# Spectral risk measures and uncertainty

**Authors:** Mohammed Berkhouch, Ghizlane Lakhnati, Marcelo Brutti Righi

arXiv: 1905.07716 · 2019-05-21

## TL;DR

This paper enhances risk assessment by adapting spectral risk measures within a robust framework and introduces a deviation-based method to quantify uncertainty, demonstrated through a NASDAQ index case study.

## Contribution

It proposes a novel robust framework for spectral risk measures and a deviation-based approach to quantify uncertainty in risk assessment.

## Key findings

- Robust spectral risk measures improve risk evaluation.
- Deviation-based uncertainty quantification provides new insights.
- Application to NASDAQ index illustrates practical utility.

## Abstract

Risk assessment under different possible scenarios is a source of uncertainty that may lead to concerning financial losses. We address this issue, first, by adapting a robust framework to the class of spectral risk measures. Second, we propose a Deviation-based approach to quantify uncertainty. Furthermore, the theory is illustrated with a practical case study from NASDAQ index.

## Full text

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## Figures

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## References

32 references — full list in the complete paper: https://tomesphere.com/paper/1905.07716/full.md

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Source: https://tomesphere.com/paper/1905.07716