In this paper, we propose the use of static and dynamic copulas to study the leverage effect in the S&P 500 index. Copula models can conveniently separate the leverage effect from the marginal distributions of the return and its volatility. Daily volatility is proxied by a measure of realized...

A copula approach is used to examine the extreme return-volume relationship in six emerging East-Asian equity markets. The empirical results indicate that there is significant and asymmetric return-volume dependence at extremes for these markets. In particular, extremely high returns (large...

We study the problem of finding the worst-case joint distribution of a set of risk factors given prescribed multivariate marginals with nonlinear loss function. The method has applications to any situation where marginals are provided, and bounds need to be determined on total portfolio risk....