The aim of this paper is to analyze the sensitivity of Value at Risk (VaR) with respect to portfolio allocation. We derive analytical expressions for the first and second derivatives of the Value at Risk, and explain how they can be used to simplify statistical inference and to perform a local...

A factor analysis of returns of shares traded on the Brussels Stock Exchange reveals that the first dominant factor is highly correlated with the popular Bel-20 index and that a distinctive alternative trend is represented by the market's second factor. We propose a new stock index consisting of...