Companies in the same industry sector are usually more correlated than firms in different sectors, as they are similarly affected by macroeconomic effects, political decisions, and consumer trends. Despite the many stock return models taking this fact into account, there are only a few credit...

This paper proposes a copula that has versatile properties. We apply grouped t and versatile t copulas to estimate Value at Risk and expected shortfall using a sample of firms in the US property-liability insurance industry. We perform goodness-of-fit tests to assess the adequacy of the copula...

To investigate the importance of asymmetric dependence structures for portfolio value-at-risk (VaR) and conditional VaR (CVaR) calculations, we introduce bivariate copula functions with two GJR-GARCH models as marginals. The results show that the copula models and the competing dynamic...