IDEAS home Printed from https://ideas.repec.org/p/bcb/wpaper/461.html
   My bibliography  Save this paper

Systemic Risk in Financial Systems: a feedback approach

Author

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

Abstract

We develop an innovative framework to estimate systemic risk that accounts for feedback effects between the real and financial sectors. We model the feedback effects through successive deterioration of borrowers’ creditworthiness and illiquidity spreading, thus giving rise to a micro-level financial accelerator between firms and banks. We demonstrate that the model converges to a unique fixed point and the key role that centrality plays in shaping the level of amplification of shocks. We also provide a mathematical framework to explain systemic risk variations in time as a function of the network characteristics of economic agents. Finally, we supply empirical evidence on the economic significance of the feedback effects on comprehensive loan-level data of the Brazilian credit register. Our results corroborate the importance of incorporating new contagion channels besides the traditional interbank market in systemic risk models. Our model sheds light on the policy issue regarding risk-weighting of assets that also internalizes the costs of systemic risk.

Suggested Citation

  • Thiago Christiano Silva & Michel Alexandre da Silva & Benjamin Miranda Tabak, 2017. "Systemic Risk in Financial Systems: a feedback approach," Working Papers Series 461, Central Bank of Brazil, Research Department.
  • Handle: RePEc:bcb:wpaper:461
    as

