IDEAS home Printed from https://ideas.repec.org/a/cys/ecocyb/v50y2016i1p253-271.html
   My bibliography  Save this article

Pricing Cdss And Cds Options Under A Regime-Switching Cev Process With Jump To Default

Author

Listed:
  • Ruxing Xu
  • Dan Wu

    (Department of Mathematics, China Jiliang University)

  • Ronghua Yi

    (School of Management, China Jiliang University)

Abstract

This paper studies the valuation of credit default swaps (CDSs) and CDS options of European and Bermudan styles under a regimeswitching constant elasticity of variance (CEV) process with jump to default. Based on the empirical evidence that the changes of macroeconomic conditions such as business cycle impact on the values of credit products, we assume that the interest rate, the volatility parameter of the CEV process, and the parameters of default intensity function have switching dynamics governed by a continuous-time finite state Markov chain, whose states are deemed to represent the states of the underlying economy. We construct a recombining trinomial lattice and demonstrate the accuracy of the lattice framework. Within the framework, we derive the values of CDSs, European and Bermudan CDS options. The numerical results provide insight into the impact of regime switching on the behavior of CDS spread rates and the values of European and Bermudan CDS options.

Suggested Citation

  • Ruxing Xu & Dan Wu & Ronghua Yi, 2016. "Pricing Cdss And Cds Options Under A Regime-Switching Cev Process With Jump To Default," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(1), pages 253-271.
    • Handle: RePEc:cys:ecocyb:v:50:y:2016:i:1:p:253-271
    as

