We highlight important and specific characteristics of default risk and methodological implications. In a simulation contrasting independent, Gaussian and Clayton copulas, we also show that joint default probabilities might be a hidden source of risk in conventional portfolio models of default

In this paper, we propose a method for hedge fund replication using a factor-based model supplemented with a series of risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the approach to replicate the monthly returns of ten broad hedge...

Using equations that arise in quantum mechanics, this paper describes a way to more accurately and efficiently represent non-Gaussian return distributions than the standard method of invoking skewness and kurtosis. Then, it provides a new single intuitive number, defined here as the “crash...

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...

In recent years both equity and bond markets have been afflicted by high volatility. In order to build up a conservative portfolio several models may be used, such as minimum variance portfolio or equally weighted portfolio. In 2008/09 another way to deal with diversification came up, that is...

This paper focuses on portfolio risk forecasting in an asymmetrical framework. Risk is defined by two factors; the dependence structure and the volatility. In order to account for asymmetric dependencies, the return series' interdependence is estimated via a Copula approach rather than the...

We introduce a measure of diversification for portfolios comprising d risky assets. This measure relates the smallest possible return variance among these d assets to the overall portfolio return variance, yielding the portion of non-diversifiable risk. In the context of normally distributed...