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Price mediated contagion through capital ratio requirements with VWAP liquidation prices

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  • Banerjee, Tathagata
  • Feinstein, Zachary

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

  • 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.
  • Handle: RePEc:eee:ejores:v:295:y:2021:i:3:p:1147-1160
    DOI: 10.1016/j.ejor.2021.03.053
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    References listed on IDEAS

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    13. Feinstein, Zachary, 2020. "Capital regulation under price impacts and dynamic financial contagion," European Journal of Operational Research, Elsevier, vol. 281(2), pages 449-463.
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    Cited by:

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    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Zachary Feinstein & Andreas Sojmark, 2022. "Endogenous Distress Contagion in a Dynamic Interbank Model," Papers 2211.15431, arXiv.org, revised Sep 2023.

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