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Impact of Banking Competition on Household Loan Rates in the Euro Area

Abstract

This paper investigates the impact of banking competition on interest rates for household consumption loans in the Euro Area from 2014 to 2020. Utilizing a panel data regression approach, we analyze how various factors, including local banking competition, influence the interest rates set by banks across 13 Euro-area countries. Our key independent variable, local banking competition, is measured by the number of commercial bank branches per 100,000 adults. Control variables include the ECB interest rate, euro exchange rate, real GDP growth rate, inflation rate, unemployment rate, bank business volumes, and country risk. We address potential endogeneity and heterogeneity biases and employ both Fixed Effects and Hausman–Taylor models to ensure robust results. Our findings indicate that higher local banking competition is associated with a slight increase in interest rates for household loans. Additionally, factors such as ECB interest rate, country risk, and euro appreciation significantly affect interest rates. The results offer insights into how competitive dynamics in the banking sector influence borrowing costs for households, providing valuable implications for policymakers and financial institutions in the Euro Area.

Data

  • Countries: 13 Euro-area countries (Austria, Belgium, Finland, France, Germany, Greece, Ireland, Italy, Lithuania, Luxembourg, Portugal, Slovenia, Spain)
  • Time Period: 2014–2020 (7 years)
  • Sample Size: N = 91 observations (balanced panel)
  • Outcome Variable: Bank interest rate for household consumption loans (%)
  • Key Variable: Banking competition measured as commercial bank branches per 100,000 adults
  • Control Variables: ECB interest rate, Euro exchange rate, Real GDP growth, Inflation (HICP), Unemployment rate, Bank business volumes, Country risk

Methods

  • Panel Data Regression: Balanced panel with country and time dimensions
  • Fixed Effects (FE): Controls for unobserved country-specific heterogeneity
  • Hausman Test: Determines appropriateness of FE vs Random Effects (RE)
  • Hausman–Taylor Model: Handles time-invariant variables and addresses endogeneity concerns
  • Robust Standard Errors: Accounts for heteroskedasticity and potential serial correlation
  • Specification Tests: Tests for non-linear relationships (squared inflation term), time trends, and structural breaks (COVID-19 dummy)

Key Results

  • Competition proxy is positively related to loan rates in the preferred panel specs. When controlling for country fixed effects, higher branch density (your competition proxy) is associated with a small increase in household loan rates. This result is confirmed in both Fixed Effects and Hausman–Taylor, with similar sign and significance (FE: +0.0548, p=0.048; HT: +0.0469, p=0.045).
  • Country risk shows a significant negative relationship with loan rates (robust in Hausman–Taylor). In the Hausman–Taylor model, higher country risk is associated with lower loan rates (the paper discusses this as counterintuitive and offers interpretation).
  • Lithuania's euro adoption is associated with a large upward level shift in rates. The euro adoption indicator for Lithuania is highly significant and large in magnitude in both FE/HT discussion (about +3.67 pp in HT), suggesting a meaningful regime shift around adoption.
  • Macro variables show expected directional effects, but with lower confidence in this writeup. The conclusion notes that ECB rate increases are associated with higher household loan rates, euro appreciation with slightly lower rates, and COVID-2020 with slightly lower rates, but explicitly flags these as low significance in the Hausman–Taylor discussion.
  • Interpretation caveat: branch density may not measure "true competition." The paper itself warns that branches per 100k could reflect banking access/footprint (and costs) rather than competitive structure, which is a plausible reason the sign doesn't match the textbook competition story.

Conclusion

Across 13 Euro-area countries, the preferred Fixed Effects model and a Hausman–Taylor robustness check both point to the same headline: higher branch density (used as the competition proxy) is associated with a small increase in household consumption loan rates. At the same time, the results highlight the importance of country-level risk and structural regime shifts (e.g., Lithuania's euro adoption) in explaining cross-country borrowing costs. A key takeaway is interpretability: branch density may proxy for banking footprint and operating costs rather than true competition, so improving the competition measure (e.g., number of licensed institutions or concentration metrics) is the most direct next step.

