FFA Working Papers 2:001 (2020)2172

Stressing of Migration Matrices for IFRS 9 and ICAAP Calculations

Jiří Witzany
University of Economics, Prague, Faculty of Finance and Accounting, Department of Banking and Insurance

Rating transition matrices have become a workhorse of the IFRS 9 expected credit loss and ICAAP stress test modelling. The standard method to stress a through-the-cycle transition matrix is based on a single factor Gaussian model with a correlation parameter that is usually estimated on the level of a product pool. The goal of the paper is to generalize the model allowing for more general distributional assumptions and to test empirically the sensitivity of the results with respect to these assumptions and different possible approaches to the correlation parameter estimation. We are not aware of any such empirical study in the literature. The results show that this dependence is very strong with the standard approach underestimating the results, as we argue, of a more precise calculation many times. Therefore, there is a significant model risk that needs to be taken into account in ICAAP/IFRS 9 implementation and dealt with in further research.

Keywords: ICAAP, IFRS 9 provisions, correlation, Probit model, Logit model
JEL classification: C51, G20, G28

Received: January 17, 2017; Revised: February 21, 2020; Accepted: February 21, 2020; Prepublished online: March 1, 2020; Published online: January 1, 2020  Show citation

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Witzany, J. (2020). Stressing of Migration Matrices for IFRS 9 and ICAAP Calculations. FFA Working Papers2, Article 2020.001. https://doi.org/10.XXXX/xxx.2020.001
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References

  1. BCBS (2006). Basel Committee on Banking Supervision, "International Convergence of Capital Measurement and Capital Standards, A Revised Framework - Comprehensive Version", Bank for International Settlements.
  2. BCBS (2018). Stress testing principles, Basel Committee on Banking Supervision, October.
  3. Belkin, B., Forest, L., and Suchover, S. (1998). A one-parameter representation of credit risk and transition matrices. Credit Metrics Monitor 1(3), 46-56.
  4. EBA (2018). Final Report - Guidelines on institutions' stress testing, EBA/GL/2018/04, European Banking Authority, 19 July.
  5. EBA (2019). 2020 EU-Wide Stress Test - Methodological Note, Draft document, European Banking Authority, 25 June
  6. ECB (2018). ECB Guide to the internal capital adequacy assessment process (ICAAP), European Central Bank, November.
  7. Figlewski, S., Frydman, H., & Liang, W. (2012). Modeling the effect of macroeconomic factors on corporate default and credit rating transitions. International Review of Economics & Finance, 21(1), 87-105. Go to original source...
  8. IASB (2014). IFRS 9: Financial instruments, International Accounting Standards Board.
  9. Malik, M., & Thomas, L. C. (2012). Transition matrix models of consumer credit ratings. International Journal of Forecasting, 28(1), 261-272. Go to original source...
  10. Miu, Peter and Ozdemir, Bogie (2008). Stress-Testing Probability of Default and Migration Rate with Respect to Basel II Requirements. SSRN Go to original source...
  11. Nickell, P., Perraudin, W., & Varotto, S. (2000). Stability of rating transitions. Journal of Banking & Finance, 24(1-2), 203-227. Go to original source...
  12. Perederiy, V. (2017). Sparse Structural Approach for Rating Transitions. arXiv preprint arXiv:1708.00062. Go to original source...
  13. Rubtsov, M., & Petrov, A. (2016). A point-in-time-through-the-cycle approach to rating assignment and probability of default calibration. Journal Of Risk Model Validation, 10(2), 83-112. Go to original source...
  14. Vasicek O. (1987). "Probability of Loss on a Loan Portfolio," KMV Working Paper.
  15. Witzany, J. (2011). A Two Factor Model for PD and LGD Correlation. Bulletin of the Czech Econometric Society, 18(28). Go to original source...
  16. Witzany, J. (2013). A Note on the Vasicek's Model with the Logistic Distribution. Ekonomický časopis, 61(10), 1053-1066.
  17. Witzany, J. (2017). Credit Risk Management: Pricing, Measurement, and Modeling. Springer. Go to original source...
  18. Yang, B. H. (2015). Stress Testing and Modeling of Rating Migration under the Vasicek Model Framework, Journal of Risk Model Validation, Vol. 9 / No.2. Go to original source...