Methodological approach of loss given default modeling in credit risk assessment
Abstract and keywords
Abstract:
The bank’s loss given default (LGD) – the proportion of losses incurred when a borrower defaults – is a critically important metric. Without its accurate forecasting, it is impossible to correctly assess the level of credit risk, adequately form reserves for expected credit losses, or calculate the sufficient amount of capital required to safeguard the institution’s financial stability against unexpected credit losses arising from loan defaults. This metric reflects the proportion of unpaid debt relative to its total amount and directly influences the level of provisioning, regulatory requirements, and strategic planning of banking operations. Predicting the losses given default requires considering several specific data properties, including multimodality, asymmetric distribution, constraints within the interval [0,1], and nonlinear relationships with explanatory factors. This article reviews studies focused on modeling the share of default losses within the credit risk assessment. Model quality metrics are discussed based on four key criteria: accuracy, discriminative ability, stability, and interpretability. The article provides with recommendations for model development and implementation. Hybrid models that combine the advantages of parametric and non-parametric approaches, as well as interpretable non-parametric models, are becoming increasingly popular in credit risk assessment due to their ability to offer both predictive accuracy and interpretability. Nevertheless, parametric models remain the base analytical tool and benchmark against which the performance gains of more sophisticated models can be compared.

Keywords:
credit risk, Loss Given Default, multimodal data distribution, interpretability, non-parametric models, hybrid models
Text
Text (PDF): Read Download
References

1. Baesens B., Smedts K. (2023). Boosting credit risk models. The British Accounting Review. DOI:https://doi.org/10.1016/j.bar.2023.101241

2. Baixauli S., Alvarez S. (2010). The Role of Market-Implied Severity Modeling for Credit VaR. Annals of Economics and Finance, Vol. 11, No. 2, pp. 337–353.

3. Bandyopadhyay A. (2022). Loan level loss given default (LGD) study of Indian banks. IIMB Management Review, Vol. 34, pp. 168–177. DOI:https://doi.org/10.1016/j.iimb.2022.06.003

4. Basel Committee on Banking Supervision. (2006). International Convergence of Capital Measurement and Capital Standards.

5. Bellotti A., Brigo D., Gambetti P., Vrins F. (2020). Forecasting recovery rates on non-performing loans with machine learning. International Journal of Forecasting. DOI:https://doi.org/10.1016/j.ijforecast.2020.06.009

6. Bellotti T., Crook J. (2009). Loss Given Default models for UK retail credit cards. CRC working paper 09/1.

7. Bijak K., Thomas L.C. (2015). Modelling LGD for unsecured retail loans using Bayesian methods. Journal of the Operational Research Society, Vol. 66, pp. 342–352. DOI:https://doi.org/10.1057/jors.2014.9

8. Bonini S., de Carvalho G. (2016). Econometric Approach for Basel II Loss Given Default Estimation: from Discount Rate to Final Multivariate Model.

9. Calabrese R. (2012). Estimating bank loans loss given default by generalized additive models.

10. Dahlin F., Storkitt S. (2014). Estimation of Loss Given Default for Low Default Portfolios. Royal Institute of Technology.

11. Dermine O., de Carvalho C.N. (2006). Bank loan losses-given-default: A case study. Journal of Banking & Finance, Vol. 30, pp. 1219–1243. DOI:https://doi.org/10.1016/j.jbankfin.2005.05.005

12. Fan M., Wu T.-H., Zhao Q. (2023). Assessing the Loss Given Default of Bank Loans Using the Hybrid Algorithms Multi-Stage Model. Systems, Vol. 11, 505. DOI:https://doi.org/10.3390/systems11100505

13. Frontczak R., Jaeger M., Schumacher B. (2017). From Power Curves to Discriminative Power: Measuring Model Performance of LGD Models. Journal of Mathematical Finance, Vol. 7, pp. 657–670. DOI:https://doi.org/10.4236/jmf.2017.73034

