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Emergence of a Core-Periphery Structure in a Simple Dynamic Model of the Interbank Market

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  • Lux, Thomas

Abstract

This paper studies a simple dynamic model of interbank credit relationships. Starting from a given balance sheet structure of a banking system with a realistic distribution of bank sizes, the necessity of establishing interbank credit connections 3merges from idiosyncratic liquidity shocks. Banks initially choose potential trading partners randomly, but form preferential relationships via an elementary reinforcement learning algorithm. As it turns out, the dynamic evolution of this system displays a formation of a core-periphery structure with mainly the largest banks assuming the roles of money center banks mediating between the liquidity needs of many smaller banks. Statistical analysis shows that this evolving interbank market shares virtually all of the salient characteristics of interbank credit relationship that have been put forthin recent literature. Preferential interest rates for borrowers with strong attachment to a lender may prevent the system from becoming extortionary and guarantee the survival of the small peripherical banks.

Suggested Citation

  • Lux, Thomas, 2014. "Emergence of a Core-Periphery Structure in a Simple Dynamic Model of the Interbank Market," FinMaP-Working Papers 3, Collaborative EU Project FinMaP - Financial Distortions and Macroeconomic Performance: Expectations, Constraints and Interaction of Agents.
  • Handle: RePEc:zbw:fmpwps:3
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    References listed on IDEAS

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    1. 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.
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    3. Grzegorz Haᴌaj & Christoffer Kok, 2015. "Modelling the emergence of the interbank networks," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 653-671, April.
    4. 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.
    5. Craig, Ben & von Peter, Goetz, 2014. "Interbank tiering and money center banks," Journal of Financial Intermediation, Elsevier, vol. 23(3), pages 322-347.
    6. Hubert P. Janicki & Edward Simpson Prescott, 2006. "Changes in the size distribution of U.S. banks: 1960-2005," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 92(Fall), pages 291-316.
    7. Cocco, João F. & Gomes, Francisco J. & Martins, Nuno C., 2009. "Lending relationships in the interbank market," Journal of Financial Intermediation, Elsevier, vol. 18(1), pages 24-48, January.
    8. HyunSong Shin, 2009. "Securitisation and Financial Stability," Economic Journal, Royal Economic Society, vol. 119(536), pages 309-332, March.
    9. 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.
    10. Huberto M. Ennis, 2001. "On the size distribution of banks," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 1-25.
    11. Fricke, Daniel & Lux, Thomas, 2012. "Core-periphery structure in the overnight money market: Evidence from the e-MID trading platform," Kiel Working Papers 1759, Kiel Institute for the World Economy (IfW).
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    13. Fricke, Daniel & Finger, Karl & Lux, Thomas, 2013. "On assortative and disassortative mixing in scale-free networks: The case of interbank credit networks," Kiel Working Papers 1830, Kiel Institute for the World Economy (IfW).
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    Cited by:

    1. Cheng, Xian & Zhao, Haichuan, 2019. "Modeling, analysis and mitigation of contagion in financial systems," Economic Modelling, Elsevier, vol. 76(C), pages 281-292.
    2. Hüser, Anne-Caroline & Hałaj, Grzegorz & Kok, Christoffer & Perales, Cristian & van der Kraaij, Anton, 2018. "The systemic implications of bail-in: A multi-layered network approach," Journal of Financial Stability, Elsevier, vol. 38(C), pages 81-97.
    3. Hüser, Anne-Caroline, 2016. "Too interconnected to fail: A survey of the Interbank Networks literature," SAFE Working Paper Series 91, Leibniz Institute for Financial Research SAFE.

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    More about this item

    Keywords

    liquidity; interbank market; network formation;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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