Abstract: This paper presents a model for valuing derivative securities when there is default risk. The holder of a security is assumed to recover a proportion of its no-default value in the event of a default by the counterparty. Both the probability of default and the size of the proportional recovery are random. The paper shows how data on bonds issued by the counterparty can be used to provide information about model parameters.
Keywords: Options, Derivatives, Default, Credit risk, Pricing.