Starting from the Merton framework for firm defaults, we provide the analytics and robustness of the relationship between default correlations. We show that loans with higher default probabilities will not only have higher variances but also higher correlations between loans. As a consequence,...

We provide an axiomatic foundation for the measurement of correlation diversification in a one-period portfolio model. We propose a set of eight desirable axioms for this class of diversification measures. We name the measures satisfying these axioms coherent correlation diversification...

Portfolio diversification and hedging have become more complicated in large part due to adverse developments in the time-varying behavior of correlations, and consequently there is renewed appreciation for understanding how correlation dynamics affect the diversification and hedging properties...