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In this work we consider a model of an insurance company where the insurer has to face a
claims process which follows a Compound Poisson process with finite exponential moments.
The insurer is allowed to invest in a bank account and in a risky asset described by
Geometric Brownian motion with stochastic volatility that depends on an external factor
modelled as a diffusion process. By using exponential martingale techniques we obtain
upper and lower...
Paul Embrechts is Professor of Mathematics at the ETH Zurich specializing in Actuarial Mathematics and Quantitative Risk Management. Previous academic positions include the Universities of Leuven, Limburg and London (Imperial College). Dr. Embrechts has held visiting professorships at several universities, including the Scuola Normale in Pisa (Cattedra Galileiana), the London School of Economics (Centennial Professor of Finance), the University of Vienna, Paris 1 (Panthéon-Sorbonne), theNationalUniversity...
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