Abstract
The paper analyzes performance, incentives, and the inefficiencies that may arise due to agency problems and market power using a newly developed panel of large US commercial banks that have too-big-to-fail nature. We use a structural model to characterize managerial efficiency, which complements technical efficiency in standard stochastic frontier models. We incorporate managerial decisions, bank-specific characteristics, and market competition in deriving managerial efficiency. Data on the 50 largest commercial banks in the USA during 2000 and 2017 are collected from the Call Reports and are matched with CEO compensation from S&P’s ExecuComp database. The paper connects empirical evidence with economic theory and contributes to the literature on efficiency and management. The ultimate goal is to better understand the linkages among managerial performance, CEO compensation, and the size and scope of bank operations. Current results point to robust empirical findings. Economies of scale have steadily declined throughout the period and are not positively related to managerial performance and CEO compensation. The size of a bank does not seem to be justified by the evidence in that larger banks offer larger bonuses and tend to have lower managerial efficiency and diminishing scale economies.
Similar content being viewed by others
Notes
The asset share is defined as the share in the consolidated assets, meaning all assets owned directly or indirectly by the company through any subsidiary and reflected on the company’s consolidated balance sheet.
For details, see Inanoglu and Jacobs (2009).
The asset approach assumes that banks are intermediaries whose main function is to collect deposits from savers and transform them into loans and financial investments. The user cost approach considers a financial instrument as an output only when the net revenue exceeds the opportunity cost of funds or the costs of liability are smaller than the opportunity cost. Otherwise, it is an input. The value-added approach, however, does not exclusively differentiate inputs from outputs. It determines whether financial products are outputs, inputs, or intermediates depending on how much value the categories of the products generate. For a more detailed discussion of the approaches, see Berger Allen and Humphrey David (1992).
The form of inverse demand functions is chosen in order to facilitate estimation and interpretation. We have examined other functional representations of the inverse demand equations, and our results are not qualitatively different from using semi-log specifications as well as models with second-order interactions.
We test the validity of these instruments using Hansen’s J-test of overidentifying restrictions. We fail to reject J-test’s null hypothesis that instruments are uncorrelated with the error term, and the excluded instruments are correctly excluded from the equation.
Baumol et al. (1982) use zero value for \(q_m^s\), but in the use of translog function \(\ln q_m^s\) is undefined. Thus, we choose an arbitrarily small number.
All the inputs, i.e., labor, fixed capital, and deposits, are considered as normal goods.
For details on the implementation, please refer to a paper on SFA using Stata by Belotti et al. (2013).
Please refer to the Stata documentation on GMM for detailed derivation and implementation that uses consistent point estimates to obtain correct standard errors for the two-step or iterative GMM estimation.
References
Adams RM, Berger AN, Sickles RC (1999) Semiparametric approaches to stochastic panel frontier with applications in the banking industry. J Bus Econ Stat 17(3):349–358
Aguirregabiria V, Clark R, Wang H (2017) The geographic flow of bank funding and access to credit: branch networks and local-market competition. Queen’s Economics Department Working Paper No. 1402
Ahn S, Lee YH, Schmidt P (2013) Panel data models with multiple time-varying individual effects. J Econom 174(1):1–14
Aigner D, Knox Lovell CA, Schmidt P (1977) Formulation and estimation of stochastic frontier production function models. J Econom 6(1):21–37
Al-Sharkas AA, Kabir Hassan M, Lawrence S (2008) The impact of mergers and acquisitions on the efficiency of the U.S. banking industry: further evidence. J Bus Finance Account 35(1–2):50–70
Alexander T (2011) Banks, oligopolistic competition, and the business cycle: a new financial accelerator approach. Economics Working Paper, No. 2011-02. Department of Economics, Kiel University
Bai J (2013) Fixed-effects dynamic panel models, a factor analytical method. Econometrica 81:285–314
Bai J, Carrion-i-Silverstre JL (2013) Testing panel cointegration with dynamic common factors that are correlated with the regressors. Econom J 16:222–249
Battese GE, Coelli TJ (1992) Frontier production functions, technical efficiency and panel data: with application to paddy farmers in India. J Prod Anal 3(1–2):153–169
Bauer PW, Berger AN, Ferrier GD, Humphrey DB (1998) Consistency conditions for regulatory analysis of financial institutions: a comparison of frontier efficiency methods. J Econ Bus 50(2):85–114
Baumol WJ, Panzar JC, Willig RD (1982) Contestable markets and the theory of industry structure. Harcourt Brace Jovanovich, New York
Belotti F, Daidone S, Ilardi G, Atella V (2013) Stochastic frontier analysis using Stata. Stata J 13(4):719–758
Berger Allen N, Humphrey David B (1992) Measurement and efficiency issues in commercial banking. NBER Chapters: output measurement in the service sectors 245–300
