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Non-radial cost Luenberger productivity indicator

Author

Listed:
  • Lin, Yu-Hui
  • Fu, Tsu-Tan
  • Chen, Chia-Li
  • Juo, Jia-Ching

Abstract

This study decomposes cost inefficiency into technical and allocative components in a more general way based on the directional Russell measure (DRM) of Fukuyama and Weber (2009), with the allocative component being completely clear of technical inefficiency. Based on this decomposition, we develop a cost-oriented productivity indicator, the cost Luenberger productivity indicator (CL), which completely embraces the concept of cost minimization and provides four sources of productivity change: technical efficiency change, the change in allocative efficiency, the shift of technology, and the effect of input price change. To illustrate the above decompositions of cost inefficiency and productivity change and to investigate whether the establishment of a financial holding company (FHC) offers a bank greater operating efficiency and an improvement in productivity change, this study employs data on Taiwan's banking industry covering the period 2006–2012.

Suggested Citation

  • Lin, Yu-Hui & Fu, Tsu-Tan & Chen, Chia-Li & Juo, Jia-Ching, 2017. "Non-radial cost Luenberger productivity indicator," European Journal of Operational Research, Elsevier, vol. 256(2), pages 629-639.
    • Handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:629-639
    DOI: 10.1016/j.ejor.2016.06.031
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    References listed on IDEAS

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    1. Lo, Shih-Fang & Lu, Wen-Min, 2009. "An integrated performance evaluation of financial holding companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 198(1), pages 341-350, October.
    2. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin, 2012. "Non-oriented slack-based decompositions of profit change with an application to Taiwanese banking," Omega, Elsevier, vol. 40(5), pages 550-561.
    3. Chambers, Robert G. & Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity Growth in APEC Countries," Working Papers 197843, University of Maryland, Department of Agricultural and Resource Economics.
    4. Mahlberg, Bernhard & Sahoo, Biresh K., 2011. "Radial and non-radial decompositions of Luenberger productivity indicator with an illustrative application," International Journal of Production Economics, Elsevier, vol. 131(2), pages 721-726, June.
    5. Mei-Ying Huang & Jia-Ching Juo & Tsu-tan Fu, 2015. "Metafrontier cost Malmquist productivity index: an application to Taiwanese and Chinese commercial banks," Journal of Productivity Analysis, Springer, vol. 44(3), pages 321-335, December.
    6. William Cooper & Kyung Park & Jesus Pastor, 1999. "RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA," Journal of Productivity Analysis, Springer, vol. 11(1), pages 5-42, February.
    7. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    8. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    9. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    10. Maniadakis, Nikolaos & Thanassoulis, Emmanuel, 2004. "A cost Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 154(2), pages 396-409, April.
    11. 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.
    12. Wang, Yi-Shu & Xie, Bai-Chen & Shang, Li-Feng & Li, Wen-Hua, 2013. "Measures to improve the performance of China’s thermal power industry in view of cost efficiency," Applied Energy, Elsevier, vol. 112(C), pages 1078-1086.
    13. Jia-Ching Juo, 2014. "Decomposing the change in profit of Taiwanese banks: incorporating risk," Journal of Productivity Analysis, Springer, vol. 41(2), pages 247-262, April.
    14. Fukuyama, Hirofumi & Weber, William L., 2009. "A directional slacks-based measure of technical inefficiency," Socio-Economic Planning Sciences, Elsevier, vol. 43(4), pages 274-287, December.
    15. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    16. Mei-Ying Huang & Tsu-Tan Fu, 2013. "An examination of the cost efficiency of banks in Taiwan and China using the metafrontier cost function," Journal of Productivity Analysis, Springer, vol. 40(3), pages 387-406, December.
    17. G Tohidi & S Razavyan & S Tohidnia, 2012. "A global cost Malmquist productivity index using data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 72-78, January.
    18. Lawrence M. Seiford & Joe Zhu, 1999. "Profitability and Marketability of the Top 55 U.S. Commercial Banks," Management Science, INFORMS, vol. 45(9), pages 1270-1288, September.
    19. Alireza Amirteimoori & Sohrab Kordrostami, 2010. "Multi-period efficiency analysis in data envelopment analysis," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(1), pages 113-128.
    20. Wheelock, David C. & Wilson, Paul W., 2013. "The evolution of cost-productivity and efficiency among US credit unions," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 75-88.
    21. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    22. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    23. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    24. 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.
    25. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    26. Chang, Tzu-Pu & Hu, Jin-Li & Chou, Ray Yeutien & Sun, Lei, 2012. "The sources of bank productivity growth in China during 2002–2009: A disaggregation view," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1997-2006.
    27. N/A, 2004. "Index for 2004," European Union Politics, , vol. 5(4), pages 511-512, December.
    28. Ball, E. & Fare, R. & Grosskopf, S. & Zaim, O., 2005. "Accounting for externalities in the measurement of productivity growth: the Malmquist cost productivity measure," Structural Change and Economic Dynamics, Elsevier, vol. 16(3), pages 374-394, September.
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    3. Doumpos, Michalis & Zopounidis, Constantin & Gounopoulos, Dimitrios & Platanakis, Emmanouil & Zhang, Wenke, 2023. "Operational research and artificial intelligence methods in banking," European Journal of Operational Research, Elsevier, vol. 306(1), pages 1-16.

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