Measuring risk contagion in financial networks with CoVaR

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Názov: Measuring risk contagion in financial networks with CoVaR
Autori: Das, Bikramjit, Fasen-Hartmann, Vicky
Zdroj: Finance and Stochastics. 29:707-755
Publication Status: Preprint
Informácie o vydavateľovi: Springer Science and Business Media LLC, 2025.
Rok vydania: 2025
Predmety: Bipartite graph, CoVaR, Financial network, ddc:330, Primary 62G32, 91G45, 91G70, Secondary 60G70, 62H05, Probability (math.PR), Copula models, D81, FOS: Economics and business, Gaussian copula, Risk Management (q-fin.RM), FOS: Mathematics, C13, G32, Heavy tails, Mathematics - Probability, Quantitative Finance - Risk Management
Popis: The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial institutions (e.g. banks, investment companies, insurance firms) on one side and financial assets on the other. Following empirical evidence, returns from such risky assets are modelled by heavy-tailed distributions, whereas their joint dependence is characterised by copula models exhibiting a variety of tail-dependence behaviour. We consider CoVaR, a popular measure of risk contagion, and study its asymptotic behaviour under broad model assumptions. We further propose the extreme CoVaR index (ECI) for capturing the strength of risk contagion between risk entities in such networks, which is particularly useful for models exhibiting asymptotic independence. The results are illustrated by providing precise expressions of CoVaR and ECI when the dependence of the assets is modelled using two well-known multivariate dependence structures: the Gaussian copula and the Marshall–Olkin copula.
Druh dokumentu: Article
Jazyk: English
ISSN: 1432-1122
0949-2984
DOI: 10.1007/s00780-025-00564-6
DOI: 10.5445/ir/1000183656
DOI: 10.48550/arxiv.2309.15511
Prístupová URL adresa: http://arxiv.org/abs/2309.15511
https://hdl.handle.net/10419/323275
Rights: CC BY
arXiv Non-Exclusive Distribution
Prístupové číslo: edsair.doi.dedup.....a3ad6b5fdcd3b0bee3d71d6e64d9070a
Databáza: OpenAIRE
Popis
Abstrakt:The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial institutions (e.g. banks, investment companies, insurance firms) on one side and financial assets on the other. Following empirical evidence, returns from such risky assets are modelled by heavy-tailed distributions, whereas their joint dependence is characterised by copula models exhibiting a variety of tail-dependence behaviour. We consider CoVaR, a popular measure of risk contagion, and study its asymptotic behaviour under broad model assumptions. We further propose the extreme CoVaR index (ECI) for capturing the strength of risk contagion between risk entities in such networks, which is particularly useful for models exhibiting asymptotic independence. The results are illustrated by providing precise expressions of CoVaR and ECI when the dependence of the assets is modelled using two well-known multivariate dependence structures: the Gaussian copula and the Marshall–Olkin copula.
ISSN:14321122
09492984
DOI:10.1007/s00780-025-00564-6