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Congestion and cascades in payment systems

Author

Listed:
  • Morten L. Bech
  • Walter E. Beyeler
  • Robert J. Glass
  • Kimmo Soramaki

Abstract

We develop a parsimonious model of the interbank payment system to study congestion and the role of liquidity markets in alleviating congestion. The model incorporates an endogenous instruction arrival process, scale-free topology of payments between banks, fixed total liquidity that 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 zero, the time for banks to exhaust their liquidity endowments, and the liquidity market relaxation time. In the congested regime, settlement takes place in cascades having a characteristic size. A global liquidity market substantially diminishes congestion, requiring only a small fraction of the payment-induced liquidity flow to achieve strong beneficial effects.

Suggested Citation

  • Morten L. Bech & Walter E. Beyeler & Robert J. Glass & Kimmo Soramaki, 2006. "Congestion and cascades in payment systems," Staff Reports 259, Federal Reserve Bank of New York.
    • Handle: RePEc:fip:fednsr:259
    Note: For a published version of this report, see Walter E. Beyeler, Robert J. Glass, Morten Bech, and Kimmo Soramäki, "Congestion and Cascades in Payment Systems," Physica A: Statistical Mechanics and Its Applications 384, no. 2 (October 2007): 693-718.
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    References listed on IDEAS

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    1. James J. McAndrews & Simon M. Potter, 2002. "Liquidity effects of the events of September 11, 2001," Economic Policy Review, Federal Reserve Bank of New York, vol. 8(Nov), pages 59-79.
    2. Soramäki, Kimmo & Bech, Morten L. & Arnold, Jeffrey & Glass, Robert J. & Beyeler, Walter E., 2007. "The topology of interbank payment flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 317-333.
    3. June Dong & Ding Zhang & Hong Yan & Anna Nagurney, 2005. "Multitiered Supply Chain Networks: Multicriteria Decision—Making Under Uncertainty," Annals of Operations Research, Springer, vol. 135(1), pages 155-178, March.
    4. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    5. Raymond K. Cheung & Warren B. Powell, 1996. "An Algorithm for Multistage Dynamic Networks with Random Arc Capacities, with an Application to Dynamic Fleet Management," Operations Research, INFORMS, vol. 44(6), pages 951-963, December.
    6. Hajime Inaoka & Takuto Ninomiya & Ken Taniguchi & Tokiko Shimizu & Hideki Takayasu, 2004. "Fractal Network derived from banking transaction -- An analysis of network structures formed by financial institutions --," Bank of Japan Working Paper Series 04-E-4, Bank of Japan.
    7. Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
    8. Anna Nagurney & Jon Loo & June Dong & Ding Zhang, 2002. "Supply Chain Networks and Electronic Commerce: A Theoretical Perspective," Netnomics, Springer, vol. 4(2), pages 187-220, November.
    9. Anna Nagurney & Jose Cruz, 2004. "Dynamics of international financial networks with risk management," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 276-291.
    10. Ponzi, A. & Aizawa, Y., 2000. "Evolutionary financial market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 507-523.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    network; topology; interbank; payment; money markets; 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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