IDEAS home Printed from https://ideas.repec.org/a/spr/jeicoo/v15y2020i1d10.1007_s11403-019-00277-y.html
   My bibliography  Save this article

Systemic risk governance in a dynamical model of a banking system with stochastic assets and liabilities

Author

Listed:
  • Lorella Fatone

    (Università di Camerino)

  • Francesca Mariani

    (Università Politecnica delle Marche)

Abstract

We consider the problem of governing systemic risk in an assets–liabilities dynamical model of a banking system. In the model considered, each bank is represented by its assets and liabilities. The net worth of a bank is the difference between its assets and liabilities and bank is solvent when its net worth is greater than or equal to zero; otherwise, the bank has failed. The banking system dynamics is defined by an initial value problem for a system of stochastic differential equations whose independent variable is time and whose dependent variables are the assets and liabilities of the banks. The banking system model presented generalizes those discussed in Fouque and Sun (in: Fouque, Langsam (eds) Handbook of systemic risk, Cambridge University Press, Cambridge, pp 444–452, 2013) and Fatone and Mariani (J Glob Optim 75(3):851–883, 2019) and describes a homogeneous population of banks. The main features of the model are a cooperation mechanism among banks and the possibility of the (direct) intervention of the monetary authority in the banking system dynamics. By “systemic risk” or “systemic event” in a bounded time interval, we mean that in that time interval at least a given fraction of banks have failed. The probability of systemic risk in a bounded time interval is evaluated via statistical simulation. Systemic risk governance aims to maintain the probability of systemic risk in a bounded time interval between two given thresholds. The monetary authority is responsible for systemic risk governance. The governance consists in the choice of assets and liabilities of a kind of “ideal bank” as functions of time and in the choice of the rules for the cooperation mechanism among banks. These rules are obtained by solving an optimal control problem for the pseudo mean field approximation of the banking system model. Governance induces banks in the system to behave like the “ideal bank”. Shocks acting on the banks’ assets or liabilities are simulated. Numerical examples of systemic risk governance in the presence and absence of shocks acting on the banking system are studied.

