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Multiscale Intensity Models for Single Name Credit Derivatives

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  • E. Papageorgiou
  • R. Sircar

Abstract

We study the pricing of defaultable derivatives, such as bonds, bond options, and credit default swaps in the reduced form framework of intensity-based models. We use regular and singular perturbation expansions on the intensity of default from which we derive approximations for the pricing functions of these derivatives. In particular, we assume an Ornstein-Uhlenbeck process for the interest rate, and a two-factor diffusion model for the intensity of default. The approximation allows for computational efficiency in calibrating the model. Finally, empirical evidence on the existence of multiple scales is presented by the calibration of the model on corporate yield curves.

Suggested Citation

  • E. Papageorgiou & R. Sircar, 2008. "Multiscale Intensity Models for Single Name Credit Derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(1), pages 73-105.
    • Handle: RePEc:taf:apmtfi:v:15:y:2008:i:1:p:73-105
    DOI: 10.1080/13504860701352222
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    References listed on IDEAS

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    1. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
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    Cited by:

    1. E. Bayraktar, 2008. "Pricing Options on Defaultable Stocks," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(3), pages 277-304.
    2. Jean-Pierre Fouque & Sebastian Jaimungal & Yuri F. Saporito, 2021. "Optimal Trading with Signals and Stochastic Price Impact," Papers 2101.10053, arXiv.org, revised Aug 2023.
    3. Andrea De Martino & Edward Manuel Ruiz Crosby & Roberto Stagni, 2017. "A unified framework for pricing credit and equity derivatives," Working Papers 116, Peruvian Economic Association.
    4. Shican Liu & Yanli Zhou & Benchawan Wiwatanapataphee & Yonghong Wu & Xiangyu Ge, 2018. "The Study of Utility Valuation of Single-Name Credit Derivatives with the Fast-Scale Stochastic Volatility Correction," Sustainability, MDPI, vol. 10(4), pages 1-21, March.
    5. Alessandro Andreoli & Luca Vincenzo Ballestra & Graziella Pacelli, 2018. "Pricing Credit Default Swaps Under Multifactor Reduced-Form Models: A Differential Quadrature Approach," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 379-406, March.
    6. Enrico Bernardi & Silvia Romagnoli, 2016. "Distorted Copula-Based Probability Distribution of a Counting Hierarchical Variable: A Credit Risk Application," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 285-310, March.

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    More about this item

    Keywords

    Defaultable bond; credit default swap; defaultable bond option; asymptotic approximation; time scales; JEL classification : G12; G13;
    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

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