Skip to main content
Log in

Pricing credit default swap with contagious risk and simulation

  • Published:
Journal of Shanghai Jiaotong University (Science) Aims and scope Submit manuscript

Abstract

This paper mainly studies the pricing of credit default swap (CDS) with the loan as the reference asset, and gives a model based on the obtained conclusions. In the contract of CDS, we consider that the default of the protection’s seller is correlated with the stochastic interest rate following Vasicek model and the default state of the reference firm. We give the pricing formula of CDS and analyze the effect of the contagious risk between the counterparties on the pricing of CDS.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. BLACK F, SCHOLES M. The pricing of options and corporate liabilities [J]. Journal of Political Economy, 1973, 81(3): 637–654.

    Article  MATH  Google Scholar 

  2. MERTON R C. On the pricing of corporate debt: The risk structure of interest rates [J]. Journal of Finance, 1974, 29: 449–470.

    Google Scholar 

  3. DUFFIE D, SINGLETON K J. Modeling term structures of defaultable bonds [R]. Stanford, California: Stanford University Business School, 1995.

    Google Scholar 

  4. JARROW R A, LNADO D, TURNBULL S M. A markov model for the term structure of credit risk spreads [J]. The Review of Financial Studies, 1997, 10(2): 481–523.

    Article  Google Scholar 

  5. JARROW R A, TURNBULL S M. Pricing derivatives on financial securities subject to credit risk [J]. Journal of Finance, 1995, 50(1): 53–85.

    Article  Google Scholar 

  6. DAVIS M, LO V. Infectious defaults [J]. Quantitative Finance, 2001, 1(4): 382–387.

    Article  Google Scholar 

  7. JARROW R A, YU F. Counterparty risk and the pricing of defaultable securities [J]. Journal of Finance, 2001, 56(5): 1765–1799.

    Article  Google Scholar 

  8. BAI Y F, HU X H, YE Z X. A model for dependent default with hyperbolic attenuation effect and valuation of credit default swap [J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(12): 1643–1649.

    Article  MathSciNet  MATH  Google Scholar 

  9. HAO R L, YE Z X. The intensity model for pricing credit securities with jump-diffusion and counterparty risk [J]. Mathematical Problems in Engineering, 2011, 2011: 412565. 1–16.

    Article  MathSciNet  Google Scholar 

  10. HAO R L, LIU Y H, WANG S B. Pricing credit default swap under fractional Vasicek interest rate model [J]. Journal of Mathematical Finance, 2014, 4: 10–20.

    Article  Google Scholar 

  11. HOWARD S, SHUNICHIRO U, ZHEN W. Valuation of loan CDS and CDX [EB/OL]. [2015-08-04]. http://ssrn.com/abstract=1008201.

  12. ZHEN W. Valuation of loan CDS under intensity based model [R]. Palo Alto: Stanford University, 2007.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ruili Hao  (郝瑞丽).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 11271259), the China Postdoctoral Science Foundation (No. 2014M551297), the Innovation Program of Shanghai Municipal Education Commission (No. 13YZ125) and the Funding Scheme for Training Young Teachers in Shanghai Colleges (No. ZZshjr12010)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hao, R., Zhang, J., Liu, Y. et al. Pricing credit default swap with contagious risk and simulation. J. Shanghai Jiaotong Univ. (Sci.) 21, 57–62 (2016). https://doi.org/10.1007/s12204-016-1699-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12204-016-1699-y

Keywords

CLC number

Navigation