Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2011 (2011), Article ID 158020, 20 pages.
Credit Risky Securities Valuation under a Contagion Model with Interacting Intensities
We study a three-firm contagion model with counterparty risk and apply this model to price defaultable bonds and credit default swap (CDS). This model assumes that default intensities are driven by external common factors as well as other defaults in the system. Using the “total hazard” approach, default times can be generated and the joint density function is obtained. We represent the pricing method of defaultable bonds and obtain the closed-form pricing formulas. By the approach of “change of measure,” analytical solutions of CDS swap rate (swap premuim) are derived in the continuous time framework and the discrete time framework, respectively.
J. Appl. Math., Volume 2011 (2011), Article ID 158020, 20 pages.
First available in Project Euclid: 15 March 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Wang, Anjiao; Ye, Zhongxing. Credit Risky Securities Valuation under a Contagion Model with Interacting Intensities. J. Appl. Math. 2011 (2011), Article ID 158020, 20 pages. doi:10.1155/2011/158020. https://projecteuclid.org/euclid.jam/1331818626