The Basel Committee on Banking Supervision (BIS) has recently sanctioned Expected Shortfall (ES) as the market risk measure to be used for banking regulatory purposes, replacing the well-known Value-at-Risk (VaR). This change is motivated by the appealing theoretical properties of ES as a...

Systemic risk has drawn the attention of many researchers and financial institutions since the recent financial crisis. Popular systemic risk measures include CoVaR, CoES, MES and SRISK etc. However, there are only a few methods available on modeling these measures, and even less papers on...

White et al. (2015) extend the vector autoregressive (VAR) for conditional mean to VAR for conditional quantiles (VAR-VaR) to capture the interdependencies among the quantiles of multiple time series. In this paper, we introduce a post-lasso estimator to extend VAR-VaR to the high-dimensional...

Historical Simulation (HS) and its variant, the Filtered Historical Simulation (FHS), are the most widely used Value-at-Risk forecast methods at commercial banks. These forecast methods are traditionally evaluated by means of the unconditional backtest. This paper formally shows that the...