Recent literature has investigated the risk aggregation of a portfolio X = (Xi)1≤i≤n under the sole assumption that the marginal distributions of the risks Xi are specified but not their dependence structure. There exists a range of possible values for any risk measure of S = ∑n i=1Xi and the dependence uncertainty spread, as measured by the difference between the upper bound and the lower boun...

A distortion risk measure used in finance and insurance is defined as the expected value of potential loss under a scenario probability measure. In this paper, the tail distortion risk measure is introduced to assess tail risks of excess losses modeled by the right tails of loss distributions. The asymptotic linear relation between tail distortion and Value-at-Risk is derived for heavy tailed l...

The improvement of banks’ operational risk management frameworks concerns new requirements addressed in the Basel II Framework, a new capital adequacy regulation proposed by the Basel Committee on Banking Supervision (BCBS). Basel II will apply to internationally active banks and to all banks and investment firms in the EU via transposition of a new Directive into national regulations. By doing...

This research addressed the need for in-depth investigation of what actually happens in the practice of risk management in software package implementation projects. There is strong ‘official’ sanction in the IT literature for the use of formal risk management processes for IT projects but there is a confused picture of their application in practice. While many potential risk factors for IT proj...

Starting with a time-0 coherent risk measure defined for “value processes”, we also define risk measurement processes. Two other constructions of measurement processes are given in terms of sets of test probabilities. These latter constructions are identical and are related to the former construction when the sets fulfill a stability condition also met in multiperiod treatment of ambiguity as i...

Evaluating risk measures, premiums, and capital allocation based on dependent multi-losses is a notoriously difficult task. In this paper, we demonstrate how this can be successfully accomplished when losses follow the multivariate Pareto distribution of the second kind, which is an attractive model for multi-losses whose dependence and tail heaviness are influenced by a heavy-tailed background...