Historical VaR, CVaR and ES (Expected Shortfall) to LIQUIDATION Software is a model characterized by its straightforwardness, allowing regulators measure risk using a standard database of primitive factors and portfolio positions only, leaving little error margin in comparing market risk for...

We propose a new approach to analyse the effect of diversification on a portfolio of risks. By means of mixing techniques, we provide an explicit formula for the probability density function of the portfolio. These techniques allow to compute analytically risk measures as VaR or TVaR, and...

We provide an extreme value analysis of the returns of Bitcoin. A particular focus is on the tail risk characteristics and we will provide an in-depth univariate extreme value analysis. Those properties will be compared to the traditional exchange rates of the G10 currencies versus the US...

This study addresses real estate's riskiness from a distributional viewpoint. Several studies have found real estate returns to be best modeled with stable paretian distributions. Using NCREIF individual property returns this is confirmed, but the first application of stable distributions to...

This lecture is given at the University of Leonard de Vinci, in Paris, France, to students of the School of Engineer program in Finance. It is a general introduction to the understanding of building blocks of the non-gaussian world and the shortcomings of the normal paradigm when pricing and...

This study arrives at a unifying risk measure for each of risk aversion and risk seeking preferences, a unifying risk measure (UrM) which explicitly embeds relative valuation of any two assets. The formal theory shows the UrM is, in relation to either of conditional volatility (CoV) or...

I provide a measure of time-varying tail risk in credit markets based on a dynamic power-law model. Credit tail risk is estimated from extreme price fluctuations of credit default swaps (CDS) on government debt. Tail returns are described by a power-law for core and peripheral countries within...