In this paper, we consider an incomplete market framework and explain how to use jointly observed prices of the underlying asset and of some derivatives written on this assetfor an efficient pricing of other derivatives. This question involves two types of moment restrictions, which can be...

The aim of this paper is to explain why cross-sectional estimated migration correlations displayed in the academic and professional literature can be either not consistent, or inefficient, and to discuss alternative approaches. The analysis relies on a model with stochastic migration in which...

In this paper we explain how to use rating histories provided by the internal scoring systems of banks and by rating agencies in order to predict the future risk of a set of borrowers. The method is developed following the steps suggested by the Basle Committee. To introduce both migration...

In this paper we provide a convenient econometric framework for the analy-sis of nonlinear dependence in financial applications. We introduce models withconstrained nonparametric dependence, which specify the conditional distrib-ution or the copula in terms of a one-dimensional functional...

The aim of this paper is to extend the results of Jarrow, Yu (2001) onthe spread term structures of corporate bonds. We first consider differentcharacterisations of these term structures, when the available informationcorresponds to the default histories of the firms. The approach is then...

We consider an homogeneous class of assets, whose returns are driven by an unobservablefactor. We derive approximated prediction and pricing formulas for the future factorvalues and their proxies, when the size n of the class is large. Up to order 1=n, these approximationsinvolve solely...