Generating unfavourable VaR scenarios with patchwork copulas
arXiv:2011.06281
Abstract
The central idea of the paper is to present a general simple patchwork construction principle for multivariate copulas that create unfavourable VaR (i.e. Value at Risk) scenarios while maintaining given marginal distributions. This is of particular interest for the construction of Internal Models in the insurance industry under Solvency II in the European Union. The method is exemplified with a 19-dimensional real-life data set of insurance losses.
arXiv comment26 pages, 14 figures, 8 tables
References in corpus (5)
- Risk aggregation with empirical margins: Latin hypercubes, empirical copulas, and convergence of sum distributions
- New copulas based on general partitions-of-unity and their applications to risk management (part II)
- Generating VaR scenarios with product beta distributions
- New copulas based on general partitions-of-unity (part III) - the continuous case (extended version)
- Shaping tail dependencies by nesting box copulas