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Assessing Credit with Equity: A CEV Model with Jump to Default

Author

Listed:
  • Luciano Campi

    (CEREMADE, Université Paris Dauphine)

  • Simon Polbennikov

    (Econometrics and Operations Research, Tilburg University, The Netherlands,)

  • Sbuelz

    (Department of Economics (University of Verona))

Abstract

Unlike in structural and reduced-form models, we use equity as a liquid and observable primitive to analytically value corporate bonds and credit default swaps. Restrictive assumptions on the firm’s capital structure are avoided. Default is parsimoniously represented by equity value hitting the zero barrier. Default can be either predictable, according to a CEV process that yields a positive probability of diffusive default and enables the leverage effect, or unpredictable, according to a Poisson-process jump that implies non-zero credit spreads for short maturities. Easy cross-asset hedging is enabled. By means of a carefully specified pricing kernel, we also enable analytical credit-risk management under possibly systematic jump-to-default risk.

Suggested Citation

  • Luciano Campi & Simon Polbennikov & Sbuelz, 2005. "Assessing Credit with Equity: A CEV Model with Jump to Default," Working Papers 24/2005, University of Verona, Department of Economics.
    • Handle: RePEc:ver:wpaper:24/2005
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    References listed on IDEAS

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    Cited by:

    1. Ren Raw Chen & Cheng Few Lee & Han-Hsing Lee, 2020. "Empirical Performance of the Constant Elasticity Variance Option Pricing Model," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 51, pages 1903-1942, World Scientific Publishing Co. Pte. Ltd..
    2. Anh Le, 2015. "Separating the Components of Default Risk: A Derivative-Based Approach," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 5(01), pages 1-48.
    3. 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.
    4. Maclachlan, Iain C, 2007. "An empirical study of corporate bond pricing with unobserved capital structure dynamics," MPRA Paper 28416, University Library of Munich, Germany.
    5. Sanjiv R. Das & Rangarajan K. Sundaram, 2007. "An Integrated Model for Hybrid Securities," Management Science, INFORMS, vol. 53(9), pages 1439-1451, September.

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    More about this item

    Keywords

    Equity; Corporate Bonds; Credit Default Swaps; Constant-Elasticity-of-Variance (CEV) Diffusion; Jump to Default;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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