Prague Economic Papers 2008, 17(4):340-355 | DOI: 10.18267/j.pep.336

Stress testing of probability of default of individuals

Petr Kadeřábek1, Aleš Slabý2, Josef Vodička3
1 Komerční banka, a.s., Praha; The Institute of Economic Studies of the Charles University, Praha (petrkaderabek@seznam.cz).
2 Komerční banka, a.s., Praha (ales_slaby@kb.cz).
3 Komerční banka, a.s., Praha; Société Genérale, Paris (Josef.Vodicka@socgen.com).

This paper introduces a model for stress testing of probability of default of individuals. The model rests on assumption that the individual defaults if his savings fall below zero. The probability of default is then described as a function of several macroeconomic indicators, such as wages, unemployment and interest rates. Stress testing is carried out by applying exogenous stress scenarios for development of these indicators. The model implies that sensitivity of probability of default to the stress is mainly driven by installment to income ratio and for mortgages also by loan maturity. Hence installment to income ratio is suggested as the appropriate tool to manage credit risk of retail portfolios.

Keywords: credit risk, stress testing, banking, probability of default
JEL classification: E21, E32, G21

Published: January 1, 2008  Show citation

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Kadeřábek, P., Slabý, A., & Vodička, J. (2008). Stress testing of probability of default of individuals. Prague Economic Papers17(4), 340-355. doi: 10.18267/j.pep.336
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References

  1. Abel, A. (1990), "Asset Prices under Habit Formation and Catching Up with the Joneses." American Economic Review, 1990, 80, pp. 38-42. Go to original source...
  2. Campbell, J. Y., Cochrane, J. H. (1999), "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior." The Journal of Political Economy, 1999, 107 (2), pp. 205-251. Go to original source...
  3. Committee of European Banking Supervisors (2006), "Technical Aspects of Stress Testing under the Supervisory Review Process." CEBS Consultation Paper 12, 2006.
  4. Gross, D. B., Souleles, N. S. (2001), "An Empirical Analysis of Personal Bankruptcy and Delinquency." National Bureau of Economic Research Working Paper 8409, 2001. Go to original source...
  5. Hayashi, F. (2000), Econometrics. Princeton: Princeton University Press, 2000.
  6. Heřmánek, J., Hlaváček, M., Jakubík, P. (2007), "Credit Risk, Credit Growth Models and Stress Testing." CNB Economic Research Bulletin, 2007, 1, pp. 2-5.
  7. Jakubík, P. (2007), "Macroeconomic Environment and Credit Risk." Czech Journal of Economics and Finance (Finance a úvěr), 2007, 57, pp. 60-78.
  8. Merton, R. (1974), "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates." Journal of Finance, 1974, 29, pp. 449-470. Go to original source...
  9. Vasicek, O. (2002), "The Distribution of Loan Portfolio Value." Risk, 2002, 15, pp. 160-162.
  10. Whitley, J., Windram, R., Cox, P. (2004), "An Empirical Model of Household Arrears." Bank of England Working Paper 214, 2004. Go to original source...

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