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

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  • Jalal Akhavein

    ()

  • P. Swamy

    ()

  • Stephen Taubman

    ()

  • Rao Singamsetti

    ()

Abstract

This article develops a new method of estimating inefficiencies in joint production and shows that unlike the approaches utilized in the previous studies of inefficiency, this method maintains a consistent relationship between the error term of a profit function and the error terms of its price derivatives. A useful by-product of the method is a proof of a Hotelling-like lemma that relates stochastic input demand and output supply functions to stochastic profit functions. While the previous studies fit a single frontier to data on all firms, this paper estimates a frontier unique to every observed firm to allow each one to have a different potential of achieving maximal levels of profit. The new method is applied in the analysis of annual data, 1984–1989, for U.S. commercial banks. Both the analytical and numerical results of the paper show that the residual that the previous studies attribute to inefficiency includes the effects of excluded variables and of inaccuracies in the specified functional forms. Once accurate estimates of these effects are subtracted from the residual, the distortions in the measured inefficiencies should be considerably reduced. Consequently, this article considers how such estimates might be obtained. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Jalal Akhavein & P. Swamy & Stephen Taubman & Rao Singamsetti, 1997. "A General Method of Deriving the Inefficiencies of Banks from a Profit Function," Journal of Productivity Analysis, Springer, vol. 8(1), pages 71-93, March.
  • Handle: RePEc:kap:jproda:v:8:y:1997:i:1:p:71-93
    DOI: 10.1023/A:1007776431663
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    References listed on IDEAS

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    1. Basmann, R. L., 1988. "Causality tests and observationally equivalent representations of econometric models," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 69-104.
    2. Jalal D. Akhavein & Allen N. Berger & David B. Humphrey, 1996. "The Effects of Megamergers on Efficiency and Prices: Evidence from a Bank Profit Function," Center for Financial Institutions Working Papers 96-03, Wharton School Center for Financial Institutions, University of Pennsylvania.
    3. Swamy, P A V B & Tavlas, George S, 1995. " Random Coefficient Models: Theory and Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 9(2), pages 165-196, June.
    4. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    5. Swamy, P. A. V. B. & Von Zur Muehlen, Peter, 1988. "Further thoughts on testing for causality with econometric models," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 105-147.
    6. Berger, Allen N. & Hancock, Diana & Humphrey, David B., 1993. "Bank efficiency derived from the profit function," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 317-347, April.
    7. Pratt, John W. & Schlaifer, Robert, 1988. "On the interpretation and observation of laws," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 23-52.
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    Cited by:

    1. 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 & Francis Journals, vol. 37(9), pages 993-1009.
    2. 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).
    3. Lee, Chien-Chiang & Hsieh, Meng-Fen, 2013. "The impact of bank capital on profitability and risk in Asian banking," Journal of International Money and Finance, Elsevier, vol. 32(C), pages 251-281.
    4. Margono, Heru & Sharma, Subhash C. & Melvin II, Paul D., 2010. "Cost efficiency, economies of scale, technological progress and productivity in Indonesian banks," Journal of Asian Economics, Elsevier, vol. 21(1), pages 53-65, February.
    5. DeYoung, Robert & Spong, Kenneth & Sullivan, Richard J., 2001. "Who's minding the store? Motivating and monitoring hired managers at small, closely held commercial banks," Journal of Banking & Finance, Elsevier, vol. 25(7), pages 1209-1243, July.

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