提出半结构化多状态模型,精准预测房贷违约转移路径。
Semi-structured multi-state delinquency model for mortgage default
- 结合线性项与神经网络,兼顾可解释性与复杂模式捕捉
- 在早期预测阶段表现优于传统模型,且保持稳定评分
- 适合需兼顾透明性与灵活性的金融风险建模场景
我们提出一种半结构化的离散时间多状态模型,用于分析房贷违约转移。该模型融合易理解的结构化加性预测器(包含线性效应和时间、协变量的平滑函数)与灵活的神经网络组件,以捕捉复杂非线性和高阶交互。为确保协变量同时存在于两部分时的可识别性,将非结构部分相对于结构设计正交化。针对离散时间竞争性转移,推导出将二元逻辑回归映射为有效竞争转移概率的精确变换,避免连续时间近似。模拟表明,该框架能有效恢复结构化基线与协变量效应,并利用神经组件检测交互模式。基于房利美单家庭贷款级数据集,采用跨时测试设计验证方法。相较于结构化广义加性基准模型,半结构化模型在最早预测时段表现出微弱但一致的判别提升,且维持相似的Brier得分。加入宏观经济指标在跨时评估中仅带来有限增量收益,未显著改变借款人、贷款或持续时间驱动效应的估计。总体而言,半结构化多状态建模在可解释性与灵活模式学习间提供实用折衷,具有超越信用转移预测的应用潜力。
原文摘要 · Abstract (English)
We propose a semi-structured discrete-time multi-state model to analyse mortgage delinquency transitions. This model combines an easy-to-understand structured additive predictor, which includes linear effects and smooth functions of time and covariates, with a flexible neural network component that captures complex nonlinearities and higher-order interactions. To ensure identifiability when covariates are present in both components, we orthogonalise the unstructured part relative to the structured design. For discrete-time competing transitions, we derive exact transformations that map binary logistic models to valid competing transition probabilities, avoiding the need for continuous-time approximations. In simulations, our framework effectively recovers structured baseline and covariate effects while using the neural component to detect interaction patterns. We demonstrate the method using the Freddie Mac Single-Family Loan-Level Dataset, employing an out-of-time test design. Compared with a structured generalised additive benchmark, the semi-structured model provides modest but consistent gains in discrimination across the earliest prediction spans, while maintaining similar Brier scores. Adding macroeconomic indicators provides limited incremental benefit in this out-of-time evaluation and does not materially change the estimated borrower-, loan-, or duration-driven effects. Overall, semi-structured multi-state modelling offers a practical compromise between transparent effect estimates and flexible pattern learning, with potential applications beyond credit-transition forecasting.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。