IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2005.05364.html
   My bibliography  Save this paper

A Repo Model of Fire Sales with VWAP and LOB Pricing Mechanisms

Author

Listed:
  • Maxim Bichuch
  • Zachary Feinstein

Abstract

We consider a network of banks that optimally choose a strategy of asset liquidations and borrowing in order to cover short term obligations. The borrowing is done in the form of collateralized repurchase agreements, the haircut level of which depends on the total liquidations of all the banks. Similarly the fire-sale price of the asset obtained by each of the banks depends on the amount of assets liquidated by the bank itself and by other banks. By nature of this setup, banks' behavior is considered as a Nash equilibrium. This paper provides two forms for market clearing to occur: through a common closing price and through an application of the limit order book. The main results of this work are providing the existence of maximal and minimal clearing solutions (i.e., liquidations, borrowing, fire sale prices, and haircut levels) as well as sufficient conditions for uniqueness of the clearing solutions.

Suggested Citation

  • 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.
    • Handle: RePEc:arx:papers:2005.05364
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2005.05364
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gara Afonso & Kyungmin Kim & Antoine Martin & Ed Nosal & Simon M. Potter & Sam Schulhofer-Wohl, 2020. "Monetary Policy Implementation with an Ample Supply of Reserves," FRB Atlanta Working Paper 2020-2, Federal Reserve Bank of Atlanta.
    2. Gai, Prasanna & Kapadia, Sujit, 2010. "Contagion in financial networks," Bank of England working papers 383, Bank of England.
    3. Yann Braouezec & Lakshithe Wagalath, 2018. "Risk-Based Capital Requirements and Optimal Liquidation in a Stress Scenario," Post-Print hal-02505173, HAL.
    4. Helmut Elsinger, 2009. "Financial Networks, Cross Holdings, and Limited Liability," Working Papers 156, Oesterreichische Nationalbank (Austrian Central Bank).
    5. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    6. 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.
    7. Grzegorz Haᴌaj & Christoffer Kok, 2015. "Modelling the emergence of the interbank networks," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 653-671, April.
    8. 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.
    9. Kartik Anand & Ben Craig & Goetz von Peter, 2015. "Filling in the blanks: network structure and interbank contagion," Quantitative Finance, Taylor & Francis Journals, vol. 15(4), pages 625-636, April.
    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. 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.
    13. Glasserman, Paul & Young, H. Peyton, 2015. "How likely is contagion in financial networks?," Journal of Banking & Finance, Elsevier, vol. 50(C), pages 383-399.
    14. 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.
    15. Upper, Christian, 2011. "Simulation methods to assess the danger of contagion in interbank markets," Journal of Financial Stability, Elsevier, vol. 7(3), pages 111-125, August.
    16. 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.
    17. Markus K. Brunnermeier, 2009. "Deciphering the Liquidity and Credit Crunch 2007-2008," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 77-100, Winter.
    18. Feinstein, Zachary, 2020. "Capital regulation under price impacts and dynamic financial contagion," European Journal of Operational Research, Elsevier, vol. 281(2), pages 449-463.
    19. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
    20. Jane E. Ihrig & Zeynep Senyuz & Gretchen C. Weinbach, 2020. "The Fed’s “Ample-Reserves” Approach to Implementing Monetary Policy," Finance and Economics Discussion Series 2020-022, Board of Governors of the Federal Reserve System (U.S.).
    21. 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.
    22. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    23. Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 677-684.
    24. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.
    25. Gai, Prasanna & Haldane, Andrew & Kapadia, Sujit, 2011. "Complexity, concentration and contagion," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 453-470.
    26. 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.
    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. Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Apr 2022.

    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 & Weijie Pang & Birgit Rudloff & Eric Schaanning & Stephan Sturm & Mackenzie Wildman, 2017. "Sensitivity of the Eisenberg-Noe clearing vector to individual interbank liabilities," Papers 1708.01561, arXiv.org, revised Oct 2018.
    2. Maxim Bichuch & Nils Detering, 2022. "Optimal Support for Distressed Subsidiaries -- a Systemic Risk Perspective," Papers 2201.12731, arXiv.org, revised Mar 2024.
    3. Tathagata Banerjee & Zachary Feinstein, 2018. "Impact of Contingent Payments on Systemic Risk in Financial Networks," Papers 1805.08544, arXiv.org, revised Dec 2018.
    4. Maxim Bichuch & Zachary Feinstein, 2018. "Optimization of Fire Sales and Borrowing in Systemic Risk," Papers 1802.04232, arXiv.org, revised Oct 2018.
    5. 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.
    6. 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.
    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. 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.
    9. Tathagata Banerjee & Alex Bernstein & Zachary Feinstein, 2018. "Dynamic Clearing and Contagion in Financial Networks," Papers 1801.02091, arXiv.org, revised Jun 2024.
    10. 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.
    11. Hamed Amini & Zachary Feinstein, 2020. "Optimal Network Compression," Papers 2008.08733, arXiv.org, revised Jul 2022.
    12. 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.
    13. Amini, Hamed & Bichuch, Maxim & Feinstein, Zachary, 2023. "Decentralized payment clearing using blockchain and optimal bidding," European Journal of Operational Research, Elsevier, vol. 309(1), pages 409-420.
    14. 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.
    15. Paul Glasserman & H. Peyton Young, 2015. "Contagion in Financial Markets," Working Papers 15-21, Office of Financial Research, US Department of the Treasury.
    16. Amini, Hamed & Feinstein, Zachary, 2023. "Optimal network compression," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1439-1455.
    17. Barnett, William A. & Wang, Xue & Xu, Hai-Chuan & Zhou, Wei-Xing, 2022. "Hierarchical contagions in the interdependent financial network," Journal of Financial Stability, Elsevier, vol. 61(C).
    18. Luitgard Anna Maria Veraart, 2020. "Distress and default contagion in financial networks," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 705-737, July.
    19. Giulio Cimini & Matteo Serri, 2016. "Entangling Credit and Funding Shocks in Interbank Markets," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-15, August.
    20. Paul Glasserman & Peyton Young, 2015. "Contagion in Financial Networks," Economics Series Working Papers 764, University of Oxford, Department of Economics.

    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:arx:papers:2005.05364. 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.