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Inhomogeneous Financial Networks and Contagious Links

Author

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  • Hamed Amini

    (Department of Mathematics, University of Miami, Coral Gables, Florida 33124)

  • Andreea Minca

    (School of Operations Research and Information Engineering, Cornell University, Ithaca, New York 14850)

Abstract

We propose a framework for testing the possibility of large cascades in financial networks. This framework accommodates a variety of specifications for the probabilities of emergence of “contagious links” conditional on a macroeconomic shock, where a contagious link leads to the default of a bank following the default of its counterparty. Under general contagion mechanisms and incomplete information, the financial network is modeled as an inhomogeneous random graph, where the conditional probabilities of having contagious links depend on banks’ characteristics. We give different bounds on the size of the cascade through contagious links and derive testable conditions for this cascade to be small.

Suggested Citation

  • Hamed Amini & Andreea Minca, 2016. "Inhomogeneous Financial Networks and Contagious Links," Operations Research, INFORMS, vol. 64(5), pages 1109-1120, October.
    • Handle: RePEc:inm:oropre:v:64:y:2016:i:5:p:1109-1120
    DOI: 10.1287/opre.2016.1540
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    References listed on IDEAS

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    1. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    2. Anand, Kartik & Gai, Prasanna & Marsili, Matteo, 2012. "Rollover risk, network structure and systemic financial crises," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1088-1100.
    3. Hamed Amini & Rama Cont & Andreea Minca, 2012. "Stress Testing The Resilience Of Financial Networks," World Scientific Book Chapters, in: Matheus R Grasselli & Lane P Hughston (ed.), Finance at Fields, chapter 2, pages 17-36, World Scientific Publishing Co. Pte. Ltd..
    4. Kartik Anand & Ben Craig & Goetz von Peter, 2015. "Filling in the blanks: network structure and interbank contagion," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 625-636, April.
    5. Spiliopoulos, Konstantinos & Sowers, Richard B., 2011. "Recovery rates in investment-grade pools of credit assets: A large deviations analysis," Stochastic Processes and their Applications, Elsevier, vol. 121(12), pages 2861-2898.
    6. Viral V. Acharya & Tanju Yorulmazer, 2008. "Information Contagion and Bank Herding," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 215-231, February.
    7. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    8. Craig, Ben & von Peter, Goetz, 2014. "Interbank tiering and money center banks," Journal of Financial Intermediation, Elsevier, vol. 23(3), pages 322-347.
    9. 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.
    10. Caccioli, Fabio & Shrestha, Munik & Moore, Cristopher & Farmer, J. Doyne, 2014. "Stability analysis of financial contagion due to overlapping portfolios," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 233-245.
    11. Hamed Amini & Rama Cont & Andreea Minca, 2012. "Stress Testing The Resilience Of Financial Networks," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1-20.
    12. Hamed Amini & Rama Cont & Andreea Minca, 2012. "Stress testing the resilience of financial networks," Post-Print hal-00801538, HAL.
    13. Konstantinos Spiliopoulos & Richard B. Sowers, 2010. "Recovery Rates in investment-grade pools of credit assets: A large deviations analysis," Papers 1006.2711, arXiv.org, revised Aug 2011.
    14. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    15. Hamed Amini & Damir Filipović & Andreea Minca, 2013. "Systemic Risk and Central Clearing Counterparty Design," Swiss Finance Institute Research Paper Series 13-34, Swiss Finance Institute.
    16. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    17. Lelarge, Marc, 2012. "Diffusion and cascading behavior in random networks," Games and Economic Behavior, Elsevier, vol. 75(2), pages 752-775.
    18. Gazi I. Kara & Mary Tian & Margaret Yellen, 2015. "Taxonomy of Studies on Interconnectedness," FEDS Notes 2015-07-31, Board of Governors of the Federal Reserve System (U.S.).
    19. Jeannette Müller, 2006. "Interbank Credit Lines as a Channel of Contagion," Journal of Financial Services Research, Springer;Western Finance Association, vol. 29(1), pages 37-60, February.
