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Optimal Network Compression

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  • Hamed Amini
  • Zachary Feinstein

Abstract

This paper introduces a formulation of the optimal network compression problem for financial systems. This general formulation is presented for different levels of network compression or rerouting allowed from the initial interbank network. We prove that this problem is, generically, NP-hard. We focus on objective functions generated by systemic risk measures under shocks to the financial network. We use this framework to study the (sub)optimality of the maximally compressed network. We conclude by studying the optimal compression problem for specific networks; this permits us to study, e.g., the so-called robust fragility of certain network topologies more generally as well as the potential benefits and costs of network compression. In particular, under systematic shocks and heterogeneous financial networks the robust fragility results of Acemoglu et al. (2015) no longer hold generally.

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  • Hamed Amini & Zachary Feinstein, 2020. "Optimal Network Compression," Papers 2008.08733, arXiv.org, revised Jul 2022.
    • Handle: RePEc:arx:papers:2008.08733
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    References listed on IDEAS

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    1. Marco Bardoscia & Stefano Battiston & Fabio Caccioli & Guido Caldarelli, 2015. "DebtRank: A Microscopic Foundation for Shock Propagation," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-13, June.
    2. C. Gouriéroux & J.‐C. Héam & A. Monfort, 2012. "Bilateral exposures and systemic solvency risk," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(4), pages 1273-1309, November.
    3. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    4. 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.
    5. 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.
    6. Grzegorz Hałaj & Christoffer Kok, 2013. "Assessing interbank contagion using simulated networks," Computational Management Science, Springer, vol. 10(2), pages 157-186, June.
    7. E. Kromer & L. Overbeck & K. Zilch, 2016. "Systemic risk measures on general measurable spaces," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 323-357, October.
    8. Duffie, Darrell & Scheicher, Martin & Vuillemey, Guillaume, 2015. "Central clearing and collateral demand," Journal of Financial Economics, Elsevier, vol. 116(2), pages 237-256.
    9. Diem, Christian & Pichler, Anton & Thurner, Stefan, 2020. "What is the minimal systemic risk in financial exposure networks?," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    10. Marco D'Errico & Tarik Roukny, 2017. "Compressing Over-the-Counter Markets," Papers 1705.07155, arXiv.org, revised Jun 2019.
    11. Hamed Amini & Damir Filipović & Andreea Minca, 2020. "Systemic Risk in Networks with a Central Node," Swiss Finance Institute Research Paper Series 20-04, Swiss Finance Institute.
    12. Upper, Christian & Worms, Andreas, 2004. "Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?," European Economic Review, Elsevier, vol. 48(4), pages 827-849, August.
    13. Paul Glasserman & Ciamac C. Moallemi & Kai Yuan, 2016. "Hidden Illiquidity with Multiple Central Counterparties," Operations Research, INFORMS, vol. 64(5), pages 1143-1158, October.
    14. Matthew Elliott & Benjamin Golub & Matthew O. Jackson, 2014. "Financial Networks and Contagion," American Economic Review, American Economic Association, vol. 104(10), pages 3115-3153, October.
    15. Hamed Amini & Rama Cont & Andreea Minca, 2016. "Resilience To Contagion In Financial Networks," Mathematical Finance, Wiley Blackwell, vol. 26(2), pages 329-365, April.
    16. 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.
    17. 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.
    18. Nan Chen & Xin Liu & David D. Yao, 2016. "An Optimization View of Financial Systemic Risk Modeling: Network Effect and Market Liquidity Effect," Operations Research, INFORMS, vol. 64(5), pages 1089-1108, October.
    19. repec:dau:papers:123456789/14967 is not listed on IDEAS
    20. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    21. Yannick Armenti & Stéphane Crépey, 2017. "Central Clearing Valuation Adjustment," Working Papers hal-01169169, HAL.
    22. 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.
    23. Gandy, Axel & Veraart, Luitgard Anna Maria, 2019. "Adjustable network reconstruction with applications to CDS exposures," Journal of Multivariate Analysis, Elsevier, vol. 172(C), pages 193-209.
    24. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
    25. Mistrulli, Paolo Emilio, 2011. "Assessing financial contagion in the interbank market: Maximum entropy versus observed interbank lending patterns," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1114-1127, May.
    26. Rodrigo Cifuentes & Hyun Song Shin & Gianluigi Ferrucci, 2005. "Liquidity Risk and Contagion," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 556-566, 04/05.
    27. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    28. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    29. Yannick Armenti & St'ephane Cr'epey, 2015. "Central Clearing Valuation Adjustment," Papers 1506.08595, arXiv.org, revised Feb 2017.
    30. Cont Rama & Kokholm Thomas, 2014. "Central clearing of OTC derivatives: Bilateral vs multilateral netting," Statistics & Risk Modeling, De Gruyter, vol. 31(1), pages 3-22, March.
    31. Agostino Capponi & W. Allen Cheng & Sriram Rajan, 2015. "Systemic Risk: The Dynamics under Central Clearing," Working Papers 15-08, Office of Financial Research, US Department of the Treasury.
    32. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
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    Cited by:

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    2. Amini, Hamed & Bichuch, Maxim & Feinstein, Zachary, 2023. "Decentralized payment clearing using blockchain and optimal bidding," European Journal of Operational Research, Elsevier, vol. 309(1), pages 409-420.
    3. Vikranth Lokeshwar Dhandapani & Shashi Jain, 2024. "Neural Networks for Portfolio-Level Risk Management: Portfolio Compression, Static Hedging, Counterparty Credit Risk Exposures and Impact on Capital Requirement," Papers 2402.17941, arXiv.org.

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