Key Model Outputs

Linear Regression (OLS) Results

Variable Coefficient Std. Error t-value p-value Sig
BComp (Banking Competition) -0.05 0.012 -4.16 0.000 ***
BComp_trend -0.138 0.202 -0.68 0.496
GDP (Real GDP Growth) 0.111 0.063 1.75 0.084 *
INFL (Inflation HICP) -0.558 0.495 -1.13 0.263
INFL_sq (Inflation Squared) 0.362 0.175 2.06 0.042 **
ALM (Bank Business Volumes) 0 0 -0.62 0.534
U (Unemployment Rate) 0.221 0.069 3.21 0.002 ***
EXCH_rate (Euro Exchange Rate) -0.064 0.142 -0.45 0.651
ECB_rate (ECB Interest Rate) 7.075 11.621 0.61 0.544
CR (Country Risk) -0.036 0.213 -0.17 0.866
LITH_2014 (Lithuania Euro Adoption) 8.191 1.98 4.14 0.000 ***
covid_2020 (COVID-19) 0.004 1.103 0.00 0.997
Constant 15.992 18.265 0.88 0.384

*** p<0.01, ** p<0.05, * p<0.1. Mean dependent var: 6.378, SD dependent var: 2.486, R-squared: 0.504, Number of obs: 91, F-test: 6.596, Prob > F: 0.000, AIC: 385.216, BIC: 417.857.

Fixed Effects (robust) Results

Variable Coefficient Std. Error t-value p-value Sig
BComp (Banking Competition) 0.055 0.025 2.20 0.048 **
BComp_trend -0.04 0.089 -0.45 0.66
GDP (Real GDP Growth) -0.011 0.026 -0.41 0.689
INFL (Inflation HICP) -0.008 0.332 -0.02 0.981
INFL_sq (Inflation Squared) -0.05 0.089 -0.56 0.589
ALM (Bank Business Volumes) 0 0 -0.44 0.67
U (Unemployment Rate) -0.033 0.087 -0.38 0.71
CR (Country Risk) -0.235 0.058 -4.05 0.002 ***
EXCH_rate (Euro Exchange Rate) -0.044 0.038 -1.16 0.268
ECB_rate (ECB Interest Rate) 4.743 2.878 1.65 0.125
LITH_2014 (Lithuania Euro Adoption) 3.635 0.265 13.73 0.000 ***
covid_2020 (COVID-19) -0.395 0.425 -0.93 0.371
Constant 10.676 4.066 2.63 0.022 **

*** p<0.01, ** p<0.05, * p<0.1. Robust standard errors. Mean dependent var: 6.378, SD dependent var: 2.486, R-squared: 0.591, Number of obs: 91, AIC: 139.052, BIC: 166.672.

Hausman–Taylor Model Results

For our Hausman–Taylor model, we get a highly significant Wald chi-squared statistic (equaling 96.14) and p-value = 0.000 which indicates that the model as a whole is statistically significant.

Variable Coefficient Std. Error z P>|z|
Time-Varying Exogenous (TVexogenous)
BComp_trend -0.0327 0.0674 -0.49 0.627
ALM (Bank Business Volumes) -9.77e-06 0.0000135 -0.72 0.469
ECB_rate (ECB Interest Rate) 4.719 3.416 1.38 0.167
LITH_2014 (Lithuania Euro Adoption) 3.667 0.631 5.81 0.000
covid_2020 (COVID-19) -0.391 0.359 -1.09 0.276
Time-Varying Endogenous (TVendogenous)
GDP (Real GDP Growth) -0.0095 0.0265 -0.36 0.721
CR (Country Risk) -0.236 0.097 -2.44 0.015
INFL (Inflation HICP) -0.0145 0.164 -0.09 0.930
INFL_sq (Inflation Squared) -0.0444 0.0567 -0.78 0.433
EXCH_rate (Euro Exchange Rate) -0.0433 0.0435 -1.00 0.320
U (Unemployment Rate) -0.0319 0.0623 -0.51 0.609
BComp (Banking Competition) 0.0469 0.0234 2.00 0.045
Time-Invariant Exogenous (TIexogenous)
country_id 0.114 0.212 0.54 0.589
Constant 9.680 5.844 1.66 0.098

Wald chi² = 96.14, Prob > chi² = 0.000. sigma_u = 2.920, sigma_e = 0.497, rho = 0.972 (fraction of variance due to u_i).