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Liability Concentration and Systemic Losses in Financial Networks

Author

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  • Agostino Capponi

    (Industrial Engineering and Operations Research Department, Columbia University, New York, New York 10027)

  • Peng-Chu Chen

    (School of Industrial Engineering, Purdue University, West Lafayette, Indiana 47906)

  • David D. Yao

    (Industrial Engineering and Operations Research Department, Columbia University, New York, New York 10027)

Abstract

The objective of this study is to develop a majorization-based tool to compare financial networks with a focus on the implications of liability concentration. Specifically, we quantify liability concentration by applying the majorization order to the liability matrix that captures the interconnectedness of banks in a financial network. We develop notions of balancing and unbalancing networks to bring out the qualitatively different implications of liability concentration on the system’s loss profile. We illustrate how to identify networks that are balancing or unbalancing, and we make connections to interbank structures identified by empirical research, such as perfect and imperfect tiering schemes. An empirical analysis of the network formed by the banking sectors of eight representative European countries suggests that the system is either unbalancing or close to it, persistently over time. This empirical finding, along with the majorization results, supports regulatory policies aiming at limiting the size of gross exposures to individual counterparties.

Suggested Citation

  • Agostino Capponi & Peng-Chu Chen & David D. Yao, 2016. "Liability Concentration and Systemic Losses in Financial Networks," Operations Research, INFORMS, vol. 64(5), pages 1121-1134, October.
    • Handle: RePEc:inm:oropre:v:64:y:2016:i:5:p:1121-1134
    DOI: 10.1287/opre.2015.1402
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    References listed on IDEAS

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    Cited by:

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    3. Péter Csóka & P. Jean-Jacques Herings, 2021. "An Axiomatization of the Proportional Rule in Financial Networks," Management Science, INFORMS, vol. 67(5), pages 2799-2812, May.
    4. Rama Cont & Darrell Duffie & Paul Glasserman & Chris Rogers & Fernando Vega-Redondo, 2016. "Preface to the Special Issue on Systemic Risk: Models and Mechanisms," Operations Research, INFORMS, vol. 64(5), pages 1053-1055, October.
    5. Tathagata Banerjee & Alex Bernstein & Zachary Feinstein, 2018. "Dynamic Clearing and Contagion in Financial Networks," Papers 1801.02091, arXiv.org, revised Nov 2022.
    6. Péter Csóka & P. Jean-Jacques Herings, 2021. "Uniqueness of Clearing Payment Matrices in Financial Networks," CERS-IE WORKING PAPERS 2134, Institute of Economics, Centre for Economic and Regional Studies.
    7. Tathagata Banerjee & Zachary Feinstein, 2018. "Impact of Contingent Payments on Systemic Risk in Financial Networks," Papers 1805.08544, arXiv.org, revised Dec 2018.
    8. Hezhi Luo & Xiaodong Ding & Jiming Peng & Rujun Jiang & Duan Li, 2021. "Complexity Results and Effective Algorithms for Worst-Case Linear Optimization Under Uncertainties," INFORMS Journal on Computing, INFORMS, vol. 33(1), pages 180-197, January.
    9. Aein Khabazian & Jiming Peng, 2019. "Vulnerability Analysis of the Financial Network," Management Science, INFORMS, vol. 65(7), pages 3302-3321, July.
    10. Maxim Bichuch & Zachary Feinstein, 2020. "A Repo Model of Fire Sales with VWAP and LOB Pricing Mechanisms," Papers 2005.05364, arXiv.org, revised Mar 2021.
    11. Péter Csóka & P. Jean-Jacques Herings, 2018. "Decentralized Clearing in Financial Networks," Management Science, INFORMS, vol. 64(10), pages 4681-4699, October.
    12. 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.
    13. Amini, Hamed & Feinstein, Zachary, 2023. "Optimal network compression," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1439-1455.
    14. Giuseppe Calafiore & Giulia Fracastoro & Anton Proskurnikov, 2024. "Default Resilience and Worst-Case Effects in Financial Networks," Papers 2403.10631, arXiv.org.
    15. Tathagata Banerjee & Zachary Feinstein, 2018. "Pricing of debt and equity in a financial network with comonotonic endowments," Papers 1810.01372, arXiv.org, revised Sep 2021.
    16. Hamed Amini & Zachary Feinstein, 2020. "Optimal Network Compression," Papers 2008.08733, arXiv.org, revised Jul 2022.
    17. Agostino Capponi & Xu Sun & David D. Yao, 2020. "A Dynamic Network Model of Interbank Lending—Systemic Risk and Liquidity Provisioning," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 1127-1152, August.
    18. Ahn, Dohyun & Kim, Kyoung-Kuk & Kwon, Eunji, 2023. "Multivariate stress scenario selection in interbank networks," Journal of Economic Dynamics and Control, Elsevier, vol. 154(C).
    19. 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.
    20. Huixian Wu & Hezhi Luo & Xianye Zhang & Haiqiang Qi, 2023. "An effective global algorithm for worst-case linear optimization under polyhedral uncertainty," Journal of Global Optimization, Springer, vol. 87(1), pages 191-219, September.
    21. Maxim Bichuch & Nils Detering, 2022. "Optimal Support for Distressed Subsidiaries -- a Systemic Risk Perspective," Papers 2201.12731, arXiv.org, revised Mar 2024.

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