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...

In this article we explain how to use rating histories provided by the internal scoring systems of banks and 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...

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...

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...

We provide a structural approach to disentangle Granger versus instantaneous causality effects from transaction durations to price volatility. So far, in the literature, instantaneous causality effects have either been excluded or cannot be identified separately from Granger type causality...

This article deals with the estimation of the parameters of an a-stable distribution with indirect inference, using the skewed-t distribution as an auxiliary model. The latter distribution appears as a good candidate since it has the same number of parameters as the a-stable distribution, with...

Risk aversion functions extracted from observed stock and option prices can be negative, as shown by Aiuml;t-Sahalia and Lo (2000), Journal of Econometrics 94: 9-51; and Jackwerth (2000), The Review of Financial Studies 13(2), 433-51. We rationalize this puzzle by a lack of conditioning on latent...

This paper extends to the multiasset framework the closed-form solution for options with stochastic volatility derived in Heston (1993) and Ball and Roma (1994). This extension introduces a risk premium in the return equation and considers Wishart dynamics for the process of the stochastic...

In one of the early attempts to model stochastic volatility, Clark [1973] conjectured that the size of asset price movements is tied to the rate at which transactions occur. To formally analyze the econometric implications, he distinguished between transaction time and calendar time. The present...

Subordinated stochastic processes, also called time deformed stochastic processes, have been proposed in a variety of contexts to describe asset price behavior. They are used when the movement of prices is tied to the number of market transactions, trading volume or the more elusive concept of...