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Liquidity in Financial Networks

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  • Hitoshi Hayakawa

    (Hokkaido University)

Abstract

This study investigates the amount of liquidity that is necessary to settle a given network of financial obligations. In our analysis, we assume sequential settlement, which is standard in real-world interbank settlement systems, instead of simultaneous settlement, which is typically assumed in relevant research. We develop a graph-theoretic model and apply a flow network technique to investigate how the interconnected feature could affect the required liquidity. Our main contribution is to show that the effect of the interconnected feature is characterized with our original concepts regarding “twist” properties—arc-twisted and vertex-twisted—that are defined on the basis of the concept of “cycles.” Each of the “twist” properties refers to certain inconsistency in the dynamics of settlements. The characterization provides a consistent and fundamental perspective of how a hub or other network structures affect the required liquidity. We further investigate the quantitative implications of the “twist” properties for real-world networks of obligations by examining networks with clustered structures and small-world structures. We show that “twist” properties have non-linear effects on the required liquidity against an increase in the amount of obligations.

Suggested Citation

  • Hitoshi Hayakawa, 2020. "Liquidity in Financial Networks," Computational Economics, Springer;Society for Computational Economics, vol. 55(1), pages 253-301, January.
    • Handle: RePEc:kap:compec:v:55:y:2020:i:1:d:10.1007_s10614-019-09895-x
    DOI: 10.1007/s10614-019-09895-x
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    as
    1. Martin, Antoine & McAndrews, James, 2008. "Liquidity-saving mechanisms," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 554-567, April.
    2. 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.
    3. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Gourieroux, C. & Heam, J.C. & Monfort, A., 2013. "Liquidation equilibrium with seniority and hidden CDO," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5261-5274.
    9. Lagunoff, Roger & Schreft, Stacey L., 2001. "A Model of Financial Fragility," Journal of Economic Theory, Elsevier, vol. 99(1-2), pages 220-264, July.
    10. Julio J. Rotemberg, 2011. "Minimal Settlement Assets in Economies with Interconnected Financial Obligations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(1), pages 81-108, February.
    11. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    12. Allen, Franklin & Babus, Ana & Carletti, Elena, 2010. "Financial Connections and Systemic Risk," Working Papers 10-20, University of Pennsylvania, Wharton School, Weiss Center.
    13. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
    14. Antoine Martin & James J. McAndrews, 2008. "An economic analysis of liquidity-saving mechanisms," Economic Policy Review, Federal Reserve Bank of New York, vol. 14(Sep), pages 25-39.
    15. Martin, Antoine & McAndrews, James, 2010. "A study of competing designs for a liquidity-saving mechanism," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1818-1826, August.
    16. Paolo Tasca & Stefano Battiston, "undated". "Diversification and Financial Stability," Working Papers CCSS-11-001, ETH Zurich, Chair of Systems Design.
    17. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    18. Hitoshi Hayakawa, 2014. "Complexity of Payment Network," CARF F-Series CARF-F-345, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    19. Rodrigo Cifuentes & Hyun Song Shin & Gianluigi Ferrucci, 2005. "Liquidity Risk and Contagion," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 556-566, 04/05.
    20. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    21. Castiglionesi, F. & Navarro, N., 2007. "Optimal Fragile Financial Networks," Other publications TiSEM ba4eec21-b8d3-4eb3-9cca-4, Tilburg University, School of Economics and Management.
    22. Ricardo J. Caballero & Alp Simsek, 2009. "Complexity and Financial Panics," NBER Working Papers 14997, National Bureau of Economic Research, Inc.
    23. repec:dau:papers:123456789/14977 is not listed on IDEAS
    24. Adam Zawadowski, 2013. "Entangled Financial Systems," The Review of Financial Studies, Society for Financial Studies, vol. 26(5), pages 1291-1323.
    25. 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.
    26. 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.
    27. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    28. Enghin Atalay & Antoine Martin & James J. McAndrews, 2008. "The welfare effects of a liquidity-saving mechanism," Staff Reports 331, Federal Reserve Bank of New York.
    29. Battiston, Stefano & Gatti, Domenico Delli & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Default cascades: When does risk diversification increase stability?," Journal of Financial Stability, Elsevier, vol. 8(3), pages 138-149.
    30. Fabio Castiglionesi, 2008. "Optimal Fragile Financial Networks," 2008 Meeting Papers 658, Society for Economic Dynamics.
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