IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1705.05943.html
   My bibliography  Save this paper

Banks as Tanks: A Continuous-Time Model of Financial Clearing

Author

Listed:
  • Isaac M. Sonin
  • Konstantin Sonin

Abstract

We present a simple continuous-time model of clearing in financial networks. Financial firms are represented as "tanks" filled with fluid (money), flowing in and out. Once "pipes" connecting "tanks" are open, the system reaches the clearing payment vector in finite time. This approach provides a simple recursive solution to a classical static model of financial clearing in bankruptcy, and suggests a practical payment mechanism. With sufficient resources, a system of mutual obligations can be restructured into an equivalent system that has a cascade structure: there is a group of banks that paid off their debts, another group that owes money only to banks in the first group, and so on. Technically, we use the machinery of Markov chains to analyze evolution of a deterministic dynamical system.

Suggested Citation

  • Isaac M. Sonin & Konstantin Sonin, 2017. "Banks as Tanks: A Continuous-Time Model of Financial Clearing," Papers 1705.05943, arXiv.org, revised Jul 2020.
    • Handle: RePEc:arx:papers:1705.05943
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1705.05943
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuri Kabanov & Robert Liptser, 2006. "From Stochastic Calculus to Mathematical Finance. The Shiryaev Festschrift," Post-Print hal-00488295, HAL.
    2. 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.
    3. Sonin, Isaac M., 2008. "A generalized Gittins index for a Markov chain and its recursive calculation," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1526-1533, September.
    4. Janet L. Yellen, 2013. "Interconnectedness and Systemic Risk: Lessons from the Financial Crisis and Policy Implications : a speech at the American Economic Association/American Finance Association Joint Luncheon, San Diego, ," Speech 631, Board of Governors of the Federal Reserve System (U.S.).
    5. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    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. Zachary Feinstein & Andreas Sojmark, 2019. "A Dynamic Default Contagion Model: From Eisenberg-Noe to the Mean Field," Papers 1912.08695, arXiv.org.
    2. Zachary Feinstein & Andreas Sojmark, 2020. "Dynamic Default Contagion in Heterogeneous Interbank Systems," Papers 2010.15254, arXiv.org, revised Jul 2021.
    3. Hong Chen & Tan Wang & David D. Yao, 2021. "Financial Network and Systemic Risk—A Dynamic Model," Production and Operations Management, Production and Operations Management Society, vol. 30(8), pages 2441-2466, August.
    4. Zhiyu Cao & Zachary Feinstein, 2023. "Price-mediated contagion with endogenous market liquidity," Papers 2311.05977, arXiv.org.

    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. Alessandro Ferracci & Giulio Cimini, 2021. "Systemic risk in interbank networks: disentangling balance sheets and network effects," Papers 2109.14360, arXiv.org, revised Sep 2022.
    2. Roukny, Tarik & Battiston, Stefano & Stiglitz, Joseph E., 2018. "Interconnectedness as a source of uncertainty in systemic risk," Journal of Financial Stability, Elsevier, vol. 35(C), pages 93-106.
    3. Giulio Bottazzi & Alessandro De Sanctis & Fabio Vanni, 2016. "Non-performing loans, systemic risk and resilience in financial networks," LEM Papers Series 2016/08, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    4. Accominotti, Olivier & Lucena-Piquero, Delio & Ugolini, Stefano, 2023. "Intermediaries’ substitutability and financial network resilience: A hyperstructure approach," Journal of Economic Dynamics and Control, Elsevier, vol. 153(C).
    5. Jean-Luc Gaffard & Mauro Napoletano, 2018. "Hétérogénéité des agents, interconnexions financières et politique monétaire : une approche non conventionnelle," Revue française d'économie, Presses de Sciences-Po, vol. 0(3), pages 201-231.
    6. Nicolas Houy & Frédéric Jouneau & François Le Grand, 2020. "Defaulting firms and systemic risks in financial networks: a normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 503-526, September.
    7. Wiersema, Garbrand & Kleinnijenhuis, Alissa M. & Wetzer, Thom & Farmer, J. Doyne, 2023. "Scenario-free analysis of financial stability with interacting contagion channels," Journal of Banking & Finance, Elsevier, vol. 146(C).
    8. Chang, Jin-Wook, 2021. "Contagion in Debt and Collateral Markets," MPRA Paper 111131, University Library of Munich, Germany.
    9. Kanno, Masayasu, 2020. "Interconnectedness and systemic risk in the US CDS market," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    10. Matthew O. Jackson & Agathe Pernoud, 2020. "Credit Freezes, Equilibrium Multiplicity, and Optimal Bailouts in Financial Networks," Papers 2012.12861, arXiv.org, revised Jul 2023.
    11. D’Errico, Marco & Battiston, Stefano & Peltonen, Tuomas & Scheicher, Martin, 2018. "How does risk flow in the credit default swap market?," Journal of Financial Stability, Elsevier, vol. 35(C), pages 53-74.
    12. Maryam Farboodi, 2014. "Intermediation and Voluntary Exposure to Counterparty Risk," 2014 Meeting Papers 365, Society for Economic Dynamics.
    13. Kerstin Awiszus & Agostino Capponi & Stefan Weber, 2020. "Market Efficient Portfolios in a Systemic Economy," Papers 2003.10121, arXiv.org, revised May 2021.
    14. Asako Chiba, 2020. "Financial Contagion in Core–Periphery Networks and Real Economy," Computational Economics, Springer;Society for Computational Economics, vol. 55(3), pages 779-800, March.
    15. Gerardo Ferrara & Sam Langfield & Zijun Liu & Tomohiro Ota, 2019. "Systemic illiquidity in the interbank network," Quantitative Finance, Taylor & Francis Journals, vol. 19(11), pages 1779-1795, November.
    16. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    17. Luu, Duc Thi & Napoletano, Mauro & Barucca, Paolo & Battiston, Stefano, 2021. "Collateral Unchained: Rehypothecation networks, concentration and systemic effects," Journal of Financial Stability, Elsevier, vol. 52(C).
    18. Arun Chandrasekhar & Robert Townsend & Juan Pablo Pablo Xandri, 2019. "Financial Centrality and the Value of Key Players," Working Papers 2019-26, Princeton University. Economics Department..
    19. Matthew Elliott & Benjamin Golub & Matthew V. Leduc, 2022. "Supply Network Formation and Fragility," American Economic Review, American Economic Association, vol. 112(8), pages 2701-2747, August.
    20. Li, Fei & Kang, Hao & Xu, Jingfeng, 2022. "Financial stability and network complexity: A random matrix approach," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 177-185.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:1705.05943. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.