We propose a new Monte Carlo simulation method to generate VaR scenarios for dependent risks on the basis of observed data. This is of particular interest for the construction of Internal Models under Solvency II . The approach is based on former work on partition-of-unity copulas, however with a direct  estimation of the joint density by product beta distributions after a suitable transformation of the original data.
We propose a Monte Carlo simulation method to generate stress tests by VaR scenarios under Solvency II for dependent risks on the basis of observed data. This is of particular interest for the construction of Internal Models and requirements on evaluation processes formulated in the Commission Delegated Regulation . The approach is based on former work on partition-ofunity copulas, however with a direct scenario estimation of the joint density by product beta distributions after a suitable transformation of the original data.
D
new
R
VaR scenarios
stress tests by VaR scenarios under Solvency II
R
under Solvency II
and requirements on evaluation processes formulated in the Commission Delegated Regulation
R
partition-of-unity
partition-ofunity
A
scenario