In modern frameworks for financial regulation such as Basel III, IV as well as Solvency II, financial institutions are regulated to maintain a certain level of capital to prepare for potential future losses. In this paper, we take the perspective of a regulator who designs regulatory capital...

In this paper we develop a flexible and analytically tractable framework to compute the Credit Expected Shortfall in an explit if form through Kumaraswamy (1980) distribution with both default rate and recovery rate time-varying. The default rate is assumed to follow a square root process, and...

Downside risk measures play a very interesting role in risk management problems. In particular, the value at risk (VaR) and the conditional value at risk (CVaR) have become very important instruments to address problems such as risk optimization, capital requirements, portfolio selection,...

Accurate prediction of the frequency of extreme events is of primary importance in many financialapplications such as Value-at-Risk (VaR) analysis. We propose a semi-parametric method for VaRevaluation. The largest risks are modelled parametrically, while smaller risks are captured by the...

In this study, we compare the out-of-sample forecasting performance of several modern Value-at- Risk (VaR) estimators derived from extreme value theory (EVT). Specifically, in a multi-asset study covering 30 years of stock, bond, commodity and currency market data, we analyse the accuracy of the...