IDEAS home Printed from https://ideas.repec.org/a/spr/decfin/v44y2021i1d10.1007_s10203-020-00310-x.html
   My bibliography  Save this article

Pricing basket default swaps using quasi-analytic techniques

Author

Listed:
  • Nneka Umeorah

    (North-West University)

  • Phillip Mashele

    (North-West University)

  • Matthias Ehrhardt

    (Bergische Universität Wuppertal)

Abstract

This research work is based on the concept of the one-factor copula model together with the discrete Fourier transform, which is applied to reduce the dimensionality problems associated with the basket default swap pricing. We employ the Gaussian, the student-t and the Clayton one-factor copula to estimate the conditional probability of default. Incorporating the Fourier transform together with the distribution function of a counting process, we derive the quasi-analytical expression for the computation of the swap payment legs. We compute the conditional characteristic function for the corresponding portfolio loss distribution using the fast Fourier transform. Then, employ numerical integration with the aid of the inverse fast Fourier transform to retrieve the distribution function or the unconditional characteristic function. Our results show that in the absence of the trending simulation method, a semi-analytic method which involves the applications of the discrete Fourier transform can be utilized to price the basket credit default swaps.

Suggested Citation

  • Nneka Umeorah & Phillip Mashele & Matthias Ehrhardt, 2021. "Pricing basket default swaps using quasi-analytic techniques," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 241-267, June.
    • Handle: RePEc:spr:decfin:v:44:y:2021:i:1:d:10.1007_s10203-020-00310-x
    DOI: 10.1007/s10203-020-00310-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10203-020-00310-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10203-020-00310-x?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Cremers, Martijn & Driessen, Joost & Maenhout, Pascal & Weinbaum, David, 2008. "Individual stock-option prices and credit spreads," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2706-2715, December.
    2. H. Zheng, 2006. "Efficient hybrid methods for portfolio credit derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 6(4), pages 349-357.
    3. Jean-Paul Laurent & Jon Gregory, 2005. "Basket default swaps, CDOs and factor copulas," Post-Print hal-03679517, HAL.
    4. Koziol, Philipp & Schell, Carmen & Eckhardt, Meik, 2015. "Credit risk stress testing and copulas: Is the Gaussian copula better than its reputation?," Discussion Papers 46/2015, Deutsche Bundesbank.
    5. Rüdiger Frey & Jochen Backhaus, 2008. "Pricing And Hedging Of Portfolio Credit Derivatives With Interacting Default Intensities," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 611-634.
    6. Hirsa, Ali & Neftci, Salih N., 2013. "An Introduction to the Mathematics of Financial Derivatives," Elsevier Monographs, Elsevier, edition 3, number 9780123846822.
    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. Jean-David Fermanian & Olivier Vigneron, 2012. "On break-even correlation: the way to price structured credit derivatives by replication," Papers 1204.2251, arXiv.org.
    2. Wenqiong, Liu & Li, Shenghong, 2016. "Hedging default risks of CDO tranches in non-homogeneous Markovian contagion models," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 279-291.
    3. Chen, Zhuo & Lu, Andrea, 2017. "Slow diffusion of information and price momentum in stocks: Evidence from options markets," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 98-108.
    4. Pagès, Henri, 2013. "Bank monitoring incentives and optimal ABS," Journal of Financial Intermediation, Elsevier, vol. 22(1), pages 30-54.
    5. Nusrat Jahan, 2022. "Macroeconomic Determinants of Corporate Credit Spreads: Evidence from Canada," Carleton Economic Papers 22-07, Carleton University, Department of Economics.
    6. Dapena, Jose Pablo, 2003. "On the Valuation of Companies with Growth Opportunities," Journal of Applied Economics, Universidad del CEMA, vol. 6(01), pages 1-24, May.
    7. Mizen, Paul & Tsoukas, Serafeim, 2012. "The response of the external finance premium in Asian corporate bond markets to financial characteristics, financial constraints and two financial crises," Journal of Banking & Finance, Elsevier, vol. 36(11), pages 3048-3059.
    8. Ferdinand Graf, 2011. "Mechanically Extracted Company Signals and their Impact on Stock and Credit Markets," Working Paper Series of the Department of Economics, University of Konstanz 2011-18, Department of Economics, University of Konstanz.
    9. Xiao, Tim, 2018. "The Valuation of Credit Default Swap with Counterparty Risk and Collateralization," EconStor Preprints 203447, ZBW - Leibniz Information Centre for Economics.
    10. Arisoy, Yakup Eser, 2010. "Volatility risk and the value premium: Evidence from the French stock market," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 975-983, May.
    11. Ingrid Größl & Ulrich Fritsche, 2007. "The Store-of-Value-Function of Money as a Component of Household Risk Management," Discussion Papers of DIW Berlin 660, DIW Berlin, German Institute for Economic Research.
    12. Maxim Bichuch & Agostino Capponi & Stephan Sturm, 2018. "Robust XVA," Papers 1808.04908, arXiv.org, revised Feb 2020.
    13. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Management Science, INFORMS, vol. 60(9), pages 2248-2268, September.
    14. Xiao,Tim, 2018. "Pricing Financial Derivatives Subject to Multilateral Credit Risk and Collateralization," EconStor Preprints 202075, ZBW - Leibniz Information Centre for Economics.
    15. Dragon Tang & Hong Yan, 2006. "Macroeconomic Conditions, Firm Characteristics, and Credit Spreads," Journal of Financial Services Research, Springer;Western Finance Association, vol. 29(3), pages 177-210, June.
    16. Cathy Chen & Wolfgang Härdle, 2015. "Common factors in credit defaults swap markets," Computational Statistics, Springer, vol. 30(3), pages 845-863, September.
    17. Annaert, Jan & De Ceuster, Marc & Van Roy, Patrick & Vespro, Cristina, 2013. "What determines Euro area bank CDS spreads?," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 444-461.
    18. Davide Avino & Emese Lazar & Simone Varotto, 2011. "Which market drives credit spreads in tranquil and crisis periods? An analysis of the contribution to price discovery of bonds, CDS, stocks and options," ICMA Centre Discussion Papers in Finance icma-dp2011-17, Henley Business School, University of Reading.
    19. Demirovic, Amer & Guermat, Cherif & Tucker, Jon, 2017. "The relationship between equity and bond returns: An empirical investigation," Journal of Financial Markets, Elsevier, vol. 35(C), pages 47-64.
    20. Marcelle Chauvet & Simon Potter, 2005. "Forecasting recessions using the yield curve," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 24(2), pages 77-103.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    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:spr:decfin:v:44:y:2021:i:1:d:10.1007_s10203-020-00310-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.