IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v2y2014i4p313-334n3.html
   My bibliography  Save this article

Pricing Defaultable Securities under Actual Probability Measure

Author

Listed:
  • Feng Jianfen

    (School of Banking and Economics, UIBE, Beijing100029, China)

  • Chen Dianfa

    (School of Economics, Nankai University, Tianjin300071, China)

  • Yu Mei

    (School of Banking and Economics, UIBE, Beijing100029, China)

Abstract

In this paper, a new approach is developed to estimate the value of defaultable securities under the actual probability measure. This model gives the price framework by means of the method of backward stochastic differential equation. Such a method solves some problems in most of existing literatures with respect to pricing the credit risk and relaxes certain market limitations. We provide the price of defaultable securities in discrete time and in continuous time respectively, which is favorable to practice to manage real credit risk for finance institutes.

Suggested Citation

  • Feng Jianfen & Chen Dianfa & Yu Mei, 2014. "Pricing Defaultable Securities under Actual Probability Measure," Journal of Systems Science and Information, De Gruyter, vol. 2(4), pages 313-334, August.
    • Handle: RePEc:bpj:jossai:v:2:y:2014:i:4:p:313-334:n:3
    DOI: 10.1515/JSSI-2014-0313
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/JSSI-2014-0313
    Download Restriction: no
    File URL: https://libkey.io/10.1515/JSSI-2014-0313?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. Antje Berndt & Rohan Douglas & Darrell Duffie & Mark Ferguson, "undated". "Measuring Default Risk Premia from Default Swap Rates and EDFs," GSIA Working Papers 2006-E31, Carnegie Mellon University, Tepper School of Business.
    2. Darrell Duffie & Andreas Eckner & Guillaume Horel & Leandro Saita, 2009. "Frailty Correlated Default," Journal of Finance, American Finance Association, vol. 64(5), pages 2089-2123, October.
    3. Ivailo Izvorski, 1997. "Recovery Ratios and Survival Times for Corporate Bonds," IMF Working Papers 1997/084, International Monetary Fund.
    4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    5. repec:zbw:bofrdp:2000_002 is not listed on IDEAS
    6. 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.
    7. Dariusz Gatarek & Juliusz Jabłecki, 2013. "A model for dependent defaults and pricing contingent claims with counterparty risk," NBP Working Papers 150, Narodowy Bank Polski.
    8. P. Collin-Dufresne & R. Goldstein & J. Hugonnier, 2004. "A General Formula for Valuing Defaultable Securities," Econometrica, Econometric Society, vol. 72(5), pages 1377-1407, September.
    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. Jennie Bai & Pierre Collin-Dufresne & Robert S. Goldstein & Jean Helwege, 2012. "On bounding credit event risk premia," Staff Reports 577, Federal Reserve Bank of New York.
    2. Pierre Collin-Dufresne & Robert S. Goldstein & Jean Helwege, 2010. "Is Credit Event Risk Priced? Modeling Contagion via the Updating of Beliefs," NBER Working Papers 15733, National Bureau of Economic Research, Inc.
    3. Alain Monfort & Fulvio Pegoraro & Jean-Paul Renne & Guillaume Roussellet, 2021. "Affine Modeling of Credit Risk, Pricing of Credit Events, and Contagion," Management Science, INFORMS, vol. 67(6), pages 3674-3693, June.
    4. Giesecke, Kay & Longstaff, Francis A. & Schaefer, Stephen & Strebulaev, Ilya, 2011. "Corporate bond default risk: A 150-year perspective," Journal of Financial Economics, Elsevier, vol. 102(2), pages 233-250.
    5. Kraft, Holger & Steffensen, Mogens, 2008. "How to invest optimally in corporate bonds: A reduced-form approach," Journal of Economic Dynamics and Control, Elsevier, vol. 32(2), pages 348-385, February.
    6. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    7. Cheikh Mbaye & Frédéric Vrins, 2022. "Affine term structure models: A time‐change approach with perfect fit to market curves," Mathematical Finance, Wiley Blackwell, vol. 32(2), pages 678-724, April.
    8. Pu, Xiaoling & Zhao, Xinlei, 2012. "Correlation in credit risk changes," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1093-1106.
    9. Eliana Angelini & Elisa Di Febo, 2014. "CDS Spreads: an Empirical Analysis on the Determinants," Journal of Empirical Economics, Research Academy of Social Sciences, vol. 2(2), pages 70-87.
    10. Elisa Di Febo & Eliana Angelini, 2018. "The Relevance of Market Variables in the CDS Spread Volatility: An Empirical Post-crisis Analysis," Global Business Review, International Management Institute, vol. 19(6), pages 1462-1477, December.
    11. Lei, Jin & Qiu, Jiaping & Wan, Chi & Yu, Fan, 2021. "Credit risk spillovers and cash holdings," Journal of Corporate Finance, Elsevier, vol. 68(C).
    12. Jose Giancarlo Gasha & Mr. Andre O Santos & Mr. Jorge A Chan-Lau & Mr. Carlos I. Medeiros & Mr. Marcos R Souto & Christian Capuano, 2009. "Recent Advances in Credit Risk Modeling," IMF Working Papers 2009/162, International Monetary Fund.
    13. Das, Sanjiv R. & Hanouna, Paul, 2009. "Implied recovery," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1837-1857, November.
    14. Jens Hilscher & Yves Nosbusch, 2010. "Determinants of Sovereign Risk: Macroeconomic Fundamentals and the Pricing of Sovereign Debt," Review of Finance, European Finance Association, vol. 14(2), pages 235-262.
    15. Leonard Tchuindjo, 2007. "Pricing of Multi-Defaultable Bonds with a Two-Correlated-Factor Hull-White Model," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(1), pages 19-39.
    16. Zhou, Ping, 2007. "Forecasting bankruptcy and physical default intensity," LSE Research Online Documents on Economics 24434, London School of Economics and Political Science, LSE Library.
    17. Huang, Xin & Zhou, Hao & Zhu, Haibin, 2009. "A framework for assessing the systemic risk of major financial institutions," Journal of Banking & Finance, Elsevier, vol. 33(11), pages 2036-2049, November.
    18. Das, Sanjiv R. & Hanouna, Paul & Sarin, Atulya, 2009. "Accounting-based versus market-based cross-sectional models of CDS spreads," Journal of Banking & Finance, Elsevier, vol. 33(4), pages 719-730, April.
    19. Mili, Medhi & Sahut, Jean-Michel & Teulon, Frédéric, 2018. "Modeling recovery rates of corporate defaulted bonds in developed and developing countries," Emerging Markets Review, Elsevier, vol. 36(C), pages 28-44.
    20. Alain Monfort & Jean-Paul Renne, 2013. "Default, Liquidity, and Crises: an Econometric Framework," Journal of Financial Econometrics, Oxford University Press, vol. 11(2), pages 221-262, March.

    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:bpj:jossai:v:2:y:2014:i:4:p:313-334:n:3. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.