14. Grunert J., Weber M. (2009). Recovery rates of commercial lending: Empirical evidence for German companies. Journal of Banking & Finance, Vol. 33, pp. 505–513. DOI:https://doi.org/10.1016/j.jbankfin.2008.09.002

15. Gurtler M., Hibbeln M. (2013). Improvements in loss given default forecasts for bank loans. Journal of Banking & Finance, Vol. 37, pp. 2354–2366. DOI:https://doi.org/10.1016/j.jbankfin.2013.01.031

16. Han C., Jang Y. (2012). Effects of debt collection practices on loss given default. Journal of Banking and Finance.

17. Hurlin C., Leymarie J., Patin A. (2018). Loss functions for Loss Given Default model comparison. European Journal of Operational Research. DOI:https://doi.org/10.1016/j.ejor.2018.01.020

18. Jaber J.J., Ismail N., Ramli S.N.M., Albadareen B., Hamadneh N.N. (2021). Estimating Loss Given Default Based on Beta Regression. Computers, Materials & Continua, Vol. 66, No. 3. DOI:https://doi.org/10.32604/cmc.2021.014509

19. Jacobs Jr. M. (2024). Modeling Ultimate Loss-Given-Default and Time-to-Resolution on Corporate Debt. Journal of Financial Risk Management, Vol. 13, pp. 426–459. DOI:https://doi.org/10.4236/jfrm.2024.132020

20. Jacobs M. (2010). An Option Theoretic Model for Ultimate Loss-Given-Default with Systematic Recovery Risk and Stochastic Returns on Defaulted Debt. Forthcoming in the Proceedings of the 2010 3rd Annual Joint Bank for International Settlements, World Bank and European Central Bank Public Investors Conference.

21. Joubert M., Verster T., Raubenheimer H., Schutte W.D. (2021). Adapting the Default Weighted Survival Analysis Modelling Approach to Model IFRS 9 LGD. Risks, Vol. 9, 103. DOI:https://doi.org/10.3390/risks9060103

22. Kaposty F., Kriebel J., Loderbusch M. (2019). Predicting loss given default in leasing: A closer look at models and variable selection. International Journal of Forecasting. DOI:https://doi.org/10.1016/j.ijforecast.2019.05.009

23. Kazianka H., Morgenbesser A., Nowak T. (2021). Assessing the discriminatory power of loss given default models. Journal of Applied Statistics. DOI:https://doi.org/10.1080/02664763.2021.1910936

24. Kruger S., Rosch D. (2017). Downturn LGD modeling using quantile regression. Journal of Banking and Finance, Vol. 79, pp. 42–56. DOI:https://doi.org/10.1016/j.jbankfin.2017.03.001

25. LaCour-Little M., Zhang Y. (2014). Default Probability and Loss Given Default for Home Equity Loans. Economics Working Paper 2014-1.

26. Leow M., Mues C. (2012). Predicting loss given default (LGD) for residential mortgage loans: A two-stage model and empirical evidence for UK bank data. International Journal of Forecasting, Vol. 28, pp. 183–195. DOI:https://doi.org/10.1016/j.ijforecast.2011.01.010

27. Li K., Zhou F., Li Z., Yao X., Zhang Y. (2021). Predicting loss given default using post-default information. Knowledge-Based Systems, Vol. 224, 107068. DOI:https://doi.org/10.1016/j.knosys.2021.107068

28. Loterman G., Brown I., Martens D., Mues C., Baesens B. (2012). Benchmarking regression algorithms for loss given default modeling. International Journal of Forecasting, Vol. 28, pp. 161–170. DOI:https://doi.org/10.1016/j.ijforecast.2011.01.006

29. Maarse B. (2012). Master Thesis Backtesting Framework for PD, EAD and LGD. Rabobank International Quantitative Risk Analytics.

