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Hedging Of Synthetic Cdo Tranches With Spread And Default Risk Based On A Combined Forecasting Approach

Author

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  • WEN-QIONG LIU

    (School of Business, Huzhou University, Huzhou 313000, P. R. China)

  • WEN-LI HUANG

    (China Academy of Financial Research, Zhejiang University of Finance and Economics, Hangzhou 310018, P. R. China)

Abstract

Hedging of credit derivatives, especially the Collateralized Debt Obligations (CDOs), is the prerequisite of risk management in financial market. Since both spread risk and default risk exist, the models in existing literature resort to the incomplete-market theory to derive the hedging strategies. From another point of view, the construction of hedging strategies of CDO might be regarded as the process of forecasting the changes in value of CDO by the changes in value of hedging instruments. Based on this idea, this paper proposes an alternative hedging approach via the combined forecasting and regression techniques, where the two individual forecasting models are Gaussian copula model and local intensity model, used to hedge against spread risk and default risk, respectively. Finally, the dynamic hedge ratios of CDO tranches with CDS index are derived. A numerical analysis is carried out and the hedge ratios obtained by the new models are compared with those from actual market spreads. It is shown that the model derived in this paper not only provides hedging strategies which agree with the market hedge ratios but that can be effectively implemented as well.

Suggested Citation

  • 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.
  • Handle: RePEc:wsi:ijtafx:v:22:y:2019:i:02:n:s0219024918500577
    DOI: 10.1142/S0219024918500577
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    References listed on IDEAS

    as
    1. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    2. Rama Cont & Yu Hang Kan, 2011. "Dynamic hedging of portfolio credit derivatives," Post-Print hal-00578008, HAL.
    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. 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.
    5. Marek Rutkowski & Khan Yousiph, 2007. "Pde Approach To The Valuation And Hedging Of Basket Credit Derivatives," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(08), pages 1261-1285.
    6. Rüdiger Frey & Jochen Backhaus, 2008. "Pricing And Hedging Of Portfolio Credit Derivatives With Interacting Default Intensities," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 611-634.
    7. J.-P. Laurent & A. Cousin & J.-D. Fermanian, 2011. "Hedging default risks of CDOs in Markovian contagion models," Quantitative Finance, Taylor & Francis Journals, vol. 11(12), pages 1773-1791.
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