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Working Paper
Are credit unions too small?
Since 1985, the share of U.S. depository institution assets held by credit unions has nearly doubled, and the average (inflation-adjusted) size of credit unions has increased over 600 percent. We use a non-parametric local-linear estimator to estimate a cost relationship for credit unions and derive estimates of ray-scale and expansion-path scale economies. We employ a dimension-reduction technique to reduce estimation error, and bootstrap methods for inference. We find substantial evidence of increasing returns to scale across the range of sizes observed among credit unions, suggesting that ...
Working Paper
The Evolution of Scale Economies in U.S. Banking
Continued consolidation of the U.S. banking industry and a general increase in the size of banks has prompted some policymakers to consider policies that discourage banks from getting larger, including explicit caps on bank size. However, limits on the size of banks could entail economic costs if they prevent banks from achieving economies of scale. This paper presents new estimates of returns to scale for U.S. banks based on nonparametric, local-linear estimation of bank cost, revenue and profit functions. We report estimates for both 2006 and 2015 to compare returns to scale some seven ...
Working Paper
Robust non-parametric quantile estimation of efficiency and productivity change in U.S. commercial banking, 1985-2004
This paper describes a non-parametric, unconditional, hyperbolic quantile estimator that unlike traditional non-parametric frontier estimators is both robust to data outliers and has a root-n convergence rate. We use this estimator to examine changes in the efficiency and productivity of U.S. banks between 1985 and 2004. We find that larger banks experienced larger efficiency and productivity gains than small banks, consistent with the presumption that recent changes in regulation and information technology have favored larger banks.
Working Paper
Why do banks disappear? The determinants of U.S. bank failures and acquisitions
This paper examines the determinants of individual bank failures and acquisitions in the United States during 1984-1993. We use bank-specific information suggested by examiner CAMEL-rating categories to estimate competing-risks hazard models with time-varying covariates. We focus especially on the role of management quality, as reflected in alternative measures of x-efficiency and find the inefficiency increases the risk of failure, while reducing the probability of a bank's being acquired. Finally, we show that the closer to insolvency a bank is, as reflected by a low equity-to-assets ratio, ...
Working Paper
New evidence on returns to scale and product mix among U.S. commercial banks
Numerous studies have found that banks exhaust scale economies at low levels of output, but most are based on the estimation of parametric cost functions which misrepresent bank cost. Here we avoid specification error by using nonparametric kernal regression techniques. We modify measures of scale and product mix economies introduced by Berger et al. (1987) to accommodate the nonparametric estimation approach, and estimate robust confidence intervals to assess the statistical significance of returns to scale. We find that banks experience increasing returns to scale up to approximately $500 ...
Working Paper
Explaining bank failures: deposit insurance, regulation, and efficiency
This paper uses micro-level historical data to examine the causes of bank failure. For state charactered Kansas banks during 19 10-28, time-to-failure is explicitly modeled using a proportional hazards framework. In addition to standard financial ratios, this study includes membership in the voluntary state deposit insurance system and measures of technical efficiency to explain bank failure. The results indicate that deposit insurance system membership increased theprobability of failure and banks which were technically inefficient were more likely to fail than technically efficient banks.
Working Paper
New Estimates of the Lerner Index of Market Power for U.S. Banks
The Lerner index is widely used to assess firms' market power. However, estimation and interpretation present several challenges, especially for banks, which tend to produce multiple outputs and operate with considerable inefficiency. We estimate Lerner indices for U.S. banks for 2001-18 using nonparametric estimators of the underlying cost and profit functions, controlling for inefficiency, and incorporating banks' off-balance-sheet activities. We find that mis-specification of cost or profit functional forms can seriously bias Lerner index estimates, as can failure to account for ...
Working Paper
The contribution of on-site examination ratings to an emprircal model of bank failures
This paper investigates how well regulator examinations predict bank failures, and how best to incorporate examination information into an econometric model of time-to-failure. We estimate proportional hazard models with time-varying covariates and find that examiner ratings help explain the failure hazard. Both the overall rating of a bank's condition and management, i.e., the composite CAMELS rating, and ratings of specific components contain information. In addition, we find that the marginal "effect" of ratings is non-linear, in that the impact of a rating downgrade on the probability ...