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Main Authors: Bonollo, Michele, Grasselli, Martino, Mori, Gianmarco, Oz, Havva Nilsu
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.21556
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author Bonollo, Michele
Grasselli, Martino
Mori, Gianmarco
Oz, Havva Nilsu
author_facet Bonollo, Michele
Grasselli, Martino
Mori, Gianmarco
Oz, Havva Nilsu
contents Despite decades of research in risk management, most of the literature has focused on scalar risk measures (like e.g. Value-at-Risk and Expected Shortfall). While such scalar measures provide compact and tractable summaries, they provide a poor informative value as they miss the intrinsic multivariate nature of risk.To contribute to a paradigmatic enhancement, and building on recent theoretical work by Faugeras and Pagés (2024), we propose a novel multivariate representation of risk that better reflects the structure of potential portfolio losses, while maintaining desirable properties of interpretability and analytical coherence. The proposed framework extends the classical frequency-severity approach and provides a more comprehensive characterization of extreme events. Several empirical applications based on real-world data demonstrate the feasibility, robustness and practical relevance of the methodology, suggesting its potential for both regulatory and managerial applications.
format Preprint
id arxiv_https___arxiv_org_abs_2511_21556
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Informative Risk Measures in the Banking Industry: A Proposal based on the Magnitude-Propensity Approach
Bonollo, Michele
Grasselli, Martino
Mori, Gianmarco
Oz, Havva Nilsu
Risk Management
Computational Finance
Despite decades of research in risk management, most of the literature has focused on scalar risk measures (like e.g. Value-at-Risk and Expected Shortfall). While such scalar measures provide compact and tractable summaries, they provide a poor informative value as they miss the intrinsic multivariate nature of risk.To contribute to a paradigmatic enhancement, and building on recent theoretical work by Faugeras and Pagés (2024), we propose a novel multivariate representation of risk that better reflects the structure of potential portfolio losses, while maintaining desirable properties of interpretability and analytical coherence. The proposed framework extends the classical frequency-severity approach and provides a more comprehensive characterization of extreme events. Several empirical applications based on real-world data demonstrate the feasibility, robustness and practical relevance of the methodology, suggesting its potential for both regulatory and managerial applications.
title Informative Risk Measures in the Banking Industry: A Proposal based on the Magnitude-Propensity Approach
topic Risk Management
Computational Finance
url https://arxiv.org/abs/2511.21556