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Modelling bonds and credit default swaps using a structural model with contagion

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  • Helen Haworth
  • Christoph Reisinger
  • William Shaw

Abstract

This paper develops a two-dimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion. Modelling the values of related firms as correlated geometric Brownian motions with exponential default barriers, analytical formulae are obtained for both credit default swap spreads and corporate bond yields. The credit dependence structure is influenced by both a longer-term correlation structure as well as by the possibility of default contagion. In this way, the model is able to generate a diverse range of shapes for the term structure of credit spreads using realistic values for input parameters.

Suggested Citation

  • Helen Haworth & Christoph Reisinger & William Shaw, 2008. "Modelling bonds and credit default swaps using a structural model with contagion," Quantitative Finance, Taylor & Francis Journals, vol. 8(7), pages 669-680.
    • Handle: RePEc:taf:quantf:v:8:y:2008:i:7:p:669-680
    DOI: 10.1080/14697680701834614
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    References listed on IDEAS

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    1. Elisa Luciano & Wim Schoutens, 2006. "A multivariate jump-driven financial asset model," Quantitative Finance, Taylor & Francis Journals, vol. 6(5), pages 385-402.
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    Cited by:

    1. Lee, Hangsuck & Lee, Minha & Ko, Bangwon, 2022. "A semi-analytic valuation of two-asset barrier options and autocallable products using Brownian bridge," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    2. S. Heise & R. Kühn, 2012. "Derivatives and credit contagion in interconnected networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(4), pages 1-19, April.
    3. Dima Rahman, 2014. "Are banking systems increasingly fragile? Investigating financial institutions' CDS returns extreme co-movements," Quantitative Finance, Taylor & Francis Journals, vol. 14(5), pages 805-830, May.
    4. See-Nie Lee & Fan-Fah Cheng & Chee-Wooi Hooy & Mohamed Hisham Dato Haji Yahya, 2017. "Volatility Contagion in Selected Six Asian Countries: Evidence from Country Debt Risk and Determinant Indicators," International Journal of Business and Administrative Studies, Professor Dr. Bahaudin G. Mujtaba, vol. 3(2), pages 36-55.
    5. Tingqiang Chen & Xindan Li & Jining Wang, 2015. "Spatial Interaction Model of Credit Risk Contagion in the CRT Market," Computational Economics, Springer;Society for Computational Economics, vol. 46(4), pages 519-537, December.
    6. Alexander Lipton & Ioana Savescu, 2012. "Pricing credit default swaps with bilateral value adjustments," Papers 1207.6049, arXiv.org.
    7. Liang-Chih Liu & Chun-Yuan Chiu & Chuan-Ju Wang & Tian-Shyr Dai & Hao-Han Chang, 2022. "Analytical pricing formulae for vulnerable vanilla and barrier options," Review of Quantitative Finance and Accounting, Springer, vol. 58(1), pages 137-170, January.

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