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Modeling and pricing credit risk with a focus on recovery risk

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  • Liu, Haibo
  • Tang, Qihe

Abstract

Consider a defaultable bond traded in a financial market that is subject to shocks and regime shifts. Its recovery payment has a hybrid structure, comprising two components: one contingent on historical information up to the time of default, and the other an independent variable indexed by the regime at the time of default. The default intensity, interest rate, and reference rate are assumed to be general deterministic functions of certain state variables, while these state variables jointly follow a jump-diffusion process, with drift and volatility coefficients governed by the regime and with jumps induced by shocks. We construct a risk-neutral pricing measure that prices all risk sources in an integrated manner. A rigorous verification of this pricing measure reveals the corresponding time-dependent market prices of these risk sources. The resulting pricing framework is applicable to most defaultable bonds and credit derivatives.

Suggested Citation

  • Liu, Haibo & Tang, Qihe, 2025. "Modeling and pricing credit risk with a focus on recovery risk," Journal of Banking & Finance, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:jbfina:v:170:y:2025:i:c:s0378426624002310
    DOI: 10.1016/j.jbankfin.2024.107317
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    More about this item

    Keywords

    Risk-neutral pricing; Default; Shock; Regime shift; Recovery risk; Doubly stochastic Poisson process;
    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
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

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