Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit … it. One of them is the existence of systemic risk that affects all of the policies at the same time. We introduce here a … probabilistic approach to examine the consequences of its presence on the risk loading of the premium of a portfolio of insurance …

In this paper, we propose a novel framework for estimating systemic risk measures and risk allocations based on Markov … Chain Monte Carlo (MCMC) methods. We consider a class of allocations whose jth component can be written as some risk measure … intersection of linear constraints, this class of allocations covers, for example, conditional Value-at-Risk (CoVaR), conditional …

can grasp concepts from quantitative risk management. To this end, we enter a scholarly discussion with ChatGPT in the … courses on quantitative risk management, and address risk in general, risk measures, time series, extremes and dependence. As … a result, the non-technical aspects of risk (such as explanations of various types of financial risk, the driving …

Portfolio credit risk is often concerned with the tail distribution of the total loss, defined to be the sum of default … also discuss estimates for Value-at-Risk, and observe that our results may be extended to cases where the number of factors …

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 …

The aim of this work is to introduce an innovative methodology for performing risk attribution within a multifactor … risk framework. We applied this analysis to the assessment of systemic, climate, and geopolitical risks relative to a … the combined risk to each factor and to the effect of their interaction by employing our proposed frequency-based approach …

How can risk of a company be allocated to its divisions and attributed to risk factors? The Euler principle allows for … an economically justified allocation of risk to different divisions. We introduce a method that generalizes the Euler … principle to attribute risk to its driving factors when these factors affect losses in a nonlinear way. The method splits loss …

twofold: to define risk-based capital measures able to absorb the effects of financial distress and avoid corporate default … on insolvency risk will be defined by recalling the concepts of Cash Flow-at-Risk and Capital-at-Risk. A first check on … the usefulness of these risk-based measures and their consistency with the principle of value maximization is carried out …

This paper uses three methodologies for measuring the existence of systemic risk in the Colombian banking system. The … determination of its existence is based on implementing three systemic risk measures widely referenced in academic works after the … systemic risk scenario, despite having suffered economic losses due to external shocks, mainly due to the subprime crisis. The …

Recent crises in the financial industry have shown weaknesses in the modeling of Risk-Weighted Assets (RWAs …). Relatively minor model changes may lead to substantial changes in the RWA numbers. Similar problems are encountered in the Value-at-Risk …