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Congestion and cascades in payment systems

Author

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  • Beyeler, Walter E.
  • Glass, Robert J.
  • Bech, Morten L.
  • Soramäki, Kimmo

Abstract

We develop a parsimonious model of the interbank payment system. The model incorporates an endogenous instruction arrival process, a scale-free topology of payments between banks, a fixed total liquidity which limits banks’ capacity to process arriving instructions, and a global market that distributes liquidity. We find that at low liquidity the system becomes congested and payment settlement loses correlation with payment instruction arrival, becoming coupled across the network. The onset of congestion is evidently related to the relative values of three characteristic times: the time for banks’ net position to return to 0, the time for a bank to exhaust its liquidity endowment, and the liquidity market relaxation time. In the congested regime settlement takes place in cascades having a characteristic length scale. A global liquidity market substantially attenuates congestion, requiring only a small fraction of the payment-induced liquidity flow to achieve strong beneficial effects.

Suggested Citation

  • Beyeler, Walter E. & Glass, Robert J. & Bech, Morten L. & Soramäki, Kimmo, 2007. "Congestion and cascades in payment systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 693-718.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:693-718
    DOI: 10.1016/j.physa.2007.05.061
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    Cited by:

    1. Leinonen, Harry (ed.), 2009. "Simulation analyses and stress testing of payment networks," Bank of Finland Scientific Monographs, Bank of Finland, volume 0, number sm2009_042, July.
    2. Galbiati, Marco & Soramäki, Kimmo, 2011. "An agent-based model of payment systems," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 859-875, June.
    3. Leinonen, Harry, 2009. "Simulation analyses and stress testing of payment networks," Scientific Monographs, Bank of Finland, number 2009_042.
    4. Carlos León & Jhonatan Pérez & Luc Renneboog, 2014. "A multi-layer network of the sovereign securities market," Borradores de Economia 12036, Banco de la Republica.
    5. repec:zbw:bofism:2009_042 is not listed on IDEAS
    6. Galbiati, Marco & Soramaki, Kimmo, 2010. "Liquidity-saving mechanisms and bank behaviour," Bank of England working papers 400, Bank of England.
    7. Maeno, Yoshiharu, 2013. "Transient fluctuation of the prosperity of firms in a network economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3351-3359.
    8. Dieter Gramlich & Mikhail V. Oet & Stephen J. Ong, 2013. "Policy in adaptive financial markets—the use of systemic risk early warning tools," Working Papers (Old Series) 1309, Federal Reserve Bank of Cleveland.
    9. Denbee, Edward & Norman, Ben, 2010. "The impact of payment splitting on liquidity requirements in RTGS," Bank of England working papers 404, Bank of England.
    10. Li, Fuchun & Perez-Saiz, Hector, 2018. "Measuring systemic risk across financial market infrastructures," Journal of Financial Stability, Elsevier, vol. 34(C), pages 1-11.
    11. Huberto M. Ennis & John A. Weinberg, 2007. "Interest on reserves and daylight credit," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 93(Spr), pages 111-142.
    12. Soramäki, Kimmo & Cook, Samantha, 2012. "Algorithm for identifying systemically important banks in payment systems," Economics Discussion Papers 2012-43, Kiel Institute for the World Economy (IfW Kiel).
    13. Fuchun Li & Héctor Pérez Saiz, 2016. "Measuring Systemic Risk Across Financial Market Infrastructures," Staff Working Papers 16-10, Bank of Canada.
    14. Norman, Ben, 2010. "Financial Stability Paper No 7: Liquidity Saving in Real-Time Gross Settlement Systems - an Overview," Bank of England Financial Stability Papers 7, Bank of England.
    15. Olivier Armantier & Jeffrey Arnold & James J. McAndrews, 2008. "Changes in the timing distribution of Fedwire funds transfers," Economic Policy Review, Federal Reserve Bank of New York, vol. 14(Sep), pages 83-112.
    16. León, Carlos & Berndsen, Ron J., 2014. "Rethinking financial stability: Challenges arising from financial networks’ modular scale-free architecture," Journal of Financial Stability, Elsevier, vol. 15(C), pages 241-256.
    17. León, C., 2015. "Financial stability from a network perspective," Other publications TiSEM bb2e4e44-e842-45c6-a946-4, Tilburg University, School of Economics and Management.
    18. De Caux, Robert & Brede, Markus & McGroarty, Frank, 2016. "Payment prioritisation and liquidity risk in collateralised interbank payment systems," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 41(C), pages 139-150.
    19. Massimiliano Zanin & David Papo & Miguel Romance & Regino Criado & Santiago Moral, 2016. "The topology of card transaction money flows," Papers 1605.04938, arXiv.org.
    20. Marina Resta, 2016. "Enhancing Self‐Organizing Map Capabilities with Graph Clustering: An Application to Financial Markets," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 23(1-2), pages 21-46, January.
    21. Perlin, Marcelo & Schanz, Jochen, 2011. "System-wide liquidity risk in the United Kingdom’s large-value payment system: an empirical analysis," Bank of England working papers 427, Bank of England.
    22. 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.
    23. Ball, Alan & Denbee, Edward & Manning, Mark & Wetherilt, Anne, 2011. "Financial Stability Paper No 11: Intraday Liquidity - Risk and Regulation," Bank of England Financial Stability Papers 11, Bank of England.
    24. Soramäki, Kimmo & Cook, Samantha, 2013. "SinkRank: An algorithm for identifying systemically important banks in payment systems," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 7, pages 1-27.
    25. Kei Imakubo & Yutaka Soejima, 2010. "The Microstructure of Japan's Interbank Money Market: Simulating Contagion of Intraday Flow of Funds Using BOJ-NET Payment Data," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 28, pages 151-180, November.

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    More about this item

    Keywords

    Network; Topology; Interbank; Payment; Money market; Sandpile model; Congestion;
    All these keywords.

    JEL classification:

    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • G20 - Financial Economics - - Financial Institutions and Services - - - General

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