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 study the effects of correlation ambiguity on portfolio choice in a market with multiple risky assets. We find that the optimal portfolio contains only a fraction of risky assets under correlation ambiguity, and in particular, just one risky asset enters the optimal portfolio if the level of...

We investigate the influence of the dependence between random losses on the shortfall and on the diversification benefit that arises from merging these losses.We prove that increasing the dependence between losses, expressed in terms of correlation order, has an increasing effect on the...

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...