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Capital regulation under price impacts and dynamic financial contagion

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  • 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
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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. 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. Giuseppe C. Calafiore & Giulia Fracastoro & Anton V. Proskurnikov, 2022. "Clearing Payments in Dynamic Financial Networks," Papers 2201.12898, arXiv.org, revised May 2022.
    4. 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.
    5. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Journal of Economic Dynamics and Control, Elsevier, vol. 155(C).
    6. 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.
    7. Rudiger Frey & Theresa Traxler, 2024. "Playing with Fire? A Mean Field Game Analysis of Fire Sales and Systemic Risk under Regulatory Capital Constraints," Papers 2406.17528, arXiv.org.
    8. Maxim Bichuch & Zachary Feinstein, 2020. "Endogenous inverse demand functions," Papers 2012.08002, arXiv.org, revised Apr 2022.
    9. 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.
    10. Hong Chen & Tan Wang & David D. Yao, 2021. "Financial Network and Systemic Risk—A Dynamic Model," Production and Operations Management, Production and Operations Management Society, vol. 30(8), pages 2441-2466, August.
    11. 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.
    12. 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).
    13. Feinstein, Zachary & Hałaj, Grzegorz, 2023. "Interbank asset-liability networks with fire sale management," Working Paper Series 2806, European Central Bank.
    14. Zhiyu Cao & Zachary Feinstein, 2023. "Price-mediated contagion with endogenous market liquidity," Papers 2311.05977, arXiv.org, revised Sep 2024.

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