    20. Hamed Amini & Rama Cont & Andreea Minca, 2016. "Resilience To Contagion In Financial Networks," Mathematical Finance, Wiley Blackwell, vol. 26(2), pages 329-365, April.
    21. L. C. G. Rogers & L. A. M. Veraart, 2013. "Failure and Rescue in an Interbank Network," Management Science, INFORMS, vol. 59(4), pages 882-898, April.
    22. Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 677-684.
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    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. Youngna Choi, 2019. "Borrowing Capacity, Financial Instability, And Contagion," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-25, February.
    3. Oliver Kley & Claudia Klüppelberg & Gesine Reinert, 2016. "Risk in a Large Claims Insurance Market with Bipartite Graph Structure," Operations Research, INFORMS, vol. 64(5), pages 1159-1176, October.
    4. Runjie Xu & Chuanmin Mi & Rafal Mierzwiak & Runyu Meng, 2019. "Complex Network Construction of Internet Financial risk," Papers 1904.06640, arXiv.org, revised Aug 2019.
    5. Da, Gaofeng & Xu, Maochao & Zhao, Peng, 2021. "Multivariate dependence among cyber risks based on L-hop propagation," Insurance: Mathematics and Economics, Elsevier, vol. 101(PB), pages 525-546.
    6. Silva, Thiago Christiano & Guerra, Solange Maria & Tabak, Benjamin Miranda, 2020. "Fiscal risk and financial fragility," Emerging Markets Review, Elsevier, vol. 45(C).
    7. Xu, Runjie & Mi, Chuanmin & Mierzwiak, Rafał & Meng, Runyu, 2020. "Complex network construction of Internet finance risk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    8. Chen, Zhihua & An, Haizhong & An, Feng & Guan, Qing & Hao, Xiaoqing, 2018. "Structural risk evaluation of global gas trade by a network-based dynamics simulation model," Energy, Elsevier, vol. 159(C), pages 457-471.
    9. Morteza Alaeddini & Philippe Madiès & Paul J. Reaidy & Julie Dugdale, 2023. "Interbank money market concerns and actors’ strategies—A systematic review of 21st century literature," Journal of Economic Surveys, Wiley Blackwell, vol. 37(2), pages 573-654, April.
    10. T. R. Hurd, 2023. "Systemic cascades on inhomogeneous random financial networks," Mathematics and Financial Economics, Springer, volume 17, number 1, December.
    11. 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.
    12. Cheng, Xian & Zhao, Haichuan, 2019. "Modeling, analysis and mitigation of contagion in financial systems," Economic Modelling, Elsevier, vol. 76(C), pages 281-292.
    13. Francesca Biagini & Andrea Mazzon & Thilo Meyer-Brandis, 2018. "Financial asset bubbles in banking networks," Papers 1806.01728, arXiv.org.
    14. Amini, Hamed & Minca, Andreea & Sulem, Agnès, 2017. "Optimal equity infusions in interbank networks," Journal of Financial Stability, Elsevier, vol. 31(C), pages 1-17.
    15. Zhuo Jin & Huafu Liao & Yue Yang & Xiang Yu, 2019. "Optimal Dividend Strategy for an Insurance Group with Contagious Default Risk," Papers 1909.09511, arXiv.org, revised Oct 2020.
    16. Hamed Amini & Zhongyuan Cao & Andreea Minca & Agn`es Sulem, 2023. "Ruin Probabilities for Risk Processes in Stochastic Networks," Papers 2302.06668, arXiv.org.
    17. Chen, Naixi & Fan, Hong, 2023. "Credit risk contagion and optimal dual control—An SIS/R model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 448-472.
    18. Zafer Kanık, 2017. "Rescuing the Financial System: Capabilities, Incentives, and Optimal Interbank Networks," Working Papers 17-17, NET Institute.
    19. Hamed Amini, 2023. "Contagion risks and security investment in directed networks," Mathematics and Financial Economics, Springer, volume 17, number 5, December.
    20. Feinstein, Zachary & Sojmark, Andreas, 2021. "Short communication: dynamic default contagion in heterogeneous interbank systems," LSE Research Online Documents on Economics 123789, London School of Economics and Political Science, LSE Library.
    21. Zachary Feinstein & Andreas Sojmark, 2020. "Dynamic Default Contagion in Heterogeneous Interbank Systems," Papers 2010.15254, arXiv.org, revised Jul 2021.
    22. Lijun Bo & Shihua Wang & Xiang Yu, 2021. "Mean Field Game of Optimal Relative Investment with Jump Risk," Papers 2108.00799, arXiv.org, revised Feb 2023.
    23. Chen, Naixi & Fan, Hong, 2023. "Contagion and supervision of liquidity crisis in interbank markets: Based on the SIS network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).

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