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Capital Regulation under Price Impacts and Dynamic Financial Contagion

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  • Zachary Feinstein

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

  • Zachary Feinstein, 2018. "Capital Regulation under Price Impacts and Dynamic Financial Contagion," Papers 1807.02711, arXiv.org, revised Aug 2019.
    • Handle: RePEc:arx:papers:1807.02711
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    References listed on IDEAS

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    12. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
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    16. 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.
    17. 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.
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    Cited by:

    1. Zachary Feinstein & Andreas Sojmark, 2019. "A Dynamic Default Contagion Model: From Eisenberg-Noe to the Mean Field," Papers 1912.08695, arXiv.org.
    2. Tathagata Banerjee & Zachary Feinstein, 2019. "Price mediated contagion through capital ratio requirements with VWAP liquidation prices," Papers 1910.12130, arXiv.org, revised Feb 2021.

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