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The hyperbolic geometry of financial networks

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  • Martin Keller-Ressel
  • Stephanie Nargang

Abstract

Based on data from the European banking stress tests of 2014, 2016 and the transparency exercise of 2018 we demonstrate for the first time that the latent geometry of financial networks can be well-represented by geometry of negative curvature, i.e., by hyperbolic geometry. This allows us to connect the network structure to the popularity-vs-similarity model of Papdopoulos et al., which is based on the Poincar\'e disc model of hyperbolic geometry. We show that the latent dimensions of `popularity' and `similarity' in this model are strongly associated to systemic importance and to geographic subdivisions of the banking system. In a longitudinal analysis over the time span from 2014 to 2018 we find that the systemic importance of individual banks has remained rather stable, while the peripheral community structure exhibits more (but still moderate) variability.

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  • Martin Keller-Ressel & Stephanie Nargang, 2020. "The hyperbolic geometry of financial networks," Papers 2005.00399, arXiv.org, revised May 2020.
    • Handle: RePEc:arx:papers:2005.00399
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    References listed on IDEAS

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    1. Rama Cont & Lakshithe Wagalath, 2016. "Fire Sales Forensics: Measuring Endogenous Risk," Mathematical Finance, Wiley Blackwell, vol. 26(4), pages 835-866, October.
    2. Shleifer, Andrei & Vishny, Robert W, 1992. "Liquidation Values and Debt Capacity: A Market Equilibrium Approach," Journal of Finance, American Finance Association, vol. 47(4), pages 1343-1366, September.
    3. Albert-László Barabási, 2012. "Luck or reason," Nature, Nature, vol. 489(7417), pages 507-508, September.
    4. Fragkiskos Papadopoulos & Maksim Kitsak & M. Ángeles Serrano & Marián Boguñá & Dmitri Krioukov, 2012. "Popularity versus similarity in growing networks," Nature, Nature, vol. 489(7417), pages 537-540, September.
    5. 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.
    6. Rama Cont & Lakshithe Wagalath, 2012. "Fire Sales Forensics: Measuring Endogenous Risk," Working Papers hal-00697224, HAL.
    7. Caccioli, Fabio & Farmer, J. Doyne & Foti, Nick & Rockmore, Daniel, 2015. "Overlapping portfolios, contagion, and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 50-63.
    8. Kenneth R. French & Martin N. Baily & John Y. Campbell & John H. Cochrane & Douglas W. Diamond & Darrell Duffie & Anil K Kashyap & Frederic S. Mishkin & Raghuram G. Rajan & David S. Scharfstein & Robe, 2010. "The Squam Lake Report: Fixing the Financial System," Economics Books, Princeton University Press, edition 1, number 9261.
    9. Sam Langfield & Zijun Liu & Tomohiro Ota, 2014. "Mapping the UK interbank system," Bank of England working papers 516, Bank of England.
    10. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    11. Edson Bastos Santos & Rama Cont, 2010. "The Brazilian Interbank Network Structure and Systemic Risk," Working Papers Series 219, Central Bank of Brazil, Research Department.
    12. Martin Brown & Stefan T. Trautmann & Razvan Vlahu, 2017. "Understanding Bank-Run Contagion," Management Science, INFORMS, vol. 63(7), pages 2272-2282, July.
    13. Rama Cont & Eric Schaanning, 2017. "Fire sales, indirect contagion and systemic stress testing," Working Paper 2017/2, Norges Bank.
    14. Rama Cont & Lakshithe Wagalath, 2016. "Fire Sales Forensics: Measuring Endogenous Risk," Post-Print hal-03003955, HAL.
    15. Alessandro Muscoloni & Josephine Maria Thomas & Sara Ciucci & Ginestra Bianconi & Carlo Vittorio Cannistraci, 2017. "Machine learning meets complex networks via coalescent embedding in the hyperbolic space," Nature Communications, Nature, vol. 8(1), pages 1-19, December.
    16. 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.
    17. Langfield, Sam & Liu, Zijun & Ota, Tomohiro, 2014. "Mapping the UK interbank system," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 288-303.
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