Capital regulation under price impacts and dynamic financial contagion. (English) Zbl 1431.91420
Summary: 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.
MSC:
| 91G45 | Financial networks (including contagion, systemic risk, regulation) |
References:
| [1] | Amini, H.; Filipović, D.; Minca, A., Uniqueness of equilibrium in a payment system with liquidation costs, Operations Research Letters, 44, 1, 1-5 (2016) · Zbl 1408.91244 |
| [2] | Bichuch, M.; Feinstein, Z., Optimization of fire sales and borrowing in systemic risk, SIAM Journal on Financial Mathematics, 10, 1, 68-88 (2019) · Zbl 1411.91639 |
| [3] | Braouezec, Y.; Wagalath, L., Risk-based capital requirements and optimal liquidation in a stress scenario, Review of Finance, 22, 2, 747-782 (2018) · Zbl 1425.91420 |
| [4] | Braouezec, Y.; Wagalath, L., Strategic fire-sales and price-mediated contagion in the banking system, European Journal of Operational Research, 274, 3, 1180-1197 (2019) · Zbl 1431.91417 |
| [5] | Caccioli, F.; Shrestha, M.; Moore, C.; Farmer, J. D., Stability analysis of financial contagion due to overlapping portfolios, Journal of Banking & Finance, 46, 233-245 (2014) |
| [6] | Capponi, A.; Larsson, M., Price contagion through balance sheet linkages, Review of Asset Pricing Studies, 5, 2, 227-253 (2015) |
| [7] | Chen, N.; Liu, X.; Yao, D. D., An optimization view of financial systemic risk modeling: The network effect and the market liquidity effect, Operations Research, 64, 5, 1089-1108 (2016) · Zbl 1352.90091 |
| [8] | Cifuentes, R.; Shin, H. S.; Ferrucci, G., Liquidity risk and contagion, Journal of the European Economic Association, 3, 2-3, 556-566 (2005) |
| [9] | Cont, R.; Schaanning, E., Fire sales, indirect contagion and systemic stress testing (2017) |
| [10] | Cont, R.; Wagalath, L., Running for the exit: Distressed selling and endogenous correlation in financial markets, Mathematical Finance, 23, 4, 718-741 (2013) · Zbl 1275.91057 |
| [11] | Cont, R.; Wagalath, L., Fire sale forensics: Measuring endogenous risk, Mathematical Finance, 26, 4, 835-866 (2016) · Zbl 1348.91291 |
| [12] | Eisenberg, L.; Noe, T. H., Systemic risk in financial systems, Management Science, 47, 2, 236-249 (2001) · Zbl 1232.91688 |
| [13] | Feinstein, Z., Financial contagion and asset liquidation strategies, Operations Research Letters, 45, 2, 109-114 (2017) · Zbl 1409.91288 |
| [14] | Forthcoming · Zbl 1471.91606 |
| [15] | Feinstein, Z.; El-Masri, F., The effects of leverage requirements and fire sales on financial contagion via asset liquidation strategies in financial networks, Statistics & Risk Modeling, 34, 3-4, 113-139 (2017) · Zbl 1378.91134 |
| [16] | Gai, P.; Kapadia, S., Contagion in financial networks, Bank of England Working Papers (2010), Bank of England · Zbl 1193.91192 |
| [17] | Greenlaw, D.; Kashyap, A. K.; Schoenholtz, K.; Shin, H. S., Stressed out: Macroprudential principles for stress testing (2012) |
| [18] | Greenwood, R.; Landier, A.; Thesmar, D., Vulnerable banks, Journal of Financial Economics, 115, 3, 471-485 (2015) |
| [19] | Hanson, S. G.; Kashyap, A. K.; Stein, J. C., A macroprudential approach to financial regulation, Journal of Economic Perspectives, 25, 1, 3-28 (2011) |
| [20] | Weber, S.; Weske, K., The joint impact of bankruptcy costs, fire sales and cross-holdings on systemic risk in financial networks, Probability, Uncertainty and Quantitative Risk, 2, 1, 9 (2017) · Zbl 1432.91133 |
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