DOI QR코드

DOI QR Code

A dynamic Bayesian approach for probability of default and stress test

  • 투고 : 2020.08.10
  • 심사 : 2020.08.25
  • 발행 : 2020.09.30

초록

Obligor defaults are cross-sectionally correlated as obligors share common economic conditions; in addition obligors are longitudinally correlated so that an economic shock like the IMF crisis in 1998 lasts for a period of time. A longitudinal correlation should be used to construct statistical scenarios of stress test with which we replace a type of artificial scenario that the banks have used. We propose a Bayesian model to accommodate such correlation structures. Using 402 obligors to a domestic bank in Korea, our model with a dynamic correlation is compared to a Bayesian model with a stationary longitudinal correlation and the classical logistic regression model. Our model generates statistical financial statement under a stress situation on individual obligor basis so that the genearted financial statement produces a similar distribution of credit grades to when the IMF crisis occurred and complies with Basel IV (Basel Committee on Banking Supervision, 2017) requirement that the credit grades under a stress situation are not sensitive to the business cycle.

키워드

참고문헌

  1. Albert J and Chib S (1993). Bayesian analysis of binary and polychotomous response data, Journal of the American Statistical Association, 88, 669-679. https://doi.org/10.1080/01621459.1993.10476321
  2. Bade B, Roesch D, and Scheule H (2011). Default and recovery risk dependencies in simple credit risk, European Financial Management, 71, 120-144.
  3. Basel Committee on Banking Supervision (2017). Basel IV.
  4. Cargnoni C, Muller P, and West M (1997). Bayesian forecasting of multinomial time series through conditional Gaussian dynamic models, Journal of the American Statistical Association, 92, 640-647. https://doi.org/10.1080/01621459.1997.10474015
  5. Condon P (2014). Applied Bayesian Modeling (2nd Ed.), John Wiley & Sons, New York.
  6. Davis M and Lo V (2001). Infectious defaults, Quantitative Finance, 1, 382-387. https://doi.org/10.1080/713665832
  7. Duffie D, Saita L, and Wang K (2007). Multi-period corporate default prediction with stochastic covariates, Journal of Financial Economics, 83, 635-665. https://doi.org/10.1016/j.jfineco.2005.10.011
  8. Egloff D, Leippold M, and Vanini P (2004). A Simple Model of Credit Contagion, Preprint, Swiss Banking Institute, University of Zurich.
  9. Gelman A and Rubin DB (1992). Inference from iterative simulation using multiple sequences, Statistical Science, 7, 457-472. https://doi.org/10.1214/ss/1177011136
  10. Ghosh A, Mukhopadhyay S, Roy S, and Bhattacharya S (2014). Bayesian inference in nonparameric dynamic state-space models, Statistical Methodology, 21, 35-48. https://doi.org/10.1016/j.stamet.2014.02.004
  11. Greene WH (2017). Econometric Analysis (8th ed), Pearson Education, New York.
  12. Heynderickx W, Cariboni J, Schoutens W, and Smits B (2016). The relationship between risk-neutral and actual default probabilities: the credit risk premium, Applied Econometrics, 84, 4066-4081
  13. Hu YT, Kiesel R, and Perraudin W (2002). The estimation of transition matrices for sovereign credit ratings, Journal of Banking & Finance, 26, 1383-1406. https://doi.org/10.1016/S0378-4266(02)00268-6
  14. Li W (2016). Probability of default and default correlations, Journal of Risk and Financial Management, 9, 1-19. https://doi.org/10.3390/jrfm9010001
  15. Oh M, Choi JW, and Kim D (2003). Bayesian inference and model selection in latent class logit models with parameter constraints: an application to market segmentation, Journal of Applied Statistics, 30, 191-204. https://doi.org/10.1080/0266476022000023749
  16. Reilly C, Gelman A, and Katz J (2001). Postratification without population level information on the poststratifying variable, with application to political polling, Journal of the American Statistical Association, 96, 640-647. https://doi.org/10.1198/016214501753168316
  17. Sobelhart J and Keenan S (2001). Measuring default accurately, Credit Risk Special Report, Risk, 14, 31-33
  18. Wendin JEP (2006). Bayesian Method in Portfolio Credit Risk Management (Doctoral Thesis), Swiss Federal Institute of Technology.
  19. Xiao JY (2002). Obligor in CreditMetrics, Research Technical Note, RiskMetrics Group.