Construction of a financial risk engineering model for banking supervision in the face of systemic crises
DOI:
https://doi.org/10.21754/iecos.v17i0.1270Keywords:
BVAR model, posteriori, a prioriAbstract
The paper develops a model that improves the measurement of correlations present in stress scenarios through the use of copulas, reorders the propagation of shocks and involves expert judgments to improve predictions through a Bayesian VAR, it is shown that, under scenarios of a systemic crisis, losses can reach high percentages. Considering a loss rate associated with counterparty default of 45% and a default threshold between 4% and 8% suggested by the Basel Committee on Banking Supervision, it is estimated that an external shock can generate falls of more than 10% in the different financial variables: the savings rate, stock market indexes, the exchange rate, among others. If a counterparty defaults, it generates 45% of the associated losses (exposure), each institution absorbs 45% of its exposures. The model constructed is applicable to regulatory agencies because it exposes a propagation mechanism through a financial contagion resulting from an external shock and subjected to stress tests. Taking into account the above assumptions, it is found that real variables can be affected by more than 15%. Although these rates are extreme and the stress scenario unlikely, it is necessary to consider these effects for the prevention of systemic crises, so it is advisable for regulatory authorities to emphasize the regulatory capital required from financial institutions.
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Adrian, T., & Brunnermeier, M. K. (2009). CoVaR. Technical report, Federal Reserve Bank of New York and Princeton University.
Bouyé, E., Roncalli, T., Durrleman, V., Nikeghbali, A., & Riboulet, G. (2000). Copulas for finance: A reading guide and some applications. Technical report, Financial Econometrics Research Centre y Groupe de Recherche Opérationnelle, Bercy Expo, Immeuble Bercy Sud, 4é étage, 90 quai de Bercy, 75613 Paris Cedex 12, France.
Casella, G., & George, E. I. (1992). Explaining the Gibbs sampler. The American Statistician, 46(3), 167–174.
Chib, S., & Greenberg, E. (1995). Understanding the Metropolis-Hastings algorithm. The American Statistician, 49(4), 327–335.
Demarta, S., & McNeil, A. (2004). The t copula and related copulas. Technical Report 11-17, Federal Institute of Technology, ETH Zentrum, CH-8092 Zurich.
Diebold, F. X., Rudebusch, G. D., & Aruoba, S. B. (2004). The macroeconomy and the yield curve: A dynamic latent factor approach. Technical Report 10616, National Bureau of Economic Research, 1050 Massachusetts Avenue, Cambridge, MA 02138.
Embrechts, P., Kluppelberg, C., & Mikosch, T. (2003). Modelling Extremal Events for Insurance and Finance. Springer-Verlag.
Graf, J. P., Guerrero, S., & López-Gallo, F. (2005). Interbank exposures and contagion: An empirical analysis for the Mexican banking sector. Technical report, Banco de México, Av. 5 de mayo No. 1-Mezzanine, Col. Centro, 06059 México D.F.
Hamilton, J. D. (1994). Time Series Analysis. Princeton University Press.
Hull, J. (2007). Risk Management and Financial Institutions. Pearson Prentice Hall.
Koop, G., & Korobilis, D. (2010). Bayesian multivariate time series methods for empirical macroeconomics. Technical report, University of Strathclyde.
Korobilis, D. (2011). VAR forecasting using Bayesian variable selection. ECORE, 46.
Lehar, A. (2005). A risk management approach. Journal of Financial Economics, 29(10), 2577–2603.
Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer.
Martínez-Jaramillo, S., López, C., Pérez, O., Ávila, F., & López-Gallo, F. (2010). Systemic risk, stress testing and financial contagion: Their interaction and measurement. Technical report, Banco de México, Av. 5 de mayo No. 1-Mezzanine, Col. Centro, 06059 México D.F.
Martínez-Jaramillo, S., Pérez, O., Ávila, F., & López-Gallo, F. (2010). Systemic risk, financial contagion and financial fragility. Journal of Economic Dynamics and Control, 34, 2358–2374.
McCulloch, J. (1971). Measuring the term structure of interest rates. Econometrica, 44, 19–31.
Nelsen, R. B. (2006). An Introduction to Copulas. Springer Series in Statistics.
Nelson, C. R., & Siegel, A. F. (1987). Parsimonious modeling of yield curves. The Journal of Business, 60(4), 473–489.
Svensson, L. (1994). Estimating and interpreting forward interest rates: Sweden 1992-1994. Technical Report 4871, National Bureau of Economic Research, 1050 Massachusetts Avenue, Cambridge, MA 02138.
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Copyright (c) 2016 Rafael Caparó
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