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The B.E. Journal of Economic Analysis & Policy

Editor-in-Chief: Jürges, Hendrik / Ludwig, Sandra

Ed. by Auriol , Emmanuelle / Brunner, Johann / Fleck, Robert / Mendola, Mariapia / Requate, Till / Schirle, Tammy / de Vries, Frans / Zulehner, Christine

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Volume 13, Issue 2


Volume 6 (2006)

Volume 4 (2004)

Volume 2 (2002)

Volume 1 (2001)

Solving the Endogeneity Problem in Empirical Cost Functions: An Application to US Banks

Mark G. Lijesen
Published Online: 2013-09-07 | DOI: https://doi.org/10.1515/bejeap-2012-0070


Empirical cost functions tend to ignore that firm differences in output levels depend on differences in cost levels and hence suffer from an endogeneity problem. We argue that traditional solutions for the endogeneity problem are insufficient for solving the problem and propose a structural approach to solve the problem. We apply both the traditional and the alternative models to panel data on large banks and found that a hybrid version yields results that are fully compatible with economic theory, whereas the traditional model provides theoretically incorrect in-sample predictions of scale elasticities.

Keywords: costs; firm size; translog; economies of scale; endogeneity


  • Altunbaș, Y., E. P. M. Gardener, P. Molyneux, and B. Moore. 2001. “Efficiency in European Banking.” European Economic Review 45:1931–55.CrossrefGoogle Scholar

  • Altunbaș, Y., P. Molyneux, and J. Thornton. 1997. “Big-Bank Mergers in Europe: An Analysis of the Cost Implications.” Economica 64:317–29.CrossrefGoogle Scholar

  • Berger, A. N., J. H. Leusner, and J. J. Mingo. 1997. “The Efficiency of Bank Branches.” Journal of Monetary Economics 40:141–62.Web of ScienceCrossrefGoogle Scholar

  • Brander, J. A., and A. Zhang. 1990. “Market Conduct in the Airline Industry: An Empirical Investigation.” RAND Journal of Economics 21(4):567–83.CrossrefGoogle Scholar

  • Bresnahan, T. F. 1981. “Duopoly Models with Consistent Conjectures.” American Economic Review 71:934–45.Google Scholar

  • Chua, C. L., H. Kew, and J. Yong. 2005. “Airline Code-Share Alliances and Costs: Imposing Concavity on Translog Cost Function Estimation.” Review of Industrial Organization 26:461–87.CrossrefGoogle Scholar

  • Diewert, W. E., and T. J. Wales. 1987. “Flexible Functional Forms and Global Curvature Conditions.” Econometrica 55(1):43–68.CrossrefGoogle Scholar

  • Farrell, J., and C. Shapiro. 2000. “Scale Economies and Synergies in Horizontal Merger Analysis.” Antitrust Law Journal 68:685–710.Google Scholar

  • Feng, G., and A. Serletis. 2010. “Efficiency, Technical Change, and Returns to Scale in Large US Banks: Panel Data Evidence from an Output Distance Function Satisfying Theoretical Regularity.” Journal of Banking and Finance 34(1):127–38.CrossrefWeb of ScienceGoogle Scholar

  • Fries, S., and A. Taci. 2005. “Cost Efficiency of Banks in Transition: Evidence from 289 Banks in 15 Post-Communist Countries.” Journal of Banking and Finance 29:55–81.CrossrefGoogle Scholar

  • Goh, M., and J. Yong. 2006. “Impacts of Code-Share Alliances on Airline Cost Structure: A Truncated Third-Order Translog Estimation.” International Journal of Industrial Organization 24:835–66.CrossrefGoogle Scholar

  • Hughes, J. P., and L. J. Mester. 1998. “Bank Capitalization and Cost: Evidence of Scale Economies in Risk Management and Signalling.” The Review of Economics and Statistics 80(2):314–25.CrossrefGoogle Scholar

  • Humphrey, D. B. 1993. “Costs and Technical Change: Effects from Bank Deregulation.” The Journal of Productivity Analysis 4:9–34.CrossrefGoogle Scholar

  • Levinsohn, J., and A. Petrin. 2003. “Estimating Production Functions Using Inputs to Control for Unobservables.” Review of Economic Studies 70(2):317–42.CrossrefGoogle Scholar

  • Mountain, D. C., and H. Thomas. 1999. “Factor Price Misspecification in Bank Cost Function Estimation.” Journal of International Financial Markets, Institutions & Money 9:163–82.CrossrefGoogle Scholar

  • Olley, G. S., and A. Pakes. 1996. “The Dynamics of Productivity in the Telecommunications Equipment Industry.” Econometrica 64(6):1263–97.CrossrefGoogle Scholar

  • Perry, M. K. 1982. “Oligopoly and Consistent Conjectural Variations.” Bell Journal of Economics 14:301–14.Google Scholar

  • Ryan, D. L., and T. J. Wales. 2000. “Imposing Local Concavity in the Translog and Generalized Leontief Cost Functions.” Economics Letters 67:253–60.CrossrefGoogle Scholar

  • Torres, M., and C. J. Morrison Paul. 2006. “Driving Forces for Consolidation or Fragmentation of the US Water Utility Industry: A Cost Function Approach with Endogenous Output.” Journal of Urban Economics 59:104–20.CrossrefGoogle Scholar

About the article

Received: 2012-12-10

Accepted: 2013-08-19

Published Online: 2013-09-07

Citation Information: The B.E. Journal of Economic Analysis & Policy, Volume 13, Issue 2, Pages 1051–1070, ISSN (Online) 1935-1682, ISSN (Print) 2194-6108, DOI: https://doi.org/10.1515/bejeap-2012-0070.

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©2013 by Walter de Gruyter Berlin / Boston. Copyright Clearance Center

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