Congestion and cascades in payment systems
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.
|Date of creation:||2006|
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- Anna Nagurney & Ke Ke & Jose Cruz & Kitty Hancock & Frank Southworth, 2002. "Dynamics of supply chains: a multilevel (logistical – informational – financial) network perspective," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 29(6), pages 795-818, November.
- 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, issue Nov, pages 59-79.
- 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.
- Kimmo Soramaki & Morten L. Bech & Jeffrey Arnold & Robert J. Glass & Walter E. Beyeler, 2006. "The topology of interbank payment flows," Staff Reports 243, Federal Reserve Bank of New York.
- Bech, Morten L. & Garratt, Rod, 2003. "The intraday liquidity management game," Journal of Economic Theory, Elsevier, vol. 109(2), pages 198-219, April.
- Bech, Morten L. & Garratt, Rod, 2001. "The Intraday Liquidity Management Game," University of California at Santa Barbara, Economics Working Paper Series qt0m6035wg, Department of Economics, UC Santa Barbara.
- Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
- 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.
- Anna Nagurney & Jose Cruz, 2004. "Dynamics of international financial networks with risk management," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 276-291.
- 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)