This paper presents a framework to model correlated default events that can be used to price and hedge standard and exotic credit baskets whose values depend on the realized losses of a default portfolio. The model consists of parametric continuous time Markov chain and aims to accurately...

In this paper we develop a class of applied probabilistic continuous time but discretized state space decompositions of the characterization of a multivariate generalized diffusion process. This decomposition is novel and, in particular, it allows one to construct families of mimicking classes...

There is now an increasingly large number of proposed concordance measures available to capture, measure and quantify different notions of dependence in stochastic processes. However, evaluation of concordance measures to quantify such types of dependence for different copula models can be...

We develop a new class of techniques that takes a copula function and quantifies the dependence properties through a localized coefficient of dependence in the state space. Effectively we develop a numerical procedure to map any copula function to a generalized Gaussian copula function. This...

This paper contains facts and introductory concepts on Asset and Liability Management, Funds Transfer Pricing Systems and Funding Costs. Banks, hedge funds and more generally finance companies engage in complex capital market activities that involve trading of instruments in derivative or cash...

This working paper contains facts and introductory concepts about Markov Chain Monte Carlo (MCMC) methods and algorithms. The aim is to provide the reader with a general introduction to the MCMC framework