IDEAS home Printed from https://ideas.repec.org/a/wly/jnlmpe/v2023y2023i1n8960259.html

Pricing of Basket CDS with Bilateral Default Risk under Vasicek Model with Circular Contagion

Author

Listed:
  • Qi Han
  • Meng Wang

Abstract

In this study, on the basis of basket CDS, we take into account the complex correlations among market participants and choose to use the contagion model to price basket CDS. This study assumes that a basket of reference assets is defaultable and that defaults between two counterparties are contagious. Without taking into account the default of the CDS buyer, we assume that both the interest rate and the default intensity of the reference assets follow the Vasicek model. We obtain the related probability density function by the PDE method. Under the no‐arbitrage principle, we set up several scenarios to get the basket CDS pricing formula. In the numerical analysis part, we verify the validity of the formula by Monte Carlo simulation, and discuss the influence of the main parameters on the formula.

Suggested Citation

  • Qi Han & Meng Wang, 2023. "Pricing of Basket CDS with Bilateral Default Risk under Vasicek Model with Circular Contagion," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:8960259
    DOI: 10.1155/2023/8960259
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2023/8960259
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/8960259?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Liang Wu & Jian-guo Sun & Xian-bin Mei, 2018. "Introducing Fuzziness in CDS Pricing under a Structural Model," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-7, May.
    2. 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..
    3. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiao, Tim, 2018. "The Valuation of Credit Default Swap with Counterparty Risk and Collateralization," EconStor Preprints 203447, ZBW - Leibniz Information Centre for Economics.
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Youngha Cho & Soosung Hwang & Steve Satchell, 2012. "The Optimal Mortgage Loan Portfolio in UK Regional Residential Real Estate," The Journal of Real Estate Finance and Economics, Springer, vol. 45(3), pages 645-677, October.
    4. 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.
    5. Xiao,Tim, 2018. "Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization," EconStor Preprints 202075, ZBW - Leibniz Information Centre for Economics.
    6. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    7. Chia-Chien Chang & Chou-Wen Wang & Szu-Lang Liao, 2009. "The valuation of special purpose vehicles by issuing structured credit-linked notes," Applied Financial Economics, Taylor & Francis Journals, vol. 19(3), pages 227-256.
    8. Giesecke, Kay & Weber, Stefan, 2006. "Credit contagion and aggregate losses," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 741-767, May.
    9. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    10. Nystrom, Kaj & Skoglund, Jimmy, 2006. "A credit risk model for large dimensional portfolios with application to economic capital," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2163-2197, August.
    11. White, Alan, 2018. "Pricing Credit Default Swap Subject to Counterparty Risk and Collateralization," MPRA Paper 85331, University Library of Munich, Germany.
    12. Kraft, Holger & Steffensen, Mogens, 2009. "Asset allocation with contagion and explicit bankruptcy procedures," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 147-167, January.
    13. International Association of Deposit Insurers, 2011. "Evaluation of Deposit Insurance Fund Sufficiency on the Basis of Risk Analysis," IADI Research Papers 11-11, International Association of Deposit Insurers.
    14. Mario Cerrato & John Crosby & Minjoo Kim & Yang Zhao, 2015. "Correlated Defaults of UK Banks: Dynamics and Asymmetries," Working Papers 2015_24, Business School - Economics, University of Glasgow.
    15. Pu, Xiaoling & Zhao, Xinlei, 2012. "Correlation in credit risk changes," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1093-1106.
    16. Esteghamat, Kian, 2003. "A boundary crossing model of counterparty risk," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1771-1799, August.
    17. Giesecke, Kay, 2002. "Credit risk modeling and valuation: An introduction," SFB 373 Discussion Papers 2002,54, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    18. Chen, Chang-Chih & Shyu, So-De & Yang, Chih-Yuan, 2011. "Counterparty effects on capital structure decision in incomplete market," Economic Modelling, Elsevier, vol. 28(5), pages 2181-2189, September.
    19. Li, Gang & Zhang, Chu, 2019. "Counterparty credit risk and derivatives pricing," Journal of Financial Economics, Elsevier, vol. 134(3), pages 647-668.
    20. Puneet Pasricha & Dharmaraja Selvamuthu & Selvaraju Natarajan, 2022. "A contagion process with self-exciting jumps in credit risk applications," Papers 2202.12946, arXiv.org.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlmpe:v:2023:y:2023:i:1:n:8960259. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/2629 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.