A FAVAR Modeling Approach to Credit Risk Stress Testing and Its Application to the Hong Kong Banking Industry

Zhifeng Wang, Fangying Wei
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Abstract

In October 2018, the Basel Committee on Banking Supervision (BCBS) published its stress-testing principles. One of these principles is about stress testing model validation, aided by business interpretation, benchmark comparison and backtesting. In this paper, a credit risk stress testing model based on the factor-augmented vector autoregressive (FAVAR) approach is proposed to project credit risk loss under stressed scenarios. Inherited from both factor analysis (FA) and the vector autoregressive (VAR) model, the FAVAR approach ensures that the proposed model has many appealing features. First, a large number of model input variables can be reduced to a handful of latent common factors to avoid the curse of dimensionality. Second, the dynamic interrelationship among macroeconomic variables and credit risk loss measures can be studied without exogeneity assumptions. Moreover, the application of the impulse response function facilitates the multiperiod projection of credit risk loss in response to macroeconomic shocks. All of these features make the proposed modeling framework a potentially handy solution to fulfilling the BCBS requirement of quantitative adequacy assessment of banks’ internal stress testing results with a benchmark model. The scope of its application can also extend to impairment modeling for International Financial Reporting Standard 9, which requires the projection of credit risk losses over consecutive periods under different macroeconomic scenarios.
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信用风险压力测试的FAVAR建模方法及其在香港银行业的应用
2018年10月,巴塞尔银行监管委员会(BCBS)发布了压力测试原则。其中一个原则是在业务解释、基准比较和回溯测试的辅助下,对压力测试模型进行验证。本文提出了一种基于因子增强向量自回归(FAVAR)方法的信用风险压力测试模型,用于预测压力情景下的信用风险损失。FAVAR方法继承了因子分析(FA)和向量自回归(VAR)模型,确保了所提出的模型具有许多吸引人的特征。首先,可以将大量的模型输入变量简化为少数几个潜在的共同因素,避免了维数的诅咒。其次,宏观经济变量与信用风险损失度量之间的动态相互关系可以在不考虑外生性假设的情况下进行研究。此外,脉冲响应函数的应用有助于对宏观经济冲击下信用风险损失的多周期预测。所有这些特征使得所提出的建模框架可能成为一个方便的解决方案,以满足BCBS对银行内部压力测试结果进行量化充分性评估的要求。其应用范围还可以扩展到国际财务报告准则第9号的减值建模,该准则要求在不同宏观经济情景下预测连续期间的信用风险损失。
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