Describing financial crisis propagation through epidemic modelling on multiplex networks

Author:

Bozhidarova Malvina1ORCID,Ball Frank1ORCID,van Gennip Yves2ORCID,O’Dea Reuben D.1ORCID,Stupfler Gilles3ORCID

Affiliation:

1. School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK

2. Delft Institute of Applied Mathematics (DIAM), Technische Universiteit Delft, Delft, The Netherlands

3. Univ Angers, CNRS, LAREMA, SFR MATHSTIC, 49000 Angers, France

Abstract

This paper proposes a novel framework for modelling the spread of financial crises in complex networks, combining financial data, Extreme Value Theory and an epidemiological transmission model. We accommodate two key aspects of contagion modelling: fundamentals-based contagion, where the transmission is due to direct financial linkages, and pure contagion, where a crisis might trigger additional crises due to global effects. We use stock price, geographical location and economic sector data for a set of 398 companies to construct multiplex networks of four layers, on which a susceptible-infected-recovered transmission model is defined, in order to model the spread of financial shocks between companies by accounting for their interconnected nature. By utilizing stock price data for the 2008 and 2020 financial crises, we investigate and assess the effectiveness of our model in forecasting the propagation of financial shocks through the network, where a shock is detected by measuring stock price volatility. The results suggest that the proposed framework is effective in predicting the spread of financial crises. Our findings demonstrate the significance of each layer of the multiplex network structure, which differentiates between various transmission pathways, for predicting the number of affected companies, as well as for company-, sector- or location-specific predictions.

Funder

European Union's Horizon 2020 research and innovation programme

AXA Research Fund Award

EPSRC

French National Research Agency

Publisher

The Royal Society

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