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Credit risk and contagion via self-exciting default intensity

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  • Robert Elliott
  • Jia Shen

Abstract

Recent empirical evidences indicate that default rates are influenced not only by the observable or latent risk factors, but also depend on the history of past defaults. Motivated by this empirical finding, we consider in this paper a reduced-form, intensity-based credit risk model, which allows for both frailty and default contagion, using a so-called “self-exciting” intensity, in the sense that the default intensity varies not only with the risk factors, but also depends on the previous default history of all the firms. With “self-exciting” default intensity, we are able to obtain closed-form expressions for the pricing of credit derivative securities in our model. The estimation of parameters using the EM algorithm is considered as well. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Robert Elliott & Jia Shen, 2015. "Credit risk and contagion via self-exciting default intensity," Annals of Finance, Springer, vol. 11(3), pages 319-344, November.
    • Handle: RePEc:kap:annfin:v:11:y:2015:i:3:p:319-344
    DOI: 10.1007/s10436-015-0259-z
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    1. 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.
    2. 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.
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    6. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Zhang, Xiaoyuan & Zhang, Tianqi, 2022. "Dynamic credit contagion and aggregate loss in networks," The North American Journal of Economics and Finance, Elsevier, vol. 62(C).
    2. Feng-Hui Yu & Wai-Ki Ching & Jia-Wen Gu & Tak-Kuen Siu, 2017. "Interacting default intensity with a hidden Markov process," Quantitative Finance, Taylor & Francis Journals, vol. 17(5), pages 781-794, May.
    3. Jiang, Shanshan & Fan, Hong, 2018. "Credit risk contagion coupling with sentiment contagion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 186-202.

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    More about this item

    Keywords

    Credit derivative; Default contagion; Frailty; Self-exciting process; Markov chain; G12; G13; C58;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

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