IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/94135.html
   My bibliography  Save this paper

Bilateral Defaultable Financial Derivatives Pricing and Credit Valuation Adjustment

Author

Listed:
  • Xiao, Tim

Abstract

The one-side defaultable financial derivatives valuation problems have been studied extensively, but the valuation of bilateral derivatives with asymmetric credit qualities is still lacking convincing mechanism. This paper presents an analytical model for valuing derivatives subject to default by both counterparties. The default-free interest rates are modeled by the Market Models, while the default time is modeled by the reduced-form model as the first jump of a time-inhomogeneous Poisson process. All quantities modeled are market-observable. The closed-form solution gives us a better understanding of the impact of the credit asymmetry on swap value, credit value adjustment, swap rate and swap spread.

Suggested Citation

  • Xiao, Tim, 2019. "Bilateral Defaultable Financial Derivatives Pricing and Credit Valuation Adjustment," MPRA Paper 94135, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:94135
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/94135/1/MPRA_paper_94135.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hubner, Georges, 2001. "The analytic pricing of asymmetric defaultable swaps," Journal of Banking & Finance, Elsevier, vol. 25(2), pages 295-316, February.
    2. Duffie, Darrell & Singleton, Kenneth J, 1997. "An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    3. Brian Huge & David Lando, 1999. "Swap Pricing with Two-Sided Default Risk in a Rating-Based Model," Review of Finance, European Finance Association, vol. 3(3), pages 239-268.
    4. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abdul Latif, Nurul Atikah, 2019. "The Impact of Liquidity Risk on Internal and External Factors," MPRA Paper 97222, University Library of Munich, Germany.

    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, 2019. "Pricing Interest Rate Swap Subject to Bilateral Counterparty Risk," MPRA Paper 94233, University Library of Munich, Germany.
    2. Dai, Qiang & Singleton, Kenneth J., 2003. "Fixed-income pricing," 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 20, pages 1207-1246, Elsevier.
    3. Wujiang Lou, 2015. "Liability-side Pricing of Swaps and Coherent CVA and FVA by Regression/Simulation," Papers 1512.07340, arXiv.org.
    4. Lekkos, Ilias, 2007. "Modelling multiple term structures of defaultable bonds with common and idiosyncratic state variables," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 783-817, December.
    5. Feldhütter, Peter & Lando, David, 2008. "Decomposing swap spreads," Journal of Financial Economics, Elsevier, vol. 88(2), pages 375-405, May.
    6. David-Pur, Lior & Galil, Koresh & Rosenboim, Mosi, 2020. "The dynamics of sovereign yields over swap rates in the Eurozone market," International Review of Financial Analysis, Elsevier, vol. 72(C).
    7. Choi, Hanbok & Eom, Young Ho & Jang, Woon Wook & Kim, Don H., 2017. "Covered interest parity deviation and counterparty default risk: U.S. Dollar/Korean Won FX swap market," Pacific-Basin Finance Journal, Elsevier, vol. 44(C), pages 47-63.
    8. Jyh-Horng Lin & Min-Li Yi, 2005. "Loan Portfolio Swaps and Optimal Lending," Review of Quantitative Finance and Accounting, Springer, vol. 24(2), pages 177-198, January.
    9. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011.
    10. 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.
    11. Hubner, Georges, 2001. "The analytic pricing of asymmetric defaultable swaps," Journal of Banking & Finance, Elsevier, vol. 25(2), pages 295-316, February.
    12. Li, Gang & Zhang, Chu, 2019. "Counterparty credit risk and derivatives pricing," Journal of Financial Economics, Elsevier, vol. 134(3), pages 647-668.
    13. Filipović, Damir & Trolle, Anders B., 2013. "The term structure of interbank risk," Journal of Financial Economics, Elsevier, vol. 109(3), pages 707-733.
    14. Houweling, Patrick & Vorst, Ton, 2005. "Pricing default swaps: Empirical evidence," Journal of International Money and Finance, Elsevier, vol. 24(8), pages 1200-1225, December.
    15. Marti G. Subrahmanyam & Young Ho Eom & Jun Uno, 2000. "Credit Risk and the Pricing of Japanese Yen Interest Rate Swaps," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-069, New York University, Leonard N. Stern School of Business-.
    16. Ilias Lekkos & Costas Milas & Theodore Panagiotidis, 2005. "On the predictability of common risk factors in the US and UK interest rate swap markets: Evidence from non-linear and linear models," Discussion Paper Series 2005_9, Department of Economics, Loughborough University, revised Sep 2005.
    17. Adam Kobor & Lishan Shi & Ivan Zelenko, 2005. "What Determines U.S. Swap Spreads?," World Bank Publications - Books, The World Bank Group, number 7272, December.
    18. Arora, Navneet & Gandhi, Priyank & Longstaff, Francis A., 2012. "Counterparty credit risk and the credit default swap market," Journal of Financial Economics, Elsevier, vol. 103(2), pages 280-293.
    19. Vivek Bhargava & D.K. Malhotra, 2012. "The effects of volatility spillover in the US basis swap markets," International Journal of Financial Services Management, Inderscience Enterprises Ltd, vol. 5(3), pages 216-238.
    20. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457.

    More about this item

    Keywords

    bilateral defaultable derivatives; credit asymmetry; market models; Black model; LIBOR market model; reduced-form model; credit valuation adjustment; swap spread.;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:94135. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.