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CDO and HAC

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Author Info

  • Barbara Choroś
  • Wolfgang Härdle
  • Ostap Okhrin

Abstract

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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Bibliographic Info

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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Related research

Keywords: CDO; CDS; multivariate distributions; Copulae; correlation smile; loss given default;

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References

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  1. Roland Strausz, 2009. "Regulatory Risk under Optimal Incentive Regulation," CESifo Working Paper Series 2638, CESifo Group Munich.
  2. 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.
  3. Alessandra Amendola & Giuseppe Storti, 2009. "Combination of multivariate volatility forecasts," SFB 649 Discussion Papers SFB649DP2009-007, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  4. 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.
  5. Susanne Prantl & Alexandra Spitz-Oener, 2009. "How does entry regulation influence entry into self-employment and occupational mobility?," IFS Working Papers W09/14, Institute for Fiscal Studies.
  6. 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.
  7. Karaman Örsal, Deniz Dilan & Droge, Bernd, 2014. "Panel cointegration testing in the presence of a time trend," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 377-390.
  8. 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.
  9. 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.
  10. Wei Xu & Guenther Filler & Martin Odening & Ostap Okhrin, 2010. "On the systemic nature of weather risk," Agricultural Finance Review, Emerald Group Publishing, vol. 70(2), pages 267-284, August.
  11. 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.
  12. Ostap Okhrin & Yarema Okhrin & Wolfgang Schmid, 2009. "Properties of Hierarchical Archimedean Copulas," SFB 649 Discussion Papers SFB649DP2009-014, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  13. 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.
  14. Joanne Ho & Martin Odening, 2009. "Weather-based estimation of wildfire risk," SFB 649 Discussion Papers SFB649DP2009-032, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  15. 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.
  16. Katja Hanewald & Thomas Post & Helmut Gr�ndl, 2011. "Stochastic Mortality, Macroeconomic Risks and Life Insurer Solvency," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan, vol. 36(3), pages 458-475, July.
  17. 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.
  18. Busch, Ulrike & Nautz, Dieter, 2009. "Controllability and persistence of money market rates along the yield curve: evidence from the euro area," Discussion Papers 2009/5, Free University Berlin, School of Business & Economics.
  19. 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.
  20. Barbara Choroś & Wolfgang Härdle & Ostap Okhrin, 2009. "CDO and HAC," SFB 649 Discussion Papers SFB649DP2009-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  21. Katja Hanewald, 2009. "Mortality modeling: Lee-Carter and the macroeconomy," SFB 649 Discussion Papers SFB649DP2009-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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Citations

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Cited by:
  1. Roland Strausz, 2010. "The Political Economy of Regulatory Risk," CESifo Working Paper Series 2953, CESifo Group Munich.
  2. Michal Grajek & Lars-Hendrik Röller, 2009. "Regulation and investment in network industries: Evidence from European telecoms," ESMT Research Working Papers ESMT-09-004, ESMT European School of Management and Technology.
  3. Barbara Choroś & Wolfgang Härdle & Ostap Okhrin, 2009. "CDO and HAC," SFB 649 Discussion Papers SFB649DP2009-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  4. Maria Grith & Wolfgang Härdle & Juhyun Park, 2009. "Shape invariant modelling pricing kernels and risk aversion," SFB 649 Discussion Papers SFB649DP2009-041, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

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