Lifetime Probability of Default using Survival Tree-Based Models

Joao Paulo Vieira Costa, Cayan Atreio Portela, Hebert Kimura, M. Ladeira, Frederico Barros Diniz
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Abstract

Considering the need for the IFRS 9 accounting standard to estimate the loss of credit, for financial assets that presented a significant increase in risk, throughout the entire period until the maturity of a credit operation, the survival analysis models become techniques useful for modeling the Probability of Default. In this work, with the objective ofevaluating the performance of tree-based survival analysis models for this purpose, PD was examined from different methodological approaches, more particularly, exploring different machine learning algorithms for this type of approach. A credit card refinancing dataset was used, and results from twotree-based survival analysis tools, Survival Tree and Random Survival Forest, were compared against the usual algorithm based on Cox Proportional Hazards Regression and classification models. The results show that Survival Analysis techniques with tree-based models are good alternatives to traditional survival analysis methods used for PD modeling.
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基于生存树模型的生命周期违约概率
考虑到IFRS 9会计准则需要估计信贷损失,对于风险显著增加的金融资产,在整个期间直至信贷操作到期,生存分析模型成为对违约概率建模有用的技术。在这项工作中,为了评估基于树的生存分析模型的性能,PD从不同的方法方法进行了检查,更具体地说,探索了这种方法的不同机器学习算法。利用信用卡再融资数据集,将两种基于树的生存分析工具(生存树和随机生存森林)的结果与基于Cox比例风险回归和分类模型的常用算法进行比较。结果表明,基于树的生存分析技术是PD建模中传统生存分析方法的良好替代方案。
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