A General Formula for Valuing Defaultable Securities
Goldstein R. and
Econometrica, 2004, vol. 72, issue 5, pages 1377-1407
Previous research has shown that under a suitable no-jump condition, the price of a defaultable security is equal to its risk-neutral expected discounted cash flows if a modified discount rate is introduced to account for the possibility of default. Below, we generalize this result by demonstrating that one can always value defaultable claims using expected risk-adjusted discounting provided that the expectation is taken under a slightly modified probability measure. This new probability measure puts zero probability on paths where default occurs prior to the maturity, and is thus only absolutely continuous with respect to the risk-neutral probability measure. After establishing the general result and discussing its relation with the existing literature, we investigate several examples for which the no-jump condition fails. Each example illustrates the power of our general formula by providing simple analytic solutions for the prices of defaultable securities. Copyright The Econometric Society 2004.
References: Add references at CitEc
Citations View citations in EconPapers (27) Track citations by RSS feed
Downloads: (external link)
http://hdl.handle.net/10.1111/j.1468-0262.2004.00538.x link to full text (text/html)
Access to full text is restricted to subscribers.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: http://EconPapers.repec.org/RePEc:ecm:emetrp:v:72:y:2004:i:5:p:1377-1407
Ordering information: This journal article can be ordered from
https://www.economet ... ordering-back-issues
Access Statistics for this article
Econometrica is currently edited by Daron Acemoglu
More articles in Econometrica from Econometric Society Contact information at EDIRC.
Series data maintained by Wiley-Blackwell Digital Licensing ().