    Download full text from publisher

    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps461.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    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. Poledna, Sebastian & Molina-Borboa, José Luis & Martínez-Jaramillo, Serafín & van der Leij, Marco & Thurner, Stefan, 2015. "The multi-layer network nature of systemic risk and its implications for the costs of financial crises," Journal of Financial Stability, Elsevier, vol. 20(C), pages 70-81.
    3. Diamond, Douglas W, 1991. "Monitoring and Reputation: The Choice between Bank Loans and Directly Placed Debt," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 689-721, August.
    4. Sandeep Dahiya & Anthony Saunders & Anand Srinivasan, 2003. "Financial Distress and Bank Lending Relationships," Journal of Finance, American Finance Association, vol. 58(1), pages 375-399, February.
    5. Drehmann, Mathias & Tarashev, Nikola, 2013. "Measuring the systemic importance of interconnected banks," Journal of Financial Intermediation, Elsevier, vol. 22(4), pages 586-607.
    6. Krause, Andreas & Giansante, Simone, 2012. "Interbank lending and the spread of bank failures: A network model of systemic risk," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 583-608.
    7. Julian di Giovanni & Andrei A. Levchenko & Isabelle Mejean, 2014. "Firms, Destinations, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 82(4), pages 1303-1340, July.
    8. Xu, Tao & He, Jianmin & Li, Shouwei, 2016. "A dynamic network model for interbank market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 131-138.
    9. Greenwood, Robin & Landier, Augustin & Thesmar, David, 2015. "Vulnerable banks," Journal of Financial Economics, Elsevier, vol. 115(3), pages 471-485.
    10. Souza, Sergio Rubens Stancato de & Silva, Thiago Christiano & Tabak, Benjamin Miranda & Guerra, Solange Maria, 2016. "Evaluating systemic risk using bank default probabilities in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 66(C), pages 54-75.
    11. 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.
    12. Acharya, Viral V. & Skeie, David, 2011. "A model of liquidity hoarding and term premia in inter-bank markets," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 436-447.
    13. 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.
    14. 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.
    15. Martinez-Jaramillo, Serafin & Alexandrova-Kabadjova, Biliana & Bravo-Benitez, Bernardo & Solórzano-Margain, Juan Pablo, 2014. "An empirical study of the Mexican banking system’s network and its implications for systemic risk," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 242-265.
    16. 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.
    17. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    18. 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.
    19. 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.
    20. Daron Acemoglu & Asuman Ozdaglar & Alireza Tahbaz-Salehi, 2015. "Networks, Shocks, and Systemic Risk," NBER Working Papers 20931, National Bureau of Economic Research, Inc.
    21. Franklin Allen & Douglas Gale, 2000. "Financial Contagion," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 1-33, February.
    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. 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.
    25. Temizsoy, Asena & Iori, Giulia & Montes-Rojas, Gabriel, 2015. "The role of bank relationships in the interbank market," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 118-141.
    26. 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.
    27. 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.
    28. Iori, Giulia & Jafarey, Saqib & Padilla, Francisco G., 2006. "Systemic risk on the interbank market," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 525-542, December.
    29. Cajueiro, Daniel O. & Tabak, Benjamin M., 2008. "The role of banks in the Brazilian interbank market: Does bank type matter?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6825-6836.
    30. Gorton, Gary & Pennacchi, George, 1990. "Financial Intermediaries and Liquidity Creation," Journal of Finance, American Finance Association, vol. 45(1), pages 49-71, March.
    31. Sebastian Poledna & Stefan Thurner, 2016. "Elimination of systemic risk in financial networks by means of a systemic risk transaction tax," Quantitative Finance, Taylor & Francis Journals, vol. 16(10), pages 1599-1613, October.
    32. Martínez-Jaramillo, Serafín & Pérez, Omar Pérez & Embriz, Fernando Avila & Dey, Fabrizio López Gallo, 2010. "Systemic risk, financial contagion and financial fragility," Journal of Economic Dynamics and Control, Elsevier, vol. 34(11), pages 2358-2374, November.
    33. Gandy, Axel & Veraart, Luitgard A. M., 2017. "A Bayesian methodology for systemic risk assessment in financial networks," LSE Research Online Documents on Economics 66312, London School of Economics and Political Science, LSE Library.
    34. 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.
    35. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
    36. Georg, Co-Pierre, 2011. "The effect of the interbank network structure on contagion and common shocks," Discussion Paper Series 2: Banking and Financial Studies 2011,12, Deutsche Bundesbank.
    37. Markose, Sheri & Giansante, Simone & Shaghaghi, Ali Rais, 2012. "‘Too interconnected to fail’ financial network of US CDS market: Topological fragility and systemic risk," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 627-646.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Silva, Thiago Christiano & Guerra, Solange Maria & Tabak, Benjamin Miranda, 2020. "Fiscal risk and financial fragility," Emerging Markets Review, Elsevier, vol. 45(C).
    6. 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.
    7. Adão, Luiz F.S. & Silveira, Douglas & Ely, Regis A. & Cajueiro, Daniel O., 2022. "The impacts of interest rates on banks’ loan portfolio risk-taking," Journal of Economic Dynamics and Control, Elsevier, vol. 144(C).
    8. 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.
    9. Giulia Poce & Giulio Cimini & Andrea Gabrielli & Andrea Zaccaria & Giuditta Baldacci & Marco Polito & Mariangela Rizzo & Silvia Sabatini, 2016. "What do central counterparties default funds really cover? A network-based stress test answer," Papers 1611.03782, arXiv.org.
    10. Elosegui, Pedro & Forte, Federico D. & Montes-Rojas, Gabriel, 2022. "Network structure and fragmentation of the Argentinean interbank markets," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 3(3).
    11. Committee, Nobel Prize, 2022. "Financial Intermediation and the Economy," Nobel Prize in Economics documents 2022-2, Nobel Prize Committee.
    12. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    13. 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.
    14. Brandi, Giuseppe & Di Clemente, Riccardo & Cimini, Giulio, 2018. "Epidemics of liquidity shortages in interbank markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 255-267.
    15. Pawe{l} Smaga & Mateusz Wili'nski & Piotr Ochnicki & Piotr Arendarski & Tomasz Gubiec, 2016. "Can banks default overnight? Modeling endogenous contagion on O/N interbank market," Papers 1603.05142, arXiv.org.
    16. Sadamori Kojaku & Giulio Cimini & Guido Caldarelli & Naoki Masuda, 2018. "Structural changes in the interbank market across the financial crisis from multiple core-periphery analysis," Papers 1802.05139, arXiv.org.
    17. 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.
    18. Green, Christopher & Bai, Ye & Murinde, Victor & Ngoka, Kethi & Maana, Isaya & Tiriongo, Samuel, 2016. "Overnight interbank markets and the determination of the interbank rate: A selective survey," International Review of Financial Analysis, Elsevier, vol. 44(C), pages 149-161.
    19. Wiersema, Garbrand & Kleinnijenhuis, Alissa M. & Wetzer, Thom & Farmer, J. Doyne, 2023. "Scenario-free analysis of financial stability with interacting contagion channels," Journal of Banking & Finance, Elsevier, vol. 146(C).
    20. Le, Richard & Ku, Hyejin, 2022. "Reducing systemic risk in a multi-layer network using reinforcement learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

    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:461. 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.