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Vulnerability Analysis of the Financial Network

Author

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  • Aein Khabazian

    (Department of Industrial Engineering, University of Houston, Houston, Texas 77204)

  • Jiming Peng

    (Department of Industrial Engineering, University of Houston, Houston, Texas 77204)

Abstract

Since the financial crisis in 2007–2008, the vulnerability of a financial system has become a major concern in financial engineering. In this paper, we analyze the vulnerability of a financial network based on the linear optimization model introduced by Eisenberg and Noe [Eisenberg L, Noe TH (2001) Systemic risk in financial systems. Management Sci . 47(2):236–249.], in which the right-hand side of the constraints is subject to market shock and only limited information regarding the liability matrix is exposed. We develop a new extended sensitivity analysis to characterize the conditions under which a bank is solvent, in default, or bankrupted and estimate the probability of insolvency and the probability of bankruptcy under mild conditions on the market shock and the network structure. Particularly, we show that although an increment in the total asset may not be able to improve the stability of the financial system, a larger asset inequality in the system will reduce its stability. Moreover, under a certain assumption on the market shock and the network structure, we show that the least stable network can be attained at some network with a monopoly node, which also has the highest probability of insolvency. The probability of bankruptcy in the network when all the nodes receive shocks is estimated. We also estimate the impact of bankruptcy of the monopoly node in a well-balanced network and explore the domino effect of bankruptcy when the network has a tridiagonal structure. Numerical experiments are presented to verify the theoretical conclusions.

Suggested Citation

  • Aein Khabazian & Jiming Peng, 2019. "Vulnerability Analysis of the Financial Network," Management Science, INFORMS, vol. 65(7), pages 3302-3321, July.
    • Handle: RePEc:inm:ormnsc:v:65:y:2019:i:7:p:3302-3321
    DOI: 10.1287/mnsc.2018.3106
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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. 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.
    3. 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.
    4. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Risk Assessment for Banking Systems," Management Science, INFORMS, vol. 52(9), pages 1301-1314, September.
    5. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    6. 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.
    7. Cocco, João F. & Gomes, Francisco J. & Martins, Nuno C., 2009. "Lending relationships in the interbank market," Journal of Financial Intermediation, Elsevier, vol. 18(1), pages 24-48, January.
    8. Helmut Elsinger & Alfred Lehar & Martin Summer, 2006. "Using Market Information for Banking System Risk Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    9. Philip R. Lane, 2012. "The European Sovereign Debt Crisis," Journal of Economic Perspectives, American Economic Association, vol. 26(3), pages 49-68, Summer.
    10. 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.
    11. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    12. Paolo Tasca & Stefano Battiston, "undated". "Diversification and Financial Stability," Working Papers CCSS-11-001, ETH Zurich, Chair of Systems Design.
    13. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    14. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
    15. Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
    16. Battiston, Stefano & Gatti, Domenico Delli & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Default cascades: When does risk diversification increase stability?," Journal of Financial Stability, Elsevier, vol. 8(3), pages 138-149.
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    6. Cao, Jie & Wen, Fenghua & Stanley, H. Eugene & Wang, Xiong, 2021. "Multilayer financial networks and systemic importance: Evidence from China," International Review of Financial Analysis, Elsevier, vol. 78(C).
    7. Shane Barratt & Stephen Boyd, 2020. "Multi-Period Liability Clearing via Convex Optimal Control," Papers 2005.09066, arXiv.org.

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