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...

This article proposes semi-parametric least squares estimation of parametric risk-return relationships, i.e. parametric restrictions between the conditional mean and the conditional variance of excess returns given a set of unobservable parametric factors. A distinctive feature of our estimator...