Suggested Citation

  • Lorella Fatone & Francesca Mariani, 2020. "Systemic risk governance in a dynamical model of a banking system with stochastic assets and liabilities," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(1), pages 183-219, January.
    • Handle: RePEc:spr:jeicoo:v:15:y:2020:i:1:d:10.1007_s11403-019-00277-y
    DOI: 10.1007/s11403-019-00277-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11403-019-00277-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11403-019-00277-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lorella Fatone & Francesca Mariani, 2019. "An assets-liabilities dynamical model of banking system and systemic risk governance," Papers 1905.12431, arXiv.org.
    2. Grilli, Ruggero & Tedeschi, Gabriele & Gallegati, Mauro, 2014. "Bank interlinkages and macroeconomic stability," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 72-88.
    3. Douglas W. Diamond & Raghuram G. Rajan, 2000. "A Theory of Bank Capital," Journal of Finance, American Finance Association, vol. 55(6), pages 2431-2465, December.
    4. 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.
    5. Gabriele Tedeschi & Amin Mazloumian & Mauro Gallegati & Dirk Helbing, 2012. "Bankruptcy Cascades in Interbank Markets," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-10, December.
    6. Andrew G. Haldane & Robert M. May, 2011. "Systemic risk in banking ecosystems," Nature, Nature, vol. 469(7330), pages 351-355, January.
    7. Fabio Caccioli & Thomas A. Catanach & J. Doyne Farmer, 2012. "Heterogeneity, Correlations And Financial Contagion," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-15.
    8. Robert M. May & Simon A. Levin & George Sugihara, 2008. "Ecology for bankers," Nature, Nature, vol. 451(7181), pages 893-894, February.
    9. 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.
    10. J. Mukuddem-Petersen & M. A. Petersen, 2008. "Optimizing Asset and Capital Adequacy Management in Banking," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 205-230, April.
    11. Berardi, Simone & Tedeschi, Gabriele, 2017. "From banks' strategies to financial (in)stability," International Review of Economics & Finance, Elsevier, vol. 47(C), pages 255-272.
    12. 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.
    13. Eisert, Tim & Eufinger, Christian, 2014. "Interbank network and bank bailouts: Insurance mechanism for non-insured creditors?," SAFE Working Paper Series 10, Leibniz Institute for Financial Research SAFE, revised 2014.
    14. Lenzu, Simone & Tedeschi, Gabriele, 2012. "Systemic risk on different interbank network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4331-4341.
    15. 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.
    16. Lorella Fatone & Francesca Mariani, 2019. "Systemic risk governance in a dynamical model of a banking system," Journal of Global Optimization, Springer, vol. 75(3), pages 851-883, November.
    17. Li-Hsien Sun, 2018. "Systemic Risk and Interbank Lending," Journal of Optimization Theory and Applications, Springer, vol. 179(2), pages 400-424, November.
    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. Gabriele Tedeschi & Fabio Caccioli & Maria Cristina Recchioni, 2020. "Taming financial systemic risk: models, instruments and early warning indicators," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(1), pages 1-7, January.
    2. Tedeschi, Gabriele & Recchioni, Maria Cristina & Berardi, Simone, 2019. "An approach to identifying micro behavior: How banks’ strategies influence financial cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 329-346.
    3. Berardi, Simone & Tedeschi, Gabriele, 2017. "From banks' strategies to financial (in)stability," International Review of Economics & Finance, Elsevier, vol. 47(C), pages 255-272.
    4. Brini, Alessio & Tedeschi, Gabriele & Tantari, Daniele, 2023. "Reinforcement learning policy recommendation for interbank network stability," Journal of Financial Stability, Elsevier, vol. 67(C).
    5. Opeoluwa Banwo & Fabio Caccioli & Paul Harrald & Francesca Medda, 2016. "The Effect Of Heterogeneity On Financial Contagion Due To Overlapping Portfolios," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1-20, December.
    6. Andre R. Neveu, 2018. "A survey of network-based analysis and systemic risk measurement," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(2), pages 241-281, July.
    7. Tao Xu & Jianmin He & Shouwei Li, 2016. "Multi-Channel Contagion In Dynamic Interbank Market Network," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(06n07), pages 1-25, September.
    8. X. Zhang & L. D. Valdez & H. E. Stanley & L. A. Braunstein, 2019. "Modeling Risk Contagion in the Venture Capital Market: A Multilayer Network Approach," Complexity, Hindawi, vol. 2019, pages 1-11, December.
    9. Daniel Grigat & Fabio Caccioli, 2017. "Reverse stress testing interbank networks," Papers 1702.08744, arXiv.org, revised Mar 2017.
    10. Grilli, Ruggero & Tedeschi, Gabriele & Gallegati, Mauro, 2020. "Business fluctuations in a behavioral switching model: Gridlock effects and credit crunch phenomena in financial networks," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
    11. Fabio Caccioli & Paolo Barucca & Teruyoshi Kobayashi, 2018. "Network models of financial systemic risk: a review," Journal of Computational Social Science, Springer, vol. 1(1), pages 81-114, January.
    12. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    13. 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.
    14. V. Sasidevan & Nils Bertschinger, 2019. "Systemic Risk: Fire-Walling Financial Systems Using Network-Based Approaches," Papers 1912.05273, arXiv.org.
    15. Spiros Bougheas & Alan Kirman, 2015. "Complex Financial Networks and Systemic Risk: A Review," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 115-139, Springer.
    16. Jiang, Shanshan & Fan, Hong, 2021. "Systemic risk in the interbank market with overlapping portfolios and cross-ownership of the subordinated debts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    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. Teteryatnikova, Mariya, 2014. "Systemic risk in banking networks: Advantages of “tiered” banking systems," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 186-210.
    19. Shanshan Jiang & Hong Fan, 2019. "Systemic Risk in the Interbank Market with Overlapping Portfolios," Complexity, Hindawi, vol. 2019, pages 1-12, April.
    20. Paul Glasserman & H. Peyton Young, 2015. "Contagion in Financial Markets," Working Papers 15-21, Office of Financial Research, US Department of the Treasury.

    More about this item

    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:spr:jeicoo:v:15:y:2020:i:1:d:10.1007_s11403-019-00277-y. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.