This article reviews two leading measures of financial risk and an emerging alternative. Embraced by the Basel accords …, value-at-risk and expected shortfall are the leading measures of financial risk. Expectiles offset the weaknesses of value-at-risk … (VaR) and expected shortfall. Indeed, expectiles are the only elicitable law-invariant coherent risk measures. After …

innovation lies in the integration of classical credibility theory with expected risk models, enhancing their stability and …Accurate risk assessment is crucial for predicting potential financial losses. This paper introduces an innovative … approach by employing expected risk models that utilize risk samples to capture comprehensive risk characteristics. The …

We introduce the regulatory arbitrage of risk measures, one of the key considerations in choosing a suitable risk … financial risk into several fragments, regulated via a risk measure separately. Coherent risk measures by definition are free of … regulatory arbitrage; dividing risks will not reduce the total capital requirement under a coherent risk measure. However, risk …

The paper proposes a new approach to model risk measurement based on the Wasserstein distance between two probability … measures. It formulates the theoretical motivation resulting from the interpretation of fictitious adversary of robust risk … nominal model. The Wasserstein approach suits for all types of model risk problems, ranging from the single-asset hedging risk …

When the uni-variate risk measure analysis is generalized into the multi-variate setting, many complex theoretical and … applied problems arise, and therefore the mathematical models used for risk quantification usually present model risk. As a … task, we propose a novel multi-variate risk measure, based on the notion of the Wasserstein barycenter. The proposed …

Evaluating risk measures, premiums, and capital allocation based on dependent multi-losses is a notoriously difficult … by a heavy-tailed background risk. A particular attention is given to the distortion and weighted risk measures and … allocations, as well as their special cases such as the conditional layer expectation, tail value at risk, and the truncated tail …

This study evaluates the sensitivity and robustness of the systemic risk measure, Conditional Value-at-Risk (CoVaR … the vine copula and APARCH-DCC in assessing portfolio systemic risk. This advanced approach provides nuanced insights into … strengthening risk management practices. Future research could explore the sensitivity of the CoVaR to diferent weighting schemes …

The Euler (or gradient) allocation technique defines a financial institution's marginal cost of a risk exposure via … calculation of the gradient of a risk measure evaluated at the institution's current portfolio position. The technique, however …, relies on an arbitrary selection of a risk measure. We reverse the sequence of this approach by calculating the marginal …