IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v281y2020i2p449-463.html
   My bibliography  Save this article

Capital regulation under price impacts and dynamic financial contagion

Author

Listed:
  • Feinstein, Zachary

Abstract

We construct a continuous time model for price-mediated contagion precipitated by a common exogenous stress to the banking book of all firms in the financial system. In this setting, firms are constrained so as to satisfy a risk-weight based capital ratio requirement. We use this model to find analytical bounds on the risk-weights for assets as a function of the market liquidity. Under these appropriate risk-weights, we find existence and uniqueness for the joint system of firm behavior and the asset prices. We further consider an analytical bound on the firm liquidations, which allows us to construct exact formulas for stress testing the financial system with deterministic or random stresses. Numerical case studies are provided to demonstrate various implications of this model and analytical bounds.

Suggested Citation

  • Feinstein, Zachary, 2020. "Capital regulation under price impacts and dynamic financial contagion," European Journal of Operational Research, Elsevier, vol. 281(2), pages 449-463.
  • Handle: RePEc:eee:ejores:v:281:y:2020:i:2:p:449-463
    DOI: 10.1016/j.ejor.2019.08.044
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221719307143
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2019.08.044?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. Rama Cont & Lakshithe Wagalath, 2016. "Fire Sales Forensics: Measuring Endogenous Risk," Mathematical Finance, Wiley Blackwell, vol. 26(4), pages 835-866, October.
    2. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    3. Rama Cont & Lakshithe Wagalath, 2012. "Fire Sales Forensics: Measuring Endogenous Risk," Working Papers hal-00697224, HAL.
    4. 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.
    5. Rodrigo Cifuentes & Hyun Song Shin & Gianluigi Ferrucci, 2005. "Liquidity Risk and Contagion," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 556-566, 04/05.
    6. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    7. Samuel G. Hanson & Anil K. Kashyap & Jeremy C. Stein, 2011. "A Macroprudential Approach to Financial Regulation," Journal of Economic Perspectives, American Economic Association, vol. 25(1), pages 3-28, Winter.
    8. 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.
    9. Rama Cont & Eric Schaanning, 2017. "Fire sales, indirect contagion and systemic stress testing," Working Paper 2017/2, Norges Bank.
    10. Yann Braouezec & Lakshithe Wagalath, 2019. "Strategic fire-sales and price-mediated contagion in the banking system," Post-Print hal-02107567, HAL.
    11. Braouezec, Yann & Wagalath, Lakshithe, 2019. "Strategic fire-sales and price-mediated contagion in the banking system," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1180-1197.
    12. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
    13. Agostino Capponi & Martin Larsson, 2015. "Price Contagion through Balance Sheet Linkages," Review of Asset Pricing Studies, Oxford University Press, vol. 5(2), pages 227-253.
    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, 2020. "Reanimating a Dead Economy: Financial and Economic Analysis of a Zombie Outbreak," Papers 2003.09943, arXiv.org.
    2. Bichuch, Maxim & Feinstein, Zachary, 2022. "A repo model of fire sales with VWAP and LOB pricing mechanisms," European Journal of Operational Research, Elsevier, vol. 296(1), pages 353-367.
    3. Liu, Guo & Jin, Zhuo & Li, Shuanming, 2021. "Household Lifetime Strategies under a Self-Contagious Market," European Journal of Operational Research, Elsevier, vol. 288(3), pages 935-952.
    4. Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Oct 2021.
    5. Maxim Bichuch & Zachary Feinstein, 2020. "A Repo Model of Fire Sales with VWAP and LOB Pricing Mechanisms," Papers 2005.05364, arXiv.org, revised Mar 2021.
    6. Banerjee, Tathagata & Feinstein, Zachary, 2021. "Price mediated contagion through capital ratio requirements with VWAP liquidation prices," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1147-1160.

    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. Zachary Feinstein, 2018. "Capital Regulation under Price Impacts and Dynamic Financial Contagion," Papers 1807.02711, arXiv.org, revised Aug 2019.
    2. Bichuch, Maxim & Feinstein, Zachary, 2022. "A repo model of fire sales with VWAP and LOB pricing mechanisms," European Journal of Operational Research, Elsevier, vol. 296(1), pages 353-367.
    3. Braouezec, Yann & Wagalath, Lakshithe, 2019. "Strategic fire-sales and price-mediated contagion in the banking system," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1180-1197.
    4. Kerstin Awiszus & Agostino Capponi & Stefan Weber, 2020. "Market Efficient Portfolios in a Systemic Economy," Papers 2003.10121, arXiv.org, revised May 2021.
    5. Banerjee, Tathagata & Feinstein, Zachary, 2021. "Price mediated contagion through capital ratio requirements with VWAP liquidation prices," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1147-1160.
    6. Nils Detering & Thilo Meyer-Brandis & Konstantinos Panagiotou & Daniel Ritter, 2020. "Suffocating Fire Sales," Papers 2006.08110, arXiv.org, revised Nov 2021.
    7. Tiziano Squartini & Guido Caldarelli & Giulio Cimini & Andrea Gabrielli & Diego Garlaschelli, 2018. "Reconstruction methods for networks: the case of economic and financial systems," Papers 1806.06941, arXiv.org.
    8. Maxim Bichuch & Zachary Feinstein, 2020. "A Repo Model of Fire Sales with VWAP and LOB Pricing Mechanisms," Papers 2005.05364, arXiv.org, revised Mar 2021.
    9. Luitgard Anna Maria Veraart, 2020. "Distress and default contagion in financial networks," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 705-737, July.
    10. 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.
    11. Covi, Giovanni & Gorpe, Mehmet Ziya & Kok, Christoffer, 2021. "CoMap: Mapping Contagion in the Euro Area Banking Sector," Journal of Financial Stability, Elsevier, vol. 53(C).
    12. 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.
    13. Stanislao Gualdi & Giulio Cimini & Kevin Primicerio & Riccardo Di Clemente & Damien Challet, 2016. "Statistically validated network of portfolio overlaps and systemic risk," Papers 1603.05914, arXiv.org, revised Sep 2016.
    14. Roman Garcia & Dimitri Lorenzani & Daniel Monteiro & Francesco Perticari & Bořek Vašíček & Lukas Vogel, 2021. "Financial Spillover and Contagion Risks in the Euro Area in 2007-2019," European Economy - Discussion Papers 2015 - 137, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    15. Zachary Feinstein & Andreas Sojmark, 2019. "A Dynamic Default Contagion Model: From Eisenberg-Noe to the Mean Field," Papers 1912.08695, arXiv.org.
    16. Hamed Amini & Zhongyuan Cao & Agnes Sulem, 2021. "Fire Sales, Default Cascades and Complex Financial Networks," Working Papers hal-03425599, HAL.
    17. Ramadiah, Amanah & Caccioli, Fabio & Fricke, Daniel, 2020. "Reconstructing and stress testing credit networks," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    18. T. R. Hurd, 2018. "Bank Panics And Fire Sales, Insolvency And Illiquidity," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 1-30, September.
    19. Farmer, J. Doyne & Kleinnijenhuis, Alissa & Goodhart, Charles, 2021. "Systemic implications of the bail-in design," INET Oxford Working Papers 2021-21, Institute for New Economic Thinking at the Oxford Martin School, University of Oxford.
    20. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.

    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:eee:ejores:v:281:y:2020:i:2:p:449-463. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.elsevier.com/locate/eor .

    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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.