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Clearing algorithms and network centrality

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  • Christoph Siebenbrunner

Abstract

I show that the solution of a standard clearing model commonly used in contagion analyses for financial systems can be expressed as a specific form of a generalized Katz centrality measure under conditions that correspond to a system-wide shock. This result provides a formal explanation for earlier empirical results which showed that Katz-type centrality measures are closely related to contagiousness. It also allows assessing the assumptions that one is making when using such centrality measures as systemic risk indicators. I conclude that these assumptions should be considered too strong and that, from a theoretical perspective, clearing models should be given preference over centrality measures in systemic risk analyses.

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  • Christoph Siebenbrunner, 2017. "Clearing algorithms and network centrality," Papers 1706.00284, arXiv.org.
  • Handle: RePEc:arx:papers:1706.00284
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    References listed on IDEAS

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    1. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Systemic Risk and Stability in Financial Networks," American Economic Review, American Economic Association, vol. 105(2), pages 564-608, February.
    2. Adrian Alter & Ben R. Craig & Peter Raupach, 2015. "Centrality-Based Capital Allocations," International Journal of Central Banking, International Journal of Central Banking, vol. 11(3), pages 329-377, June.
    3. Paolo Barucca & Marco Bardoscia & Fabio Caccioli & Marco D'Errico & Gabriele Visentin & Guido Caldarelli & Stefano Battiston, 2016. "Network Valuation in Financial Systems," Papers 1606.05164, arXiv.org, revised Jun 2020.
    4. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    5. Freixas, Xavier & Parigi, Bruno M & Rochet, Jean-Charles, 2000. "Systemic Risk, Interbank Relations, and Liquidity Provision by the Central Bank," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 611-638, August.
    6. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    7. Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
    8. Teruyoshi Kobayashi, 2013. "Network versus portfolio structure in financial systems," Papers 1308.0773, arXiv.org.
    9. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    10. Franklin Allen & Douglas Gale, 2000. "Financial Contagion," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 1-33, February.
    11. Glasserman, Paul & Young, H. Peyton, 2016. "Contagion in financial networks," LSE Research Online Documents on Economics 68681, London School of Economics and Political Science, LSE Library.
    12. Claus Puhr & Reinhardt Seliger & Michael Sigmund, 2012. "Contagiousness and Vulnerability in the Austrian Interbank Market," Financial Stability Report, Oesterreichische Nationalbank (Austrian Central Bank), issue 24, pages 62-78.
    13. Jean-Charles Rochet & Jean Tirole, 1996. "Interbank lending and systemic risk," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 733-765.
    14. Kartik Anand & Ben Craig & Goetz von Peter, 2015. "Filling in the blanks: network structure and interbank contagion," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 625-636, April.
    15. Iori, Giulia & Jafarey, Saqib & Padilla, Francisco G., 2006. "Systemic risk on the interbank market," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 525-542, December.
    16. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    17. Furfine, Craig H, 2003. "Interbank Exposures: Quantifying the Risk of Contagion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 111-128, February.
    18. Upper, Christian, 2011. "Simulation methods to assess the danger of contagion in interbank markets," Journal of Financial Stability, Elsevier, vol. 7(3), pages 111-125, August.
    19. L. C. G. Rogers & L. A. M. Veraart, 2013. "Failure and Rescue in an Interbank Network," Management Science, INFORMS, vol. 59(4), pages 882-898, April.
    20. Tom Fischer, 2014. "No-Arbitrage Pricing Under Systemic Risk: Accounting For Cross-Ownership," Mathematical Finance, Wiley Blackwell, vol. 24(1), pages 97-124, January.
    21. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
    22. Nobuhiro Kiyotaki & John Moore, 2002. "Balance-Sheet Contagion," American Economic Review, American Economic Association, vol. 92(2), pages 46-50, May.
    23. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    24. 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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    Cited by:

    1. Yongli Li & Guanghe Liu & Paolo Pin, 2018. "Network-based risk measurements for interbank systems," PLOS ONE, Public Library of Science, vol. 13(7), pages 1-18, July.
    2. Marco Bardoscia & Ginestra Bianconi & Gerardo Ferrara, 2019. "Multiplex network analysis of the UK over‐the‐counter derivatives market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 24(4), pages 1520-1544, October.

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