Point processes with stochastic arrival intensities are ubiquitous in many areas, including finance, insurance, reliability, health care and queuing. They can be simulated from a Poisson process by time-scaling with the cumulative intensity. The paths of the cumulative intensity are often...

Risk management is an important component of the investment process. It requires quantitative measures of risk that provide a metric for the comparison of financial positions. In this expository note we give an overview of risk measures. In particular, we contrast different risk measures with...

We model aggregate credit losses on large portfolios of financial positions contracted with firms subject to both cyclical default correlation and direct default contagion processes. Cyclical correlation is due to the dependence of firms on common economic factors. Credit contagion phenomena are...

The recent accounting scandals at Enron, WorldCom, and Tyco wererelated to the (intentional) non-disclosure of a part of the firm's liabilities. We provide a structural model of correlated multi-firm default, in which public bond investors are uncertain about the liability-dependent barrier at...

A credit investor such as a bank granting loans to firms or an asset manager buying corporate bonds is exposed to correlated corporate default risk. A multi-name credit derivative is a financial security that allows the investor to transfer this risk to the credit market. In this article, we...

This paper analyzes a family of multivariate point process models of correlated event timing whose arrival intensity is driven by an affine jump diffusion. The components of an affine point process are self- and cross-exciting, and facilitate the description of complex event dependence...

Point processes with stochastic intensities are ubiquitous in many application areas, including finance, insurance, reliability and queuing. They can be simulated from standard Poisson arrivals by time-scaling with the cumulative intensity, whose path is typically generated with a discretization...

We develop and analyze a class of unbiased Monte Carlo estimators for multivariate jump-diffusion processes with state-dependent drift, volatility, jump intensity and jump size. A change of measure argument is used to extend existing unbiased estimators for the inter-arrival diffusion to include...