30. Miller P., Tows E. (2017). Loss Given Default Adjusted Workout Processes for Leases. Journal of Banking and Finance. DOI:https://doi.org/10.1016/j.jbankfin.2017.01.020

31. Miller P. (2017). Modeling and Estimating the Loss Given Default of Leasing Contracts.

32. Nazemi A., Fabozzi F.J. (2018). Macroeconomic variable selection for creditor recovery rates. Journal of Banking and Finance, Vol. 89, pp. 14–25. DOI:https://doi.org/10.1016/j.jbankfin.2018.01.006

33. Nazemi A., Fatemipour F., Heidenreich K., Fabozzi F.J. (2017). Fuzzy Decision Fusion Approach for Loss-Given-Default Modeling. European Journal of Operational Research. DOI:https://doi.org/10.1016/j.ejor.2017.04.008

34. Nazemi A., Heidenreich K., Fabozzi F.J. (2018). Improving corporate bond recovery rate prediction using multi-factor support vector regressions. European Journal of Operational Research. DOI:https://doi.org/10.1016/j.ejor.2018.05.024

35. Polianskii Iu. (2021). Problemy otsenki kachestva modelei PVR. Sovremennye podkhody k validatsii modelei LGD. Risk-menedzhment v kreditnoi organizatsii, № 3.

36. Polozhenie Banka Rossii 845-P 02.11.2024. (2024). O poriadke rascheta velichiny kreditnogo riska bankami s primeneniem bankovskikh metodik upravleniia kreditnym riskom i modelei kolichestvennoi otsenki kreditnogo riska.

37. Ptak-Chmielewska A., Kopciuszewski P., Matuszyk A. (2023). Application of the kNN-Based Method and Survival Approach in Estimating Loss Given Default for Unresolved Cases. Risks, Vol. 11, 42. DOI:https://doi.org/10.3390/risks11020042

38. Qi M., Yang X. (2009). Loss given default of high loan-to-value residential mortgages. Journal of Banking & Finance, Vol. 33, pp. 788–799. DOI:https://doi.org/10.1016/j.jbankfin.2008.09.010

39. Qi M., Zhao X. (2011). Comparison of modeling methods for Loss Given Default. Journal of Banking & Finance, Vol. 35, pp. 2842–2855. DOI:https://doi.org/10.1016/j.jbankfin.2011.03.011

40. Schmit M., Stuyck J. (2002). Recovery Rates in the Leasing Industry.

41. Sigrist F., Stahel W.A. (2011). Using the censored gamma distribution for modeling fractional response variables with an application to loss given default. Astin Bulletin, Vol. 41, No. 2, pp. 673–710. DOI:https://doi.org/10.2143/AST.41.2.2136992

42. Somers M., Whittaker J. (2007). Quantile regression for modelling distributions of profit and loss. European Journal of Operational Research, Vol. 183, pp. 1477–1487. DOI:https://doi.org/10.1016/j.ejor.2006.08.063

43. Tanoue Y., Kawada A., Yamashita S. (2017). Forecasting loss given default of bank loans with multi-stage model. International Journal of Forecasting, Vol. 33, pp. 513–522. DOI:https://doi.org/10.1016/j.ijforecast.2016.11.005

44. Tong E.N.C., Mues C., Thoma L. (2013). A zero-adjusted gamma model for mortgage loan loss given default. International Journal of Forecasting, Vol. 29, pp. 548–562. DOI:https://doi.org/10.1016/j.ijforecast.2013.03.003

45. Vlasenko M. (2022). Postroenie modelei LGD dlia korporativnogo segmenta v ramkakh A-IRB-podkhoda s ispolzovaniem algoritma derevev reshenii. Bankauski viesnik, № 4 (705).

46. Yao X., Crook J., Andreeva G. (2014). Support vector regression for loss given default modelling. European Journal of Operational Research. DOI:https://doi.org/10.1016/j.ejor.2014.06.043

47. Yao X., Crook J., Andreeva G. (2017). Enhancing Two-Stage Modelling Methodology for Loss Given Default with Support Vector Machines. European Journal of Operational Research. DOI:https://doi.org/10.1016/j.ejor.2017.05.017


Login or Create
* Forgot password?