In this paper we give a financial justification, based on non arbitrage conditions,of the (H) hypothesis in default time modelling. We also show how the (H) hypothesis isaffected by an equivalent change of probability measure.[...]

In this paper, we build a bridge between different reduced-form approaches to pricing defaultable claims. In particular, we showhow the well known formulas by Duffie et al. [12] and by Elliott et al.[14] are related. Moreover, in the spirit of Collin Dufresne et al. [8], wepropose a simple...

Filtrations have been introduced by Doob and have been a fundamentalfeature of the theory of stochastic processes. Most basic objects, such asmartingales, semimartingales, stopping times or Markov processes involvethe notion of filtration.[...]

We build a general model for pricing defaultable claims. In addition to the usual ab-sence of arbitrage assumption, we assume that one defaultable asset (at least) looses value when thedefault occurs. We prove that under this assumption, in some standard market ltrations, defaulttimes are...

In this paper, we discuss the solvability of backward stochastic differential equations(BSDEs) with superquadratic generators. We first prove that given a superquadraticgenerator, there exists a bounded terminal value, such that the associated BSDEdoes not admit any bounded solution. On the...