Next Article in Journal / Special Issue
Risk Management under Omega Measure
Previous Article in Journal
Enhancing Singapore’s Pension Scheme: A Blueprint for Further Flexibility
Article Menu
Issue 2 (June) cover image

Export Article

Open AccessFeature PaperArticle

Bond and CDS Pricing via the Stochastic Recovery Black-Cox Model

Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Quantitative Analytics, Barclays Capital, 745 7th Ave, New York, NY 10019, USA
Authors to whom correspondence should be addressed.
Risks 2017, 5(2), 26;
Received: 18 January 2017 / Revised: 4 April 2017 / Accepted: 10 April 2017 / Published: 19 April 2017
PDF [350 KB, uploaded 27 April 2017]


Building on recent work incorporating recovery risk into structural models by Cohen & Costanzino (2015), we consider the Black-Cox model with an added recovery risk driver. The recovery risk driver arises naturally in the context of imperfect information implicit in the structural framework. This leads to a two-factor structural model we call the Stochastic Recovery Black-Cox model, whereby the asset risk driver At defines the default trigger and the recovery risk driver Rt defines the amount recovered in the event of default. We then price zero-coupon bonds and credit default swaps under the Stochastic Recovery Black-Cox model. Finally, we compare our results with the classic Black-Cox model, give explicit expressions for the recovery risk premium in the Stochastic Recovery Black-Cox model, and detail how the introduction of separate but correlated risk drivers leads to a decoupling of the default and recovery risk premiums in the credit spread. We conclude this work by computing the effect of adding coupons that are paid continuously until default, and price perpetual (consol bonds) in our two-factor firm value model, extending calculations in the seminal paper by Leland (1994). View Full-Text
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Printed Edition Available!
A printed edition of this Special Issue is available here.

Share & Cite This Article

MDPI and ACS Style

Cohen, A.; Costanzino, N. Bond and CDS Pricing via the Stochastic Recovery Black-Cox Model. Risks 2017, 5, 26.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Risks EISSN 2227-9091 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top