The purpose of this paper is to investigate the performance of unconditional and conditional Value at Risk (VaR) and Expected Shortfall (ES) models based on EVT. The application of one unconditional VaR and ES model based on EVT and three variants of conditional models of VaR and ES based on EVT in the capital markets of the selected WBC was tested in the paper. To test the VaR model, a conditional and unconditional cover test was used, with the note that their results were subject to verification using the Monte Carlo test procedure. The obtained results suggests that these models can be successfully used to quantify extreme market risk in selected markets, in the context of Basel standards. ES models have been tested and ranked using loss function. By using the Bootstrap simulation, these results are subject to verification. The obtained results does not reveal which model is most suitable for the selected markets, since they are differently ranked in different markets
