One-Factor Model for Default Rates by Loan Type

Original scientific paper
Author: Prof. Miloš Božović, PhD
doi: 10.5937/bankarstvo2102088B
Keywords: credit risk; default rate; systemic factors; mixed-effects model
JEL: G21, C23

Summary: This paper investigates the link between default rates by loan types and the systemic credit risk component.
This link is described by a linear model that combines systemic and idiosyncratic contributions. The systemic
component is a latent factor that depends directly on the aggregate loan default rate, while the idiosyncratic component drives specific variations of default rates across loan types. By transforming observable risk
measures, the model can be econometrically represented as a mixed-effects model, where the systemic and
idiosyncratic components represent, respectively, the slope and the intercept that are specific for each loan
type individually. The proposed model is illustrated on a panel of defaulted loans of the Association of Serbian Banks. The obtained results show the model’s very high power in explaining average default rates for all
loan types. Thus, the aggregate default rate plays the role of a unique systemic component that mimics the
influence of fundamental macroeconomic risk factors easily, without the necessity to model this relationship

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