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

Listed author(s):
  • Jalal Akhavein

    ()

  • P. Swamy

    ()

  • Stephen Taubman

    ()

  • Rao Singamsetti

    ()

Registered author(s):

    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

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    File URL: http://hdl.handle.net/10.1023/A:1007776431663
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    Article provided by Springer in its journal Journal of Productivity Analysis.

    Volume (Year): 8 (1997)
    Issue (Month): 1 (March)
    Pages: 71-93

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    Handle: RePEc:kap:jproda:v:8:y:1997:i:1:p:71-93
    DOI: 10.1023/A:1007776431663
    Contact details of provider: Web page: http://www.springer.com

    Order Information: Web: http://www.springer.com/economics/microeconomics/journal/11123/PS2

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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. 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.
    4. Pratt, John W. & Schlaifer, Robert, 1988. "On the interpretation and observation of laws," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 23-52.
    5. 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.
    6. 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.
    7. 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.
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