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Dynamic hedging of synthetic CDO tranches with spread risk and default contagion

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  • Frey, Rüdiger
  • Backhaus, Jochen

Abstract

The paper is concerned with the hedging of credit derivatives, in particular synthetic CDO tranches, in a dynamic portfolio credit risk model with spread risk and default contagion. The model is constructed and studied via Markov-chain techniques. We discuss the immunization of a CDO tranche against spread- and event risk in the Markov-chain model and compare the results with market-standard hedge ratios obtained in a Gauss copula model. In the main part of the paper we derive model-based dynamic hedging strategies and study their properties in numerical experiments.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:710-724
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    References listed on IDEAS

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    2. Colwell, David & El-Hassan, Nadima & Kang Kwon, Oh, 2007. "Hedging diffusion processes by local risk minimization with applications to index tracking," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2135-2151, July.
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    Citations

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    Cited by:

    1. Wenqiong, Liu & Li, Shenghong, 2016. "Hedging default risks of CDO tranches in non-homogeneous Markovian contagion models," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 279-291.
    2. Wen-Qiong Liu & Wen-Li Huang, 2019. "Hedging Of Synthetic Cdo Tranches With Spread And Default Risk Based On A Combined Forecasting Approach," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 1-17, March.
    3. S. Heise & R. Kühn, 2012. "Derivatives and credit contagion in interconnected networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(4), pages 1-19, April.
    4. Herbertsson, Alexander, 2022. "Saddlepoint approximations for credit portfolios with stochastic recoveries," Working Papers in Economics 823, University of Gothenburg, Department of Economics.
    5. Lijun Bo & Agostino Capponi & Claudia Ceci, 2017. "Risk-Minimizing Hedging of Counterparty Risk," Papers 1709.01115, arXiv.org.
    6. Herbertsson, Alexander, 2023. "Saddlepoint approximations for credit portfolio distributions with applications in equity risk management," Working Papers in Economics 839, University of Gothenburg, Department of Economics.
    7. Nicole El Karoui & Monique Jeanblanc & Ying Jiao, 2015. "Density approach in modelling successive defaults," Post-Print hal-00870492, HAL.
    8. Nicole El Karoui & Monique Jeanblanc & Ying Jiao, 2013. "Density approach in modelling multi-defaults," Working Papers hal-00870492, HAL.
    9. Conghui Hu & Xun Zhang & Qiuming Gao, 2015. "Synthetic CDO pricing: the perspective of risk integration," Applied Economics, Taylor & Francis Journals, vol. 47(15), pages 1574-1587, March.
    10. Areski Cousin & Stéphane Crépey & Yu Kan, 2012. "Delta-hedging correlation risk?," Review of Derivatives Research, Springer, vol. 15(1), pages 25-56, April.
    11. Rüdiger Frey & Wolfgang Runggaldier, 2010. "Pricing credit derivatives under incomplete information: a nonlinear-filtering approach," Finance and Stochastics, Springer, vol. 14(4), pages 495-526, December.
    12. Delia Coculescu & Gabriele Visentin, 2017. "A default system with overspilling contagion," Papers 1709.09255, arXiv.org, revised May 2023.
    13. Herbertsson, Alexander, 2023. "Risk management of stock portfolios with jumps at exogenous default events," Working Papers in Economics 836, University of Gothenburg, Department of Economics.
    14. Bielecki, Tomasz R. & Cousin, Areski & Crépey, Stéphane & Herbertsson, Alexander, 2011. "Dynamic Hedging of Portfolio Credit Risk in a Markov Copula Model (Previous title: Dynamic Modeling of Portfolio Credit Risk with Common Shocks)," Working Papers in Economics 502, University of Gothenburg, Department of Economics, revised 12 Oct 2012.
    15. Zehra Eksi & Damir Filipovi'c, 2020. "Affine Pricing and Hedging of Collateralized Debt Obligations," Papers 2011.10101, arXiv.org.
    16. Rüdiger Frey & Thorsten Schmidt, 2012. "Pricing and hedging of credit derivatives via the innovations approach to nonlinear filtering," Finance and Stochastics, Springer, vol. 16(1), pages 105-133, January.
    17. Rama Cont & Yu Hang Kan, 2011. "Dynamic hedging of portfolio credit derivatives," Post-Print hal-00578008, HAL.

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