Abstract

We propose a novel observation-driven dynamic finite mixture model for the study of banking data. The model accommodates time-varying component means and covariance matrices, normal and Student's $t$ distributed mixtures, and economic determinants of time-varying parameters. Monte Carlo experiments suggest that units of interest can be classified reliably into distinct components in a variety of settings. In an empirical study of 208 European banks between 2008Q1--2015Q4, we identify six business model components and discuss how these adjust to post-crisis financial developments. Specifically, bank business models adapt to changes in the yield curve.

Highlights

  • Banks are highly heterogenous, differing widely in terms of size, complexity, organization, activities, funding choices, and geographical reach

  • We identify six business model components and discuss how they adjust to post-crisis regulatory and financial developments, including changes in the yield curve

  • This section investigates the ability of our score-driven dynamic mixture model to simultaneously i) correctly classify a data set into distinct components, and ii) recover the dynamic cluster means over time

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Summary

Introduction

Banks are highly heterogenous, differing widely in terms of size, complexity, organization, activities, funding choices, and geographical reach. As long-term interest rates decrease, banks on average (across all business models) grow larger, hold more assets in trading portfolios to offset declines in loan demand, hold more sizeable derivative books, and, in some cases, increase leverage and decrease funding through customer deposits Each of these effects – increased size, leverage, complexity, and a less stable funding base – are intuitive, and potentially problematic from a financial stability perspective. Catania (2016) proposes a score-driven dynamic mixture model which is related to ours His modeling framework is different in that the main focus is on the modeling of conditional asset return distributions over time, rather than on classifying a large cross-section.

Static finite mixture model and EM estimation
Dynamic normal mixture model with time-varying means
Time-varying component covariance matrices
Student’s t distributed mixture
Explanatory covariates
Simulation design
Simulation results regarding classification and tracking
Simulation results when the number of components is unknown
Bank business models
Model selection
Business model analysis
Heterogeneity during crises
Post-crisis banking sector trends
Low interest rates
Fixed effects panel regression results
Extended score-driven model
Conclusion
Formulas
Simulation tables: unknown number of clusters
Findings
D: Small diversified lender
Full Text
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