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Enhancing credit default swap valuation with meshfree methods

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  • Guarin, Alexander
  • Liu, Xiaoquan
  • Ng, Wing Lon

Abstract

In this paper, we apply the meshfree radial basis function (RBF) interpolation to numerically approximate zero-coupon bond prices and survival probabilities in order to price credit default swap (CDS) contracts. We assume that the interest rate follows a Cox-Ingersoll-Ross process while the default intensity is described by the Exponential-Vasicek model. Several numerical experiments are conducted to evaluate the approximations by the RBF interpolation for one- and two-factor models. The results are compared with those estimated by the finite difference method (FDM). We find that the RBF interpolation achieves more accurate and computationally efficient results than the FDM. Our results also suggest that the correlation between factors does not have a significant impact on CDS spreads.

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  • Guarin, Alexander & Liu, Xiaoquan & Ng, Wing Lon, 2011. "Enhancing credit default swap valuation with meshfree methods," European Journal of Operational Research, Elsevier, vol. 214(3), pages 805-813, November.
    • Handle: RePEc:eee:ejores:v:214:y:2011:i:3:p:805-813
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    1. Frank X. Zhang, 2003. "What did the credit market expect of Argentina default? Evidence from default swap data," Finance and Economics Discussion Series 2003-25, Board of Governors of the Federal Reserve System (U.S.).
    2. Jobst, Norbert J. & Zenios, Stavros A., 2005. "On the simulation of portfolios of interest rate and credit risk sensitive securities," European Journal of Operational Research, Elsevier, vol. 161(2), pages 298-324, March.
    3. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    4. Kris Jacobs & Xiaofei Li, 2008. "Modeling the Dynamics of Credit Spreads with Stochastic Volatility," Management Science, INFORMS, vol. 54(6), pages 1176-1188, June.
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    7. Gurdip Bakshi & Dilip Madan & Frank Xiaoling Zhang, 2006. "Investigating the Role of Systematic and Firm-Specific Factors in Default Risk: Lessons from Empirically Evaluating Credit Risk Models," The Journal of Business, University of Chicago Press, vol. 79(4), pages 1955-1988, July.
    8. Jun Pan & Kenneth J. Singleton, 2008. "Default and Recovery Implicit in the Term Structure of Sovereign CDS Spreads," Journal of Finance, American Finance Association, vol. 63(5), pages 2345-2384, October.
    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 449-470, May.
    10. Onorato, Mario & Altman, Edward I., 2005. "An integrated pricing model for defaultable loans and bonds," European Journal of Operational Research, Elsevier, vol. 163(1), pages 65-82, May.
    11. Damiano Brigo & Aurélien Alfonsi, 2005. "Credit default swap calibration and derivatives pricing with the SSRD stochastic intensity model," Finance and Stochastics, Springer, vol. 9(1), pages 29-42, January.
    12. Yoichi Ueno & Naohiko Baba, 2006. "Default Intensity and Expected Recovery of Japanese Banks and "Government": New Evidence from the CDS Market," Bank of Japan Working Paper Series 06-E-4, Bank of Japan.
    13. Giesecke, Kay, 2006. "Default and information," Journal of Economic Dynamics and Control, Elsevier, vol. 30(11), pages 2281-2303, November.
    14. Carr, Peter & Wu, Liuren, 2007. "Theory and evidence on the dynamic interactions between sovereign credit default swaps and currency options," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2383-2403, August.
    15. Chen, Ren-Raw & Cheng, Xiaolin & Fabozzi, Frank J. & Liu, Bo, 2008. "An Explicit, Multi-Factor Credit Default Swap Pricing Model with Correlated Factors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(1), pages 123-160, March.
    16. Chen, Ren-Raw & Cheng, Xiaolin & Liu, Bo, 2008. "Estimation and evaluation of the term structure of credit default swaps: An empirical study," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 339-349, December.
    17. Kreinin, Alexander & Nagi, Ahmed, 2008. "Calibration of the default probability model," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1462-1476, March.
    18. Marco Realdon, 2007. "A Two Factor Black-Karasinski Credit Default Swap Pricing Model (forthcoming in the Icfai Journal of Derivatives Markets, Vol IV, No 4, October 2007; all copyrights rest with the Icfai University Pres," Discussion Papers 07/25, Department of Economics, University of York.
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    Cited by:

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    3. Alessandro Andreoli & Luca Vincenzo Ballestra & Graziella Pacelli, 2018. "Pricing Credit Default Swaps Under Multifactor Reduced-Form Models: A Differential Quadrature Approach," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 379-406, March.
    4. Mitra, Sovan & Date, Paresh & Mamon, Rogemar & Wang, I-Chieh, 2013. "Pricing and risk management of interest rate swaps," European Journal of Operational Research, Elsevier, vol. 228(1), pages 102-111.
    5. Weiwei Liu & Zhile Yang & Kexin Bi, 2017. "Forecasting the Acquisition of University Spin-Outs: An RBF Neural Network Approach," Complexity, Hindawi, vol. 2017, pages 1-8, October.
    6. Li, Shuling & Li, Xiaolin, 2016. "Radial basis functions and level set method for image segmentation using partial differential equation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 29-40.

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