Despite an extensive body of research, the best way to model the dependence of exchange rates remains an open question. In this paper we present a new approach which employs a flexible time-varying copula model. It allows the conditional correlation between exchange rates to be both time-varying...

In this paper we test for structural changes in the conditional dependence of two-dimensional foreign exchange data. We show that by modeling the conditional dependence structure using copulae we can detect changes in the dependence beyond linear correlation like changes in the tail of the joint...

APPLICATIONS OF MATHEMATICS STOCHASTIC MODELLING AND APPLIED PROBABILITY 33 Modelling Extremal Events for Insurance and Finance -- Modelling Extremal Events for Insurance and Finance -- Copyright -- Preface -- Table of Contents -- Reader Guidelines -- 1 Risk Theory -- 2 Fluctuations of Sums -- 3...

Due to the current credit crisis, critical questions are being asked concerning some of the quantitative methods used in risk management under the Basel II proposals. In this paper I have given a critical look at Extreme Value Theory and Copulas. Both their potential applications and the...

Stochastic models play an important role in the analysis of data in many different fields, including finance and insurance. Many models are estimated by procedures that lose their good statistical properties when the underlying model slightly deviates from the assumed one. Robust statistical...

For centuries, mathematicians and, later, statisticians, have found natural research and employment opportunities in the realm of insurance. By definition, insurance offers financial cover against unforeseen events that involve an important component of randomness, and consequently, probability...