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A Continuous-Time Model of Financial Clearing

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  • Sonin, Konstantin
  • Sonin, Isaac

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 the ``pipes'' connecting the ``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. We demonstrate how the machinery of Markov chains can be used to analyze evolution of a deterministic dynamical system.

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  • Sonin, Konstantin & Sonin, Isaac, 2020. "A Continuous-Time Model of Financial Clearing," CEPR Discussion Papers 15117, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:15117
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    8. Zachary Feinstein & Weijie Pang & Birgit Rudloff & Eric Schaanning & Stephan Sturm & Mackenzie Wildman, 2017. "Sensitivity of the Eisenberg-Noe clearing vector to individual interbank liabilities," Papers 1708.01561, arXiv.org, revised Oct 2018.
    9. 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.
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    Cited by:

    1. Zachary Feinstein & Andreas Sojmark, 2020. "Dynamic Default Contagion in Heterogeneous Interbank Systems," Papers 2010.15254, arXiv.org, revised Jul 2021.
    2. Zhiyu Cao & Zachary Feinstein, 2023. "Price-mediated contagion with endogenous market liquidity," Papers 2311.05977, arXiv.org.

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    More about this item

    Keywords

    Financial networks; Clearing vector; Continuous time; Markov chains;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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