♮\natural-model with jumps

preprint2013arXivOpen access

Abstract

We consider the so-called ♮\natural-model. It is an one-default model which gives the conditional law of a random time with respect to a reference filtration. This model has been studied in the case where the parameters are continuous. In this paper we will establish the ♮\natural-model in the case of jump parameters. We then prove the corresponding enlargement of filtration formula and we compute the derivative of the conditional distribution functions of the random time.

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