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Price mediated contagion through capital ratio requirements with VWAP liquidation prices

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  • Tathagata Banerjee
  • Zachary Feinstein

Abstract

We develop a framework for price-mediated contagion in financial systems where banks are forced to liquidate assets to satisfy a risk-weight based capital adequacy requirement. In constructing this modeling framework, we introduce a two-tier pricing structure: the volume weighted average price that is obtained by any bank liquidating assets and the terminal mark-to-market price used to account for all assets held at the end of the clearing process. We consider the case of multiple illiquid assets and develop conditions for the existence and uniqueness of clearing prices. We provide a closed-form representation for the sensitivity of these clearing prices to the system parameters, and use this result to quantify: (1) the cost of regulation, in stress scenarios, faced by the system as a whole and the individual banks, and (2) the value of providing bailouts to consider when such notions are financially advisable. Numerical case studies are provided to study the application of this model to data.

Suggested Citation

  • Tathagata Banerjee & Zachary Feinstein, 2019. "Price mediated contagion through capital ratio requirements with VWAP liquidation prices," Papers 1910.12130, arXiv.org, revised Feb 2021.
    • Handle: RePEc:arx:papers:1910.12130
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    References listed on IDEAS

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    1. Adrian, Tobias & Shin, Hyun Song, 2010. "Liquidity and leverage," Journal of Financial Intermediation, Elsevier, vol. 19(3), pages 418-437, July.
    2. ten Raa,Thijs, 2006. "The Economics of Input-Output Analysis," Cambridge Books, Cambridge University Press, number 9780521602679, October.
    3. Mathias Pohl & Alexander Ristig & Walter Schachermayer & Ludovic Tangpi, 2017. "The amazing power of dimensional analysis: Quantifying market impact," Papers 1702.05434, arXiv.org, revised Sep 2017.
    4. Douglas W. Diamond & Raghuram G. Rajan, 2011. "Fear of Fire Sales, Illiquidity Seeking, and Credit Freezes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 557-591.
    5. Fernando Duarte & Thomas M. Eisenbach, 2021. "Fire‐Sale Spillovers and Systemic Risk," Journal of Finance, American Finance Association, vol. 76(3), pages 1251-1294, June.
    6. Rama Cont & Eric Schaanning, 2017. "Fire sales, indirect contagion and systemic stress testing," Working Paper 2017/2, Norges Bank.
    7. Cont, Rama & Schaanning, Eric, 2019. "Monitoring indirect contagion," Journal of Banking & Finance, Elsevier, vol. 104(C), pages 85-102.
    8. 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.
    9. Zachary Feinstein, 2018. "Capital Regulation under Price Impacts and Dynamic Financial Contagion," Papers 1807.02711, arXiv.org, revised Aug 2019.
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    Citations

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    Cited by:

    1. Zachary Feinstein, 2020. "Reanimating a Dead Economy: Financial and Economic Analysis of a Zombie Outbreak," Papers 2003.09943, arXiv.org.
    2. Zachary Feinstein & Andreas Sojmark, 2022. "Endogenous distress contagion in a dynamic interbank model: how possible future losses may spell doom today," Papers 2211.15431, arXiv.org, revised Aug 2024.
    3. 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.
    4. Zachary Feinstein, 2022. "Continuity and sensitivity analysis of parameterized Nash games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 233-249, October.
    5. Pang, Raymond Ka-Kay & Veraart, Luitgard Anna Maria, 2023. "Assessing and mitigating fire sales risk under partial information," Journal of Banking & Finance, Elsevier, vol. 155(C).
    6. Pang, Raymond Ka-Kay & Veraart, Luitgard A. M., 2023. "Assessing and mitigating fire sales risk under partial information," LSE Research Online Documents on Economics 120171, London School of Economics and Political Science, LSE Library.
    7. Breuer, Thomas & Summer, Martin & Urošević, Branko, 2023. "Bank solvency stress tests with fire sales," Journal of Financial Stability, Elsevier, vol. 67(C).
    8. Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Apr 2022.
    9. Braouezec, Yann & Kiani, Keyvan, 2023. "Economic foundations of generalized games with shared constraint: Do binding agreements lead to less Nash equilibria?," European Journal of Operational Research, Elsevier, vol. 308(1), pages 467-479.
    10. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Journal of Economic Dynamics and Control, Elsevier, vol. 155(C).
    11. Michel Baes & Eric Schaanning, 2023. "Reverse stress testing: Scenario design for macroprudential stress tests," Mathematical Finance, Wiley Blackwell, vol. 33(2), pages 209-256, April.
    12. Zhiyu Cao & Zihan Chen & Prerna Mishra & Hamed Amini & Zachary Feinstein, 2023. "Modeling Inverse Demand Function with Explainable Dual Neural Networks," Papers 2307.14322, arXiv.org, revised Oct 2023.
    13. Zhiyu Cao & Zachary Feinstein, 2023. "Price-mediated contagion with endogenous market liquidity," Papers 2311.05977, arXiv.org, revised Sep 2024.

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