Based on daily VDAX data this paper analyzes the factors governing the movements of implied volatilities of options on the German stock index DAX. Using Principal Components Analysis over the sample period from 1996 to 1997, we derive common factors representing shift and curvature of the term...

We examine how sensitive the new performance indexes incorporating high moments and disaster risk are to disaster risk. The new performance indexes incorporating high moments and disaster risk are the Aumann-Serrano performance index and Foster-Hart performance index proposed by Kadan and Liu....

We give a precise operational definition to three requirements the Basel Committee on Banking Supervision specifies for stress tests: Plausibility and severity of stress scenarios as well as suggestiveness of risk reducing actions. The basic idea of our approach is to define a suitable region of...

We examine how sensitive the new performance indexes incorporating high moments and disaster risk are to disaster risk. The new performance indexes incorporating high moments and disaster risk are the Aumann-Serrano performance index and Foster-Hart performance index proposed by Kadan and Liu....

We give a precise operational definition to three requirements the Basel Committee on Banking Supervision specifies for stress tests: Plausibility and severity of stress scenarios as well as suggestiveness of risk reducing actions. The basic idea of our approach is to define a suitable region of...

Value-at-Risk (VaR) and Expected Shortfall (ES) are common high quantile-based risk measures adopted in financial regulations and risk management. In this paper, we propose a tail risk measure based on the most probable maximum size of risk events (MPMR) that can occur over a length of time....

We propose a new method for analysing multiperiod stress scenarios for portfolio credit risk more systematically than in the current practice of macro stress testing. Our method quantifies the plausibility of scenarios by considering the distance of the stress scenario from an average scenario....

In this paper, we find bounds on the distribution of the maximum loss of fractional Brownian motion with H≥1/2 and derive estimates on its tail probability. Asymptotically, the tail of the distribution of maximum loss over [0,t] behaves like the tail of the marginal distribution at time t.