidence, and Implications," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2203-2228, November.
  19. Alessandra Amendola & Giuseppe Storti, 2009. "Combination of multivariate volatility forecasts," SFB 649 Discussion Papers SFB649DP2009-007, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  20. Ostap Okhrin & Yarema Okhrin & Wolfgang Schmid, 2009. "Properties of Hierarchical Archimedean Copulas," SFB 649 Discussion Papers SFB649DP2009-014, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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