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A flow network analysis of direct balance-sheet contagion in financial networks

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  • Eboli, Mario

Abstract

This paper puts forward a novel approach to the analysis of direct contagion in financial networks. Financial systems are here represented as flow networks -i.e., directed and weighted graphs endowed with source nodes and sink nodes - and the propagation of losses and defaults, originated by an exogenous shock, is here represented as a flow that crosses such a network. In establishing existence and uniqueness of such a flow function, we address a know problem of indeterminacy that arise, in financial networks, from the intercyclicity of payments. Sufficient and necessary conditions for uniqueness are pinned down. We embed this result in an algorithm that, while computing the propagation caused by a shock, controls for the emergence of possible indeterminacies. We then apply some properties of network flows to investigate the relation between the structures of a financial network-i.e. the size and the pattern of obligations - and its exposure to default contagion.

Suggested Citation

  • Eboli, Mario, 2013. "A flow network analysis of direct balance-sheet contagion in financial networks," Kiel Working Papers 1862, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwkwp:1862
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    File URL: https://www.econstor.eu/bitstream/10419/78710/1/756798876.pdf
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Selman Erol & Rakesh Vohra, 2014. "Network Formation and Systemic Risk, Second Version," PIER Working Paper Archive 15-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 19 Dec 2014.
    2. Bulent Ozel & Mario Eboli & Andrea Toto & Andrea Teglio, 2018. "Robust-yet-fragile: A simulation model on exposure and concentration at interbank networks," Working Papers 2018/15, Economics Department, Universitat Jaume I, Castellón (Spain).
    3. Selman Erol & Rakesh Vohra, 2014. "Network Formation and Systemic Risk," PIER Working Paper Archive 14-029, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Fang, Lei & Cheng, Jiang & Su, Fang, 2019. "Interconnectedness and systemic risk: A comparative study based on systemically important regions," Pacific-Basin Finance Journal, Elsevier, vol. 54(C), pages 147-158.
    5. Isaac M. Sonin & Konstantin Sonin, 2020. "A Continuous-Time Model of Financial Clearing," Working Papers 2020-101, Becker Friedman Institute for Research In Economics.
    6. Eboli, Mario, 2019. "A flow network analysis of direct balance-sheet contagion in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 103(C), pages 205-233.
    7. Li, Wenwei & Hommel, Ulrich & Paterlini, Sandra, 2018. "Network topology and systemic risk: Evidence from the Euro Stoxx market," Finance Research Letters, Elsevier, vol. 27(C), pages 105-112.

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    More about this item

    Keywords

    systemic risk; financial contagion; financial networks; flow networks;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G01 - Financial Economics - - General - - - Financial Crises
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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