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 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...

This paper deals with asymptotically efficient estimation in exchangeable nonlinear dynamicpanel models with common unobservable factor. These models are especially relevantfor applications to large portfolios of credits, corporate bonds, or life insurance contracts, andare recommended in the...

The recursive prediction and filtering formulas of the Kalman filter are difficult to implementin nonlinear state space models. For Gaussian linear state space models, or for models with qualitativestate variables, the recursive formulas of the filter require the updating of a finite number...

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...

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

We consider a set of Markovian processes with Stochastic transition matrices. This specification extends the standard stochastic intensity model introduced by Cox in the two state case. Such a model is appropriate for the joint analysis of rating histories of several corporates, including the...

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...