IDEAS home Printed from https://ideas.repec.org/p/bcb/wpaper/438.html
   My bibliography  Save this paper

Modeling Financial Networks: a feedback approach

Author

Listed:
  • Thiago Christiano Silva
  • Michel Alexandre da Silva
  • Benjamin Miranda Tabak

Abstract

We study cascade of failures in multilayer financial networks incorporating contagion feedback effects among different economic agents. We develop a flexible framework that allows for the evaluation of systemic risk in financial networks and demonstrate that the model converges to a unique fixed point. We design a financial accelerator engine to model the feedback effect between the real and the financial sectors of the economy by using contagion transmission channels such as loan defaults, bank credit crunches, deposit withdrawals, and deposit defaults. We illustrate the model using data on Brazilian bank-bank and bank-firm loans. We show that the contagion feedback effect – which accounts for second and higher-order rounds of stress propagation and is overlooked by the existing literature – is economically significant. This finding suggests that models that were developed up to date may be severely underestimating systemic risk.

Suggested Citation

  • Thiago Christiano Silva & Michel Alexandre da Silva & Benjamin Miranda Tabak, 2016. "Modeling Financial Networks: a feedback approach," Working Papers Series 438, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:438
    as

    Download full text from publisher

    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps438.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Rodrigo César de Castro Miranda & Benjamin Miranda Tabak, 2013. "Contagion Risk within Firm-Bank Bivariate Networks," Working Papers Series 322, Central Bank of Brazil, Research Department.
    3. AOYAMA Hideaki & Stefano BATTISTON & FUJIWARA Yoshi, 2013. "DebtRank Analysis of the Japanese Credit Network," Discussion papers 13087, Research Institute of Economy, Trade and Industry (RIETI).
    4. Julian di Giovanni & Andrei A. Levchenko & Isabelle Mejean, 2014. "Firms, Destinations, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 82(4), pages 1303-1340, July.
    5. Alex Stomper, 2006. "A Theory of Banks' Industry Expertise, Market Power, and Credit Risk," Management Science, INFORMS, vol. 52(10), pages 1618-1633, October.
    6. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    7. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-248, April.
    8. Silva, Thiago Christiano & de Souza, Sergio Rubens Stancato & Tabak, Benjamin Miranda, 2016. "Network structure analysis of the Brazilian interbank market," Emerging Markets Review, Elsevier, vol. 26(C), pages 130-152.
    9. Iyer, Rajkamal & Da-Rocha-Lopes, Samuel & Peydró, José-Luis & Schoar, Antoinette, 2014. "Interbank Liquidity Crunch and the Firm Credit Crunch: Evidence from the 2007-2009 Crisis," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 27(1), pages 347-372.
    10. S Battiston & G di Iasio & L Infante & F Pierobon, 2015. "Capital and contagion in financial networks," IFC Bulletins chapters, in: Bank for International Settlements (ed.), Indicators to support monetary and financial stability analysis: data sources and statistical methodologies, volume 39, Bank for International Settlements.
    11. Bernanke, Ben & Gertler, Mark & Gilchrist, Simon, 1996. "The Financial Accelerator and the Flight to Quality," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 1-15, February.
    12. 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.
    13. Freixas, Xavier & Parigi, Bruno M & Rochet, Jean-Charles, 2000. "Systemic Risk, Interbank Relations, and Liquidity Provision by the Central Bank," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(3), pages 611-638, August.
    14. Bengt Holmstrom & Jean Tirole, 1997. "Financial Intermediation, Loanable Funds, and The Real Sector," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 663-691.
    15. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Networks, Shocks, and Systemic Risk," NBER Working Papers 20931, National Bureau of Economic Research, Inc.
    16. Franklin Allen & Douglas Gale, 2004. "Financial Intermediaries and Markets," Econometrica, Econometric Society, vol. 72(4), pages 1023-1061, July.
    17. Tabak, Benjamin M. & Fazio, Dimas M. & Cajueiro, Daniel O., 2011. "The effects of loan portfolio concentration on Brazilian banks' return and risk," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 3065-3076, November.
    18. Battiston, Stefano & Delli Gatti, Domenico & Gallegati, Mauro & Greenwald, Bruce & Stiglitz, Joseph E., 2012. "Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1121-1141.
    19. Franklin Allen & Douglas Gale, 2000. "Financial Contagion," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 1-33, February.
    20. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    21. Arvind Krishnamurthy, 2010. "Amplification Mechanisms in Liquidity Crises," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(3), pages 1-30, July.
    22. 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.
    23. Silva, Thiago Christiano & Souza, Sergio Rubens Stancato & Tabak, Benjamin Miranda, 2017. "Monitoring vulnerability and impact diffusion in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 109-135.
    24. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    25. Souza, Sergio R.S. & Tabak, Benjamin M. & Silva, Thiago C. & Guerra, Solange M., 2015. "Insolvency and contagion in the Brazilian interbank market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 140-151.
    26. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    27. Ram T. S. Ramakrishnan & Anjan V. Thakor, 1984. "Information Reliability and a Theory of Financial Intermediation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 415-432.
