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A General Method of Deriving the Efficiencies of Banks from a Profit Function

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Author Info
Jalal Akhavein
PVBA Swamy
Stephen Taubman

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Abstract

Questions of whether the evolution of the financial services industry results in more efficient intermediaries, better prices and service quality for consumers, and greater bank safety and soundness cannot be answered without addressing the cost and revenue efficiencies of the industry. Most studies of the efficiency of financial institutions have used an econometric approach to measure efficiency. This paper tries to address potential econometric problems of previous efficiency studies and suggests a new technique for measuring efficiency. This method is applied to data on U.S. commercial banks from 1984 through 1989.

Previous studies used one of four different approaches for estimating X-efficiencies - the econometric frontier approach, the thick frontier approach, data envelopment analysis, and the distribution free approaches. In all four cases, the econometric problem of estimating X-efficiencies is defined simply as one of distinguishing between two components of a random error term added to a cost or profit function. The authors suggest that it is possible that the actual econometric problem of estimating X-inefficiencies is not as simple as the problem of distinguishing between two random components because of the following three reasons: ( i ) the true functional forms of the cost or profit functions of the firms are usually unknown; ( ii ) explanatory variables excluded from the cost or profit function are likely to be correlated with the explanatory variables included in the function; and (iii) inconsistencies may arise if arbitrary error terms are added to a cost or profit function and their corresponding share equations.

The authors use a fixed-coefficients model that allows them to address the econometric problems mentioned above. This methodology also allows for the estimation of a separate frontier for each firm as opposed to previous studies that estimate one frontier which is common to all firms. The results of the paper show that the residual which the previous studies attributed to technical inefficiency potentially included the effects of excluded variables, of inaccuracies in the specified functional forms, and of inconsistent parameter estimates. They further show that once these effects are subtracted from the residual, the measured inefficiencies are substantially reduced. The results do support some of the previous studies' conclusions - in general measured technical inefficiencies dominate allocative inefficiencies and that on average large banks are more efficient from both the technical and allocative perspectives than small and medium sized banks.

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Publisher Info
Paper provided by Wharton School Center for Financial Institutions, University of Pennsylvania in its series Center for Financial Institutions Working Papers with number 94-26.

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Date of creation: Sep 1994
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Handle: RePEc:wop:pennin:94-26

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  1. Dias, Weeratilake, 1998. "Productivity And Efficiency Of Agricultural And Non Agricultural Banks In The United States: Dea Approach," 1998 Annual meeting, August 2-5, Salt Lake City, UT 20845, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  2. Allen N. Berger & Loretta J. Mester, 1997. "Inside the black box: what explains differences in the efficiencies of financial institutions?," Working Papers 97-1, Federal Reserve Bank of Philadelphia. [Downloadable!]
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  3. Jalal D. Akhavein & Allen N. Berger & David B. Humphrey, 1997. "The effects of megamergers on efficiency and prices: evidence from a bank profit function," Finance and Economics Discussion Series 1997-9, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  4. Robert DeYoung & Kenneth Spong & Richard J. Sullivan, 1999. "Who's minding the store? motivating and monitoring hired managers at small, closely held firms: the case of commercial banks," Working Paper Series WP-99-17, Federal Reserve Bank of Chicago. [Downloadable!]
  5. Chung-Hua Shen, 2005. "Cost efficiency and banking performances in a partial universal banking system: application of the panel smooth threshold model," Applied Economics, Taylor and Francis Journals, vol. 37(9), pages 993-1009, May. [Downloadable!] (restricted)
  6. Loretta J. Mester, 1996. "Measuring efficiency at U.S. banks: accounting for heterogeneity is important," Working Papers 96-11/R, Federal Reserve Bank of Philadelphia. [Downloadable!]
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