    Download full text from publisher

    File URL: ftp://www.eadr.ro/RePEc/cys/ecocyb_pdf/ecocyb1_2016p253-271.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alexander, Carol & Kaeck, Andreas, 2008. "Regime dependent determinants of credit default swap spreads," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1008-1021, June.
    2. Andrew Ang & Allan Timmermann, 2012. "Regime Changes and Financial Markets," Annual Review of Financial Economics, Annual Reviews, vol. 4(1), pages 313-337, October.
    3. Nelson, Daniel B & Ramaswamy, Krishna, 1990. "Simple Binomial Processes as Diffusion Approximations in Financial Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 393-430.
    4. Peter Carr & Vadim Linetsky, 2006. "A jump to default extended CEV model: an application of Bessel processes," Finance and Stochastics, Springer, vol. 10(3), pages 303-330, September.
    5. Boyle, Phelim & Draviam, Thangaraj, 2007. "Pricing exotic options under regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 267-282, March.
    6. Rafael Mendoza-Arriaga & Vadim Linetsky, 2011. "Pricing equity default swaps under the jump-to-default extended CEV model," Finance and Stochastics, Springer, vol. 15(3), pages 513-540, September.
    7. Duffie, Darrell & Singleton, Kenneth J, 1999. "Modeling Term Structures of Defaultable Bonds," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 687-720.
    8. David D. Yao & Qing Zhang & Xun Yu Zhou, 2006. "A Regime-Switching Model for European Options," International Series in Operations Research & Management Science, in: Houmin Yan & George Yin & Qing Zhang (ed.), Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems, chapter 0, pages 281-300, Springer.
    9. Simon van Norden & Huntley Schaller & ), 1995. "Regime Switching in Stock Market Returns," Econometrics 9502002, University Library of Munich, Germany.
    10. repec:dau:papers:123456789/409 is not listed on IDEAS
    11. Campi, Luciano & Polbennikov, Simon & Sbuelz, Alessandro, 2009. "Systematic equity-based credit risk: A CEV model with jump to default," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 93-108, January.
    12. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-182, April.
    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. Zhang, Xiaoyuan & Zhang, Tianqi, 2022. "Barrier option pricing under a Markov Regime switching diffusion model," The Quarterly Review of Economics and Finance, Elsevier, vol. 86(C), pages 273-280.
    2. Massimo Guidolin, 2011. "Markov Switching Models in Empirical Finance," Advances in Econometrics, in: Missing Data Methods: Time-Series Methods and Applications, pages 1-86, Emerald Group Publishing Limited.
    3. Godin, Frédéric & Lai, Van Son & Trottier, Denis-Alexandre, 2019. "Option pricing under regime-switching models: Novel approaches removing path-dependence," Insurance: Mathematics and Economics, Elsevier, vol. 87(C), pages 130-142.
    4. Chatziantoniou, Ioannis & Filis, George & Floros, Christos, 2017. "Asset prices regime-switching and the role of inflation targeting monetary policy," Global Finance Journal, Elsevier, vol. 32(C), pages 97-112.
    5. repec:uts:finphd:41 is not listed on IDEAS
    6. Chauvet, Marcelle & Jiang, Cheng, 2023. "Nonlinear relationship between monetary policy and stock returns: Evidence from the U.S," Global Finance Journal, Elsevier, vol. 55(C).
    7. Fontana, Claudio & Schmidt, Thorsten, 2018. "General dynamic term structures under default risk," Stochastic Processes and their Applications, Elsevier, vol. 128(10), pages 3353-3386.
    8. Alain Monfort & Jean-Paul Renne, 2011. "Credit and Liquidity Risks in Euro-area Sovereign Yield Curves," Working Papers 2011-26, Center for Research in Economics and Statistics.
    9. José Da Fonseca & Peiming Wang, 2016. "A joint analysis of market indexes in credit default swap, volatility and stock markets," Applied Economics, Taylor & Francis Journals, vol. 48(19), pages 1767-1784, April.
    10. Sakurai, Yuji & Uchida, Yoshihiko, 2014. "Rehypothecation dilemma: Impact of collateral rehypothecation on derivative prices under bilateral counterparty credit risk," Journal of Banking & Finance, Elsevier, vol. 48(C), pages 361-373.
    11. Sanjiv R. Das & Rangarajan K. Sundaram, 2007. "An Integrated Model for Hybrid Securities," Management Science, INFORMS, vol. 53(9), pages 1439-1451, September.
    12. Jang, Bong-Gyu & Rhee, Yuna & Yoon, Ji Hee, 2016. "Business cycle and credit risk modeling with jump risks," Journal of Empirical Finance, Elsevier, vol. 39(PA), pages 15-36.
    13. Xu, Ruxing, 2011. "A lattice approach for pricing convertible bond asset swaps with market risk and counterparty risk," Economic Modelling, Elsevier, vol. 28(5), pages 2143-2153, September.
    14. Vidal Nunes, João Pedro & Ruas, João Pedro & Dias, José Carlos, 2015. "Pricing and static hedging of American-style knock-in options on defaultable stocks," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 343-360.
    15. Xiaotong Lian & Yingda Song, 2021. "Pricing and calibration of the futures options market: A unified approximation," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(7), pages 1074-1091, July.
    16. Fischer, Henning & Stolper, Oscar, 2019. "The nonlinear dynamics of corporate bond spreads: Regime-dependent effects of their determinants," Discussion Papers 08/2019, Deutsche Bundesbank.
    17. Bansal, Ravi & Miller, Shane & Song, Dongho & Yaron, Amir, 2021. "The term structure of equity risk premia," Journal of Financial Economics, Elsevier, vol. 142(3), pages 1209-1228.
    18. Benbouzid, Nadia & Leonida, Leone & Mallick, Sushanta K., 2018. "The non-monotonic impact of bank size on their default swap spreads: Cross-country evidence," International Review of Financial Analysis, Elsevier, vol. 55(C), pages 226-240.
    19. Nan Chen & S. G. Kou, 2009. "Credit Spreads, Optimal Capital Structure, And Implied Volatility With Endogenous Default And Jump Risk," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 343-378, July.
    20. Hilscher, Jens, 2007. "Is the corporate bond market forward looking?," Working Paper Series 800, European Central Bank.
    21. Wisniewski, Tomasz Piotr & Lambe, Brendan John, 2015. "Does economic policy uncertainty drive CDS spreads?," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 447-458.

    More about this item

    Keywords

    Credit default swap; CDS options; CEV process; Lattice model; Regime switching;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:cys:ecocyb:v:50:y:2016:i:1:p:253-271. 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: Corina Saman (email available below). General contact details of provider: https://edirc.repec.org/data/feasero.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.