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Contagion Flow Through Banking Networks

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  • Michael Boss
  • Martin Summer
  • Stefan Thurner

Abstract

Based on an empirical analysis of the network structure of the Austrian inter-bank market, we study the flow of funds through the banking network following exogenous shocks to the system. These shocks are implemented by stochastic changes in variables like interest rates, exchange rates, etc. We demonstrate that the system is relatively stable in the sence that defaults of individual banks are unlikely to spread over the entire network. We study the contagion impact of all individual banks, meaning the number of banks which are driven into insolvency as a result of a single bank's default. We show that the vertex betweenness of individual banks is linearly related to their contagion impact.

Suggested Citation

  • Michael Boss & Martin Summer & Stefan Thurner, 2004. "Contagion Flow Through Banking Networks," Papers cond-mat/0403167, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0403167
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    References listed on IDEAS

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    1. De Bandt, Olivier & Hartmann, Philipp, 2000. "Systemic risk: A survey," Working Paper Series 35, European Central Bank.
    2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
    3. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    4. Martin Summer, 2003. "Banking Regulation and Systemic Risk," Open Economies Review, Springer, vol. 14(1), pages 43-70, January.
    5. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    6. Stefan Thurner & Rudolf Hanel & Stefan Pichler, 2003. "Risk trading, network topology and banking regulation," Quantitative Finance, Taylor & Francis Journals, vol. 3(4), pages 306-319.
    7. repec:onb:oenbwp:y::i:79:b:1 is not listed on IDEAS
    8. Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 677-684.
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    Citations

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    Cited by:

    1. Poledna, Sebastian & Molina-Borboa, José Luis & Martínez-Jaramillo, Serafín & van der Leij, Marco & Thurner, Stefan, 2015. "The multi-layer network nature of systemic risk and its implications for the costs of financial crises," Journal of Financial Stability, Elsevier, vol. 20(C), pages 70-81.
    2. Tabak, Benjamin M. & Luduvice, André Victor D. & Cajueiro, Daniel O., 2011. "Modeling default probabilities: The case of Brazil," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 21(4), pages 513-534, October.
    3. Diem, Christian & Pichler, Anton & Thurner, Stefan, 2020. "What is the minimal systemic risk in financial exposure networks?," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    4. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
    5. Teteryatnikova, Mariya, 2014. "Systemic risk in banking networks: Advantages of “tiered” banking systems," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 186-210.
    6. S Battiston & G di Iasio & L Infante & F Pierobon, 2015. "Capital and contagion in financial networks," IFC Bulletins chapters, in: Bank for International Settlements (ed.), Indicators to support monetary and financial stability analysis: data sources and statistical methodologies, volume 39, Bank for International Settlements.
    7. Zhang, Yongjie & Cao, Xing & He, Feng & Zhang, Wei, 2017. "Network topology analysis approach on China’s QFII stock investment behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 77-88.
    8. Gabriele Tedeschi & Amin Mazloumian & Mauro Gallegati & Dirk Helbing, 2012. "Bankruptcy Cascades in Interbank Markets," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-10, December.
    9. Poledna, Sebastian & Martínez-Jaramillo, Serafín & Caccioli, Fabio & Thurner, Stefan, 2021. "Quantification of systemic risk from overlapping portfolios in the financial system," Journal of Financial Stability, Elsevier, vol. 52(C).
    10. Cajueiro, Daniel O. & Tabak, Benjamin M., 2008. "The role of banks in the Brazilian interbank market: Does bank type matter?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6825-6836.
    11. Souza, Sergio R.S. & Tabak, Benjamin M. & Silva, Thiago C. & Guerra, Solange M., 2015. "Insolvency and contagion in the Brazilian interbank market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 140-151.
    12. William Schueller & Christian Diem & Melanie Hinterplattner & Johannes Stangl & Beate Conrady & Markus Gerschberger & Stefan Thurner, 2022. "Propagation of disruptions in supply networks of essential goods: A population-centered perspective of systemic risk," Papers 2201.13325, arXiv.org.
    13. Shin, Hyun Song, 2008. "Risk and liquidity in a system context," Journal of Financial Intermediation, Elsevier, vol. 17(3), pages 315-329, July.
    14. Krause, Andreas & Giansante, Simone, 2012. "Interbank lending and the spread of bank failures: A network model of systemic risk," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 583-608.
    15. Sebastian Poledna & Abraham Hinteregger & Stefan Thurner, 2018. "Identifying systemically important companies in the entire liability network of a small open economy," Papers 1801.10487, arXiv.org.
    16. Abduraimova, Kumushoy & Nahai-Williamson, Paul, 2021. "Solvency distress contagion risk: network structure, bank heterogeneity and systemic resilience," Bank of England working papers 909, Bank of England.
    17. N. Foti & S. Pauls & Daniel N. Rockmore, 2011. "Stability of the World Trade Web over Time - An Extinction Analysis," Papers 1104.4380, arXiv.org, revised May 2011.
    18. Stiglitz Joseph E., 2010. "Contagion, Liberalization, and the Optimal Structure of Globalization," Journal of Globalization and Development, De Gruyter, vol. 1(2), pages 1-47, December.
    19. Joseph E Stiglitz & Mauro Gallegati, 2011. "Heterogeneous Interacting Agent Models for Understanding Monetary Economies," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 37(1), pages 6-12.
    20. Julien Barre & Alain Raybaut & Dominique Torre, 2012. "Banks Connectivity, Credit Risk Transfer and Stability of the Banking System," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 55(1), pages 75-96.
    21. Mariya Teteryatnikova, 2010. "Resilience of the Interbank Network to Shocks and Optimal Bail-Out Strategy: Advantages of "Tiered" Banking Systems," Vienna Economics Papers 1007, University of Vienna, Department of Economics.
    22. Battiston, Stefano & Gatti, Domenico Delli & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Default cascades: When does risk diversification increase stability?," Journal of Financial Stability, Elsevier, vol. 8(3), pages 138-149.
    23. Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 677-684.
    24. Foti, Nicholas J. & Pauls, Scott & Rockmore, Daniel N., 2013. "Stability of the World Trade Web over time – An extinction analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1889-1910.
    25. Mariya Teteryatnikova, 2010. "Resilience of the Interbank Network to Shocks and Optimal Bail-Out Strategy: Advantages of "Tiered" Banking Systems," Vienna Economics Papers 1007, University of Vienna, Department of Economics.

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