IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v55y2020i1d10.1007_s10614-019-09895-x.html
   My bibliography  Save this article

Liquidity in Financial Networks

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10614-019-09895-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10614-019-09895-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. George Halkos & Shunsuke Managi & Kyriaki Tsilika, 2021. "Ranking Countries and Geographical Regions in the International Green Bond Transfer Network: A Computational Weighted Network Approach," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1301-1346, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    2. Paul Glasserman & H. Peyton Young, 2015. "Contagion in Financial Markets," Working Papers 15-21, Office of Financial Research, US Department of the Treasury.
    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, revised 2016.
    4. Andre R. Neveu, 2018. "A survey of network-based analysis and systemic risk measurement," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(2), pages 241-281, July.
    5. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    6. Jose Arreola Hernandez & Sang Hoon Kang & Ron P. McIver & Seong-Min Yoon, 2021. "Network Interdependence and Optimization of Bank Portfolios from Developed and Emerging Asia Pacific Countries," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 28(4), pages 613-647, December.
    7. 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.
    8. Covi, Giovanni & Gorpe, Mehmet Ziya & Kok, Christoffer, 2021. "CoMap: Mapping Contagion in the Euro Area Banking Sector," Journal of Financial Stability, Elsevier, vol. 53(C).
    9. Bardoscia, Marco & Barucca, Paolo & Codd, Adam Brinley & Hill, John, 2019. "Forward-looking solvency contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    10. Carlos Ramírez, 2019. "Regulating Financial Networks Under Uncertainty," Finance and Economics Discussion Series 2019-056, Board of Governors of the Federal Reserve System (U.S.).
    11. Jiajia, Liu & Kun, Guo & Fangcheng, Tang & Yahan, Wang & Shouyang, Wang, 2023. "The effect of the disposal of non-performing loans on interbank liquidity risk in China: A cash flow network-based analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 89(C), pages 105-119.
    12. Teteryatnikova, Mariya, 2014. "Systemic risk in banking networks: Advantages of “tiered” banking systems," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 186-210.
    13. EDOARDO GAFFEO & Lucio Gobbi & Massimo Molinari, 2018. "Bilateral netting and systemic liquidity shortages in banking networks," DEM Working Papers 2018/06, Department of Economics and Management.
    14. Alessandro Ferracci & Giulio Cimini, 2021. "Systemic risk in interbank networks: disentangling balance sheets and network effects," Papers 2109.14360, arXiv.org, revised Sep 2022.
    15. Navarro, Noemí & Tran, Dan H., 2018. "Shock Diffusion in Regular Networks: The Role of Transitive Cycles," MPRA Paper 86267, University Library of Munich, Germany.
    16. Bardoscia, Marco & Barucca, Paolo & Brinley Codd, Adam & Hill, John, 2017. "The decline of solvency contagion risk," Bank of England working papers 662, Bank of England.
    17. Pablo Rovira Kaltwasser & Alessandro Spelta, 2019. "Identifying systemically important financial institutions: a network approach," Computational Management Science, Springer, vol. 16(1), pages 155-185, February.
    18. Brandi, Giuseppe & Di Clemente, Riccardo & Cimini, Giulio, 2018. "Epidemics of liquidity shortages in interbank markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 255-267.
    19. Ramírez, Carlos, 2020. "Regulating financial networks under uncertainty," ESRB Working Paper Series 107, European Systemic Risk Board.
    20. Aikman, David & Beale, Daniel & Brinley-Codd, Adam & Covi, Giovanni & Hüser, Anne‑Caroline & Lepore, Caterina, 2023. "Macroprudential stress‑test models: a survey," Bank of England working papers 1037, Bank of England.

    More about this item

    Keywords

    Financial crisis; Bank; Modeling;
    All these keywords.

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:55:y:2020:i:1:d:10.1007_s10614-019-09895-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.