    28. Viral V. Acharya & Iftekhar Hasan & Anthony Saunders, 2006. "Should Banks Be Diversified? Evidence from Individual Bank Loan Portfolios," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1355-1412, May.
    29. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
    30. Bernanke, Ben S, 1983. "Nonmonetary Effects of the Financial Crisis in Propagation of the Great Depression," American Economic Review, American Economic Association, vol. 73(3), pages 257-276, June.
    31. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    32. Andrew Winton, 1999. "Don’t Put All Your Eggs in One Basket? Diversification and Specialization in Lending," Center for Financial Institutions Working Papers 00-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
    33. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    34. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Berndsen, Ron J. & León, Carlos & Renneboog, Luc, 2018. "Financial stability in networks of financial institutions and market infrastructures," Journal of Financial Stability, Elsevier, vol. 35(C), pages 120-135.
    2. Silva, Thiago Christiano & da Silva, Michel Alexandre & Tabak, Benjamin Miranda, 2017. "Systemic risk in financial systems: A feedback approach," Journal of Economic Behavior & Organization, Elsevier, vol. 144(C), pages 97-120.
    3. Silva, Thiago Christiano & Tabak, Benjamin Miranda & Guerra, Solange Maria, 2017. "Why do vulnerability cycles matter in financial networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 592-606.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Silva, Thiago Christiano & Alexandre, Michel da Silva & Tabak, Benjamin Miranda, 2018. "Bank lending and systemic risk: A financial-real sector network approach with feedback," Journal of Financial Stability, Elsevier, vol. 38(C), pages 98-118.
    2. Silva, Thiago Christiano & da Silva, Michel Alexandre & Tabak, Benjamin Miranda, 2017. "Systemic risk in financial systems: A feedback approach," Journal of Economic Behavior & Organization, Elsevier, vol. 144(C), pages 97-120.
    3. Silva, Walmir & Kimura, Herbert & Sobreiro, Vinicius Amorim, 2017. "An analysis of the literature on systemic financial risk: A survey," Journal of Financial Stability, Elsevier, vol. 28(C), pages 91-114.
    4. Silva, Thiago Christiano & Guerra, Solange Maria & Tabak, Benjamin Miranda, 2020. "Fiscal risk and financial fragility," Emerging Markets Review, Elsevier, vol. 45(C).
    5. Silva, Thiago Christiano & Tabak, Benjamin Miranda & Guerra, Solange Maria, 2017. "Why do vulnerability cycles matter in financial networks?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 592-606.
    6. 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.
    7. Aikman, David & Beale, Daniel & Brinley-Codd, Adam & Covi, Giovanni & Hüser, Anne‑Caroline & Lepore, Caterina, 2023. "Macroprudential stress‑test models: a survey," Bank of England working papers 1037, Bank of England.
    8. Peydró, José-Luis & Jiménez, Gabriel & Kenan, Huremovic & Moral-Benito, Enrique & Vega-Redondo, Fernando, 2020. "Production and financial networks in interplay: Crisis evidence from supplier-customer and credit registers," CEPR Discussion Papers 15277, C.E.P.R. Discussion Papers.
    9. Mark Paddrik & Sriram Rajan & H. Peyton Young, 2016. "Contagion in the CDS Market," Working Papers 16-12, Office of Financial Research, US Department of the Treasury.
    10. Tang, Qihe & Tong, Zhiwei & Xun, Li, 2022. "Insurance risk analysis of financial networks vulnerable to a shock," European Journal of Operational Research, Elsevier, vol. 301(2), pages 756-771.
    11. Shi, Qing & Sun, Xiaoqi & Jiang, Yile, 2022. "Concentrated commonalities and systemic risk in China's banking system: A contagion network approach," International Review of Financial Analysis, Elsevier, vol. 83(C).
    12. Cuba, Walter & Rodriguez-Martinez, Anahi & Chavez, Diego A. & Caccioli, Fabio & Martinez-Jaramillo, Serafin, 2021. "A network characterization of the interbank exposures in Peru," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 2(3).
    13. Marco Bardoscia & Paolo Barucca & Stefano Battiston & Fabio Caccioli & Giulio Cimini & Diego Garlaschelli & Fabio Saracco & Tiziano Squartini & Guido Caldarelli, 2021. "The Physics of Financial Networks," Papers 2103.05623, arXiv.org.
    14. Navarro, Noemí & Tran, Dan H., 2018. "Shock Diffusion in Regular Networks: The Role of Transitive Cycles," MPRA Paper 86267, University Library of Munich, Germany.
    15. Carro, Adrian & Stupariu, Patricia, 2024. "Uncertainty, non-linear contagion and the credit quality channel: An application to the Spanish interbank market," Journal of Financial Stability, Elsevier, vol. 71(C).
    16. Paltalidis, Nikos & Gounopoulos, Dimitrios & Kizys, Renatas & Koutelidakis, Yiannis, 2015. "Transmission channels of systemic risk and contagion in the European financial network," Journal of Banking & Finance, Elsevier, vol. 61(S1), pages 36-52.
    17. Bardoscia, Marco & Barucca, Paolo & Brinley Codd, Adam & Hill, John, 2017. "The decline of solvency contagion risk," Bank of England working papers 662, Bank of England.
    18. Silva, Thiago Christiano & Souza, Sergio Rubens Stancato & Tabak, Benjamin Miranda, 2017. "Monitoring vulnerability and impact diffusion in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 109-135.
    19. Paolo Bartesaghi & Michele Benzi & Gian Paolo Clemente & Rosanna Grassi & Ernesto Estrada, 2019. "Risk-dependent centrality in economic and financial networks," Papers 1907.07908, arXiv.org, revised Apr 2020.
    20. Ramírez, Carlos, 2020. "Regulating financial networks under uncertainty," ESRB Working Paper Series 107, European Systemic Risk Board.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bcb:wpaper:438. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Rodrigo Barbone Gonzalez (email available below). General contact details of provider: https://www.bcb.gov.br/en .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.