This paper examines asset allocation strategies in an extreme value at risk (VaR) framework in which the risk measure is the p-quantile from the extreme value distribution. The main focus is on the allocation problem faced by an extremely risk-averse institution, such as a central bank.
Extreme value theory (EVT) has been applied in fields such as hydrology and insurance. It is a tool used to consider probabilities associated with extreme and thus rare events. EVT is useful in modelling the impact of crashes or situations of extreme stress on investor portfolios.