IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1710.00231.html
   My bibliography  Save this paper

Systemic risk in a mean-field model of interbank lending with self-exciting shocks

Author

Listed:
  • Anastasia Borovykh
  • Andrea Pascucci
  • Stefano la Rovere

Abstract

In this paper we consider a mean-field model of interacting diffusions for the monetary reserves in which the reserves are subjected to a self- and cross-exciting shock. This is motivated by the financial acceleration and fire sales observed in the market. We derive a mean-field limit using a weak convergence analysis and find an explicit measure-valued process associated with a large interbanking system. We define systemic risk indicators and derive, using the limiting process, several law of large numbers results and verify these numerically. We conclude that self-exciting shocks increase the systemic risk in the network and their presence in interbank networks should not be ignored.

Suggested Citation

  • Anastasia Borovykh & Andrea Pascucci & Stefano la Rovere, 2017. "Systemic risk in a mean-field model of interbank lending with self-exciting shocks," Papers 1710.00231, arXiv.org, revised Jun 2018.
    • Handle: RePEc:arx:papers:1710.00231
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1710.00231
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Emmanuel Bacry & Iacopo Mastromatteo & Jean-Franc{c}ois Muzy, 2015. "Hawkes processes in finance," Papers 1502.04592, arXiv.org, revised May 2015.
    2. Kay Giesecke & Konstantinos Spiliopoulos & Richard B. Sowers, 2011. "Default clustering in large portfolios: Typical events," Papers 1104.1773, arXiv.org, revised Feb 2013.
    3. Rama Cont & Amal Moussa & Edson B Santos, 2013. "Network structure and systemic risk in banking systems," Post-Print hal-00912018, HAL.
    4. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    5. Aït-Sahalia, Yacine & Cacho-Diaz, Julio & Laeven, Roger J.A., 2015. "Modeling financial contagion using mutually exciting jump processes," Journal of Financial Economics, Elsevier, vol. 117(3), pages 585-606.
    6. Agostino Capponi & Martin Larsson, 2015. "Price Contagion through Balance Sheet Linkages," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 5(2), pages 227-253.
    7. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    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. Zachary Feinstein & Andreas Sojmark, 2019. "A Dynamic Default Contagion Model: From Eisenberg-Noe to the Mean Field," Papers 1912.08695, arXiv.org.
    2. Yaguang Wu & Qingan Qiu, 2022. "Optimal Triggering Policy of Protective Devices Considering Self-Exciting Mechanism of Shocks," Mathematics, MDPI, vol. 10(15), pages 1-18, August.
    3. Chotipong Charoensom & Thaisiri Watewai, 2022. "Optimal Liquidity Control and Systemic Risk in an Interbank Network with Liquidity Shocks and Regime-dependent Interconnectedness," PIER Discussion Papers 175, Puey Ungphakorn Institute for Economic Research.
    4. 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.
    5. Sebastian Jaimungal, 2022. "Reinforcement learning and stochastic optimisation," Finance and Stochastics, Springer, vol. 26(1), pages 103-129, January.

    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. Nils Detering & Thilo Meyer-Brandis & Konstantinos Panagiotou & Daniel Ritter, 2018. "Financial Contagion in a Generalized Stochastic Block Model," Papers 1803.08169, arXiv.org, revised Dec 2019.
    2. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    3. Mark Paddrik & H. Peyton Young, 2016. "Contagion in the CDS Market," Working Papers 16-12, Office of Financial Research, US Department of the Treasury.
    4. Agostino Capponi & Xu Sun & David D. Yao, 2020. "A Dynamic Network Model of Interbank Lending—Systemic Risk and Liquidity Provisioning," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 1127-1152, August.
    5. 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.
    6. Feinstein Zachary & El-Masri Fatena, 2017. "The effects of leverage requirements and fire sales on financial contagion via asset liquidation strategies in financial networks," Statistics & Risk Modeling, De Gruyter, vol. 34(3-4), pages 113-139, September.
    7. Tathagata Banerjee & Zachary Feinstein, 2018. "Impact of Contingent Payments on Systemic Risk in Financial Networks," Papers 1805.08544, arXiv.org, revised Dec 2018.
    8. Linardi, Fernando & Diks, Cees & van der Leij, Marco & Lazier, Iuri, 2020. "Dynamic interbank network analysis using latent space models," Journal of Economic Dynamics and Control, Elsevier, vol. 112(C).
    9. 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.
    10. 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.
    11. 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.
    12. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
    13. Ioannis Anagnostou & Sumit Sourabh & Drona Kandhai, 2018. "Incorporating Contagion in Portfolio Credit Risk Models Using Network Theory," Complexity, Hindawi, vol. 2018, pages 1-15, January.
    14. Paddrick, Mark & Rajan, Sriram & Young, H. Peyton, 2020. "Contagion in derivatives markets," LSE Research Online Documents on Economics 100868, London School of Economics and Political Science, LSE Library.
    15. Ramírez, Carlos, 2020. "Regulating financial networks under uncertainty," ESRB Working Paper Series 107, European Systemic Risk Board.
    16. Bardoscia, Marco & Barucca, Paolo & Codd, Adam Brinley & Hill, John, 2019. "Forward-looking solvency contagion," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    17. Kerstin Awiszus & Agostino Capponi & Stefan Weber, 2020. "Market Efficient Portfolios in a Systemic Economy," Papers 2003.10121, arXiv.org, revised May 2021.
    18. Roukny, Tarik & Battiston, Stefano & Stiglitz, Joseph E., 2018. "Interconnectedness as a source of uncertainty in systemic risk," Journal of Financial Stability, Elsevier, vol. 35(C), pages 93-106.
    19. Carlos Ramírez, 2019. "Regulating Financial Networks Under Uncertainty," Finance and Economics Discussion Series 2019-056, Board of Governors of the Federal Reserve System (U.S.).
    20. Mark Paddrik & Sriram Rajan & H. Peyton Young, 2020. "Contagion in Derivatives Markets," Management Science, INFORMS, vol. 66(8), pages 3603-3616, August.

    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:arx:papers:1710.00231. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.