Malmquist-type indices in the presence of negative data: An application to bank branches
In this paper we develop an index and an indicator of productivity change that can be used with negative data. For that purpose the range directional model (RDM), a particular case of the directional distance function, is used for computing efficiency in the presence of negative data. We use RDM efficiency measures to arrive at a Malmquist-type index, which can reflect productivity change, and we use RDM inefficiency measures to arrive at a Luenberger productivity indicator, and relate the two. The productivity index and indicator are developed relative to a fixed meta-technology and so they are referred to as a meta-Malmquist index and meta-Luenberger indicator. We also address the fact that VRS technologies are used for computing the productivity index and indicator (a requirement under negative data), which raises issues relating to the interpretability of the index. We illustrate how the meta-Malmquist index can be used, not only for comparing the performance of a unit in two time periods, but also for comparing the performance of two different units at the same or different time periods. The proposed approach is then applied to a sample of bank branches where negative data were involved. The paper shows how the approach yields information from a variety of perspectives on performance which management can use.
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- Hirtle, Beverly, 2007.
"The impact of network size on bank branch performance,"
Journal of Banking & Finance,
Elsevier, vol. 31(12), pages 3782-3805, December.
- Beverly Hirtle, 2005. "The impact of network size on bank branch performance," Staff Reports 211, Federal Reserve Bank of New York.
- J. Peter Neary, 2004.
"Rationalising the Penn World Table: True Multilateral Indices for International Comparisons of Real Income,"
199622, School of Economics, University College Dublin.
- J. Peter Neary, 2004. "Rationalizing the Penn World Table: True Multilateral Indices for International Comparisons of Real Income," American Economic Review, American Economic Association, vol. 94(5), pages 1411-1428, December.
- Asaftei, Gabriel, 2008. "The contribution of product mix versus efficiency and technical change in US banking," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2336-2345, November.
- Zelenyuk, Valentin, 2005.
"Aggregation of Malmquist Productivity Indexes,"
34689, University Library of Munich, Germany.
- TULKENS, Henry & VANDENÂ EECKAUT, Philippe, 1993.
"Non-Parametric Efficiency, Progress and Regress Measures for Panel Data : Methodological Aspects,"
CORE Discussion Papers
1993016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Tulkens, Henry & Vanden Eeckaut, Philippe, 1995. "Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects," European Journal of Operational Research, Elsevier, vol. 80(3), pages 474-499, February.
- Tulkens, H. & Vanden Eeckaut, P., . "Non-parametric efficiency, progress and regress measures for panel data: Methodological aspects," CORE Discussion Papers RP 1132, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
- Mette Asmild & Fai Tam, 2007. "Estimating global frontier shifts and global Malmquist indices," Journal of Productivity Analysis, Springer, vol. 27(2), pages 137-148, April.
- Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-13, June.
- Wade Cook & Moez Hababou & Hans Tuenter, 2000. "Multicomponent Efficiency Measurement and Shared Inputs in Data Envelopment Analysis: An Application to Sales and Service Performance in Bank Branches," Journal of Productivity Analysis, Springer, vol. 14(3), pages 209-224, November.
- Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
- Bert Balk & Rolf Färe & Shawna Grosskopf & Dimitris Margaritis, 2008. "Exact relations between Luenberger productivity indicators and Malmquist productivity indexes," Economic Theory, Springer, vol. 35(1), pages 187-190, April.
- George E. Battese & D. S. Prasada Rao, 2002. "Technology Gap, Efficiency, and a Stochastic Metafrontier Function," International Journal of Business and Economics, College of Business, and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 1(2), pages 87-93, August.
- Bolt, Wilko & Humphrey, David, 2010.
"Bank competition efficiency in Europe: A frontier approach,"
Journal of Banking & Finance,
Elsevier, vol. 34(8), pages 1808-1817, August.
- Wilko Bolt & David Humphrey, 2008. "Bank Competition Efficiency in Europe: A Frontier Approach," DNB Working Papers 194, Netherlands Central Bank, Research Department.
- Casu, Barbara & Girardone, Claudia, 2010. "Integration and efficiency convergence in EU banking markets," Omega, Elsevier, vol. 38(5), pages 260-267, October.
- Cook, Wade D. & Hababou, Moez, 2001. "Sales performance measurement in bank branches," Omega, Elsevier, vol. 29(4), pages 299-307, August.
- Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-39, December.
- Feng, Guohua & Serletis, Apostolos, 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 & Finance,
Elsevier, vol. 34(1), pages 127-138, January.
- Guohua Feng & Apostolos Serletis, 2009. "Efficiency, Technical Change, and Returns to Scale in Large U.S. Banks: Panel Data Evidence from an Output Distance Function Satisfying Theoretical Regularity," Monash Econometrics and Business Statistics Working Papers 5/09, Monash University, Department of Econometrics and Business Statistics.
- Giokas, Dimitris I., 2008. "Assessing the efficiency in operations of a large Greek bank branch network adopting different economic behaviors," Economic Modelling, Elsevier, vol. 25(3), pages 559-574, May.
- Sahoo, Biresh K. & Tone, Kaoru, 2009. "Radial and non-radial decompositions of profit change: With an application to Indian banking," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1130-1146, August.
- Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
- Koutsomanoli-Filippaki, Anastasia & Margaritis, Dimitris & Staikouras, Christos, 2009. "Efficiency and productivity growth in the banking industry of Central and Eastern Europe," Journal of Banking & Finance, Elsevier, vol. 33(3), pages 557-567, March.
- Fare, R. & Grosskopf, S. & Hernandez-Sancho, F., 2004. "Environmental performance: an index number approach," Resource and Energy Economics, Elsevier, vol. 26(4), pages 343-352, December.
- Portela, Maria Conceicao A. Silva & Thanassoulis, Emmanuel, 2007. "Comparative efficiency analysis of Portuguese bank branches," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1275-1288, March.
- Simar, Leopold & Wilson, Paul W., 1999.
"Estimating and bootstrapping Malmquist indices,"
European Journal of Operational Research,
Elsevier, vol. 115(3), pages 459-471, June.
- Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
- Berg, Sigbjorn Atle & Forsund, Finn R. & Hjalmarsson, Lennart & Suominen, Matti, 1993. "Banking efficiency in the Nordic countries," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 371-388, April.
- Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
- Christopher O’Donnell & D. Rao & George Battese, 2008. "Metafrontier frameworks for the study of firm-level efficiencies and technology ratios," Empirical Economics, Springer, vol. 34(2), pages 231-255, March.
- Jesús Pastor & C. Lovell, 2007. "Circularity of the Malmquist productivity index," Economic Theory, Springer, vol. 33(3), pages 591-599, December.
- Grifell-Tatje, E. & Lovell, C. A. K., 1997. "The sources of productivity change in Spanish banking," European Journal of Operational Research, Elsevier, vol. 98(2), pages 364-380, April.
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