Blackorby C, Robert Russell R (1989) Will the real elasticity of substitution please stand up? (a comparison of the Allen/Uzawa and Morishima elasticities.). Am Econ Rev 79(4):882–88
Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2(6):429–444
Christensen LR, Jorgensen DW, Lau LJ (1973) Transcendental logarithmic production frontiers. Rev Econ Stat 55(1):28–45
Corbae D, D’Erasmo P (2013) A quantitative model of banking industry dynamics. Manuscript. University of Wisconsin, Madison
Cornwell C, Schmidt P, Sickles R (1990) Production frontiers with cross-sectional and time-series variation in efficiency levels. J Econom 46(1–2):185–200
Cunat V, Guadalupe M (2009) Executive compensation and competition in the banking and financial sectors. J Bank Finance 33(3):495–504
Davies R, Tracey B (2014) Too big to be efficient? The impact of implicit subsidies on estimates of scale economies for banks. J Money Credit Bank 46(1):219–253
Debreu G (1951) The coefficient of resource utilization. Econometrica 19(3):273–292
Diewert WE (1974) Applications of duality theory. In: Intrilligator MD, Kendrick D (eds) Frontiers of quantitive economics, 2nd edn. North-Holland Publishing Co, Amsterdam
Distinguin I, Roulet C, Tarazi A (2013) Bank regulatory capital and liquidity: evidence from US and European publicly traded banks. J Bank Finance 37(9):3295–3317
Drake L, Hall MJB (2003) Efficiency in Japanese banking: an empirical analysis. J Bank Finance 27:891–917
Farrell MJ (1957) The measurement of productive efficiency. J R Stat Soc 120(3):253–290
Federal Reserve Statistics (2017) Large commercial banks. Federal Reserve Statistical Release. https://www.federalreserve.gov/releases/LBR/20171231/default.htm
Feng G, Serletis A (2010) Efficiency, technical change, and returns to scale in large US banks: panel data evidence from an output distance function satisfying theoretical regularity. J Bank Finance 34(1):127–138
Ferrier GD, Knox Lovell CA (1990) Measuring cost efficiency in banking: econometric and linear programming evidence. J Econom 46(1–2):229–245
Gagnepain P, Ivaldi M (2002) Stochastic frontiers and asymmetric information models. J Prod Anal 18(2):145–159
Greene W (2005) Reconsidering heterogeneity in panel data estimators of the stochastic frontier model. J Econom 126:269–303
Hall AR (2005) Generalized method of moments. Oxford University Press, Oxford
Hughes JP, Mester LJ, Moon C-G (2001) Are scale economies in banking elusive or illusive? Evidence obtained by incorporating capital structure and risk-taking into models of bank production. J Bank Finance 25(12):2169–2208
Inanoglu H, Jacobs M Jr (2009) Models for risk aggregation and sensitivity analysis: an application to bank economic capital. J Risk Financ Manag 2(1):118–189
Inanoglu H, Jacobs Jr M, Liu J, Sickles R (2016) Analyzing bank efficiency: Are too-big-to-fail banks efficient? The handbook of post crisis financial modeling 110–146
Kneip A, Sickles RC, Song W (2012) A new panel data treatment for heterogeneity in time trends. Econom Theory 28(3):590–628
Kutlu L (2018) Efficiency estimation in a spatial autoregressive stochastic frontier model. Econ Lett 163:155–157
Kutlu L, Wang R (2018) Estimation of cost efficiency without cost data. J Prod Anal 49(2–3):137–151
Kutlu L, Mamatzakis E, Tsionas Efthymios G (2018) Microfoundations for performance, competition and econometric implications. https://ssrn.com/abstract=3073430
Leibenstein H (1966) Allocative efficiency versus X-efficiency. Am Econ Rev 56:392–415
Liu J, Sickles RC, Tsionas EG (2017) Bayesian treatments to panel data models with time-varying heterogeneity. Econometrics 5(33):1–21
Livne G, Markarian G, Mironov M (2013) Investment horizon, risk, and compensation in the banking industry. J Bank Finance 37(9):3669–3680
Meeusen W, van Den Broeck J (1977) Efficiency estimation from Cobb–Douglas production functions with composed error. Int Econ Rev 18(2):435–444
Olley GS, Pakes A (1996) The dynamic of productivity in the telecommunications equipment industry. Econometrica 64(6):1263–1297
Pitt M, Lee L-F (1981) The measurement and sources of technical inefficiency in the Indonesian weaving industry. J Dev Econ 9(1):43–64
Schmidt P, Sickles R (1984) Production frontiers and panel data. J Bus Econ Stat 2(4):367–374
Shephard WR (1953) Cost and production functions. Princeton University Press, Princeton
Simar L, Wilson PW (2013) Estimation and inference in nonparametric frontier models: recent developments and perspectives. Found Trends in Econom 5(3–4):183–337
Trieb TP, Kumbhakar SC (2018) Management in production: from unobserved to observed. J Prod Anal 49(2–3):111–121
Vazquez F, Federico P (2015) Bank funding structures and risk: evidence from the global financial crisis. J Bank Finance 61:1–14
Weill L (2004) Measuring cost efficiency in European banking: a comparison of frontier techniques. J Prod Anal 21:133–152
Williamson O (1963) Managerial discretion and business behavior. Am Econ Rev 53(5):1032–1057
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
Shasha Liu declares that she has no conflict of interest. Robin Sickles declares that he has no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liu, S., Sickles, R. The agency problem revisited: a structural analysis of managerial productivity and CEO compensation in large US commercial banks. Empir Econ 60, 391–418 (2021). https://doi.org/10.1007/s00181-020-01982-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00181-020-01982-5