Abstract:
This paper provides an overview of the role of extreme value theory in risk management as a method for modelling and measuring extreme risks. In particular, it is shown the peaks-over-threshold (POT) model and how this method provides a tool for estimating measures of tail risk like Value-at-Risk (VaR) and expected shortfall. Further topics of interest, including State-Space model, Block Maxima, Markowitz model and a real data application, are also discussed.