Capital regulation under price impacts and dynamic financial contagion

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15 Scopus citations

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.

Original languageEnglish
Pages (from-to)449-463
Number of pages15
JournalEuropean Journal of Operational Research
Volume281
Issue number2
DOIs
StatePublished - 1 Mar 2020

Keywords

  • Finance
  • Financial contagion
  • Fire sales
  • Risk-weighted assets
  • Stress testing

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