In this paper we discuss some statistical pitfalls that may occur in modeling cross-dependences with copulas in financial applications. In particular we focus on issues arising in the estimation and the empirical choice of copulas as well as in the design of time-dependent copulas.

Extreme Value Theory (EVT) has develop ed very rapidly over the past two decades both methodologically and with respect to applications. Whereas (non–life) actuaries have, at least implicitly, used EVT techniques for a long time, mainly through the emergence of quantitative Risk Management, EVT...

We consider the modelling of rare events in financial time series,and introduce a marked point process model for the excesses of thetime series over a high threshold that combines a self-exciting processfor the exceedances with a mark (size) dependent process. This allowsrealistic models for...

In this paper we present a model to price and hedge basket credit derivatives andcollateralised loan obligation. Based upon the copula-approach by Schönbucher and Schubert (2001) the model allows a specification of the joint dynamics of credit spreads and default intensities, including a...

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...

The Basel Committee on Banking Supervision ("the Committee") released a consultative document that included a regulatory capital charge for operational risk. Since the release of the document, the complexity of the concept of "operational risk" has led to vigorous and recurring discussions. We...

In this paper, we investigate the relative performance of Value-at-Risk (VaR) models with the daily stock market returns of nine di.erent emerging markets. In addition to well-known modeling approaches such as variance-covariance method and historical simulation, we study the extreme value...

This project identi.es and quanti.es two potential sources of model riskin the valuation of basket credit derivatives. The frameworkemployed is that of a latent variable model with factor structure which enjoys a great popularity in the .nancial industry as well as in academia. Preliminary...

We consider a nonparametric method to estimate copulas, i.e. functions linking joint distributions to their univariate margins. We derive the asymptotic properties of kernel estimators of copulas and their derivatives in the context of a multivariate stationary process satisfactory strong mixing...