IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v256y2017i2p629-639.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221716304519
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2016.06.031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. Maniadakis, Nikolaos & Thanassoulis, Emmanuel, 2004. "A cost Malmquist productivity index," European Journal of Operational Research, Elsevier, vol. 154(2), pages 396-409, April.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. N/A, 2004. "Index for 2004," European Union Politics, , vol. 5(4), pages 511-512, December.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ayouba, Kassoum & Boussemart, Jean-Philippe & Lefer, Henri-Bertrand & Leleu, Hervé & Parvulescu, Raluca, 2022. "An indirect, Luenberger approach to price performance," International Journal of Production Economics, Elsevier, vol. 244(C).
    2. 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.
    3. Xiang Chen, 2018. "An allocation productivity indicator: Application in Taiwanese banks," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 8(5), pages 1-2.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin & Lin, Yu-Hui, 2016. "Non-radial profit performance: An application to Taiwanese banks," Omega, Elsevier, vol. 65(C), pages 111-121.
    2. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin & Lin, Yu-Hui, 2015. "Profit-oriented productivity change," Omega, Elsevier, vol. 57(PB), pages 176-187.
    3. 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.
    4. Fukuyama, Hirofumi & Weber, William L., 2010. "A slacks-based inefficiency measure for a two-stage system with bad outputs," Omega, Elsevier, vol. 38(5), pages 398-409, October.
    5. Xiang Chen, 2018. "An allocation productivity indicator: Application in Taiwanese banks," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 8(5), pages 1-2.
    6. Akther, Syed & Fukuyama, Hirofumi & Weber, William L., 2013. "Estimating two-stage network Slacks-based inefficiency: An application to Bangladesh banking," Omega, Elsevier, vol. 41(1), pages 88-96.
    7. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    8. Rafael Benítez & Vicente Coll-Serrano & Vicente J. Bolós, 2021. "deaR-Shiny: An Interactive Web App for Data Envelopment Analysis," Sustainability, MDPI, vol. 13(12), pages 1-19, June.
    9. Emrouznejad, Ali & Yang, Guo-liang, 2016. "CO2 emissions reduction of Chinese light manufacturing industries: A novel RAM-based global Malmquist–Luenberger productivity index," Energy Policy, Elsevier, vol. 96(C), pages 397-410.
    10. Tianqun Xu & Ping Gao & Qian Yu & Debin Fang, 2017. "An Improved Eco-Efficiency Analysis Framework Based on Slacks-Based Measure Method," Sustainability, MDPI, vol. 9(6), pages 1-21, June.
    11. Jradi, Samah & Bouzdine Chameeva, Tatiana & Aparicio, Juan, 2019. "The measurement of revenue inefficiency over time: An additive perspective," Omega, Elsevier, vol. 83(C), pages 167-180.
    12. Sahoo, Biresh K. & Mehdiloozad, Mahmood & Tone, Kaoru, 2014. "Cost, revenue and profit efficiency measurement in DEA: A directional distance function approach," European Journal of Operational Research, Elsevier, vol. 237(3), pages 921-931.
    13. 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.
    14. Liu, Guangtian & Wang, Bing & Zhang, Ning, 2016. "A coin has two sides: Which one is driving China’s green TFP growth?," Economic Systems, Elsevier, vol. 40(3), pages 481-498.
    15. Chen, Xiaodong & Guo, Anda & Miao, Zhuang & Zhu, Pengyu, 2024. "Assessing the performance of the transport sector within the global supply chain context: Decomposition of energy and environmental productivity," Applied Energy, Elsevier, vol. 358(C).
    16. Manh D. Pham & Valentin Zelenyuk, 2018. "Slack-based directional distance function in the presence of bad outputs: theory and application to Vietnamese banking," Empirical Economics, Springer, vol. 54(1), pages 153-187, February.
    17. 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.
    18. Juan Aparicio & Magdalena Kapelko & Bernhard Mahlberg & Jose L. Sainz-Pardo, 2017. "Measuring input-specific productivity change based on the principle of least action," Journal of Productivity Analysis, Springer, vol. 47(1), pages 17-31, February.
    19. Pastor, Jesus T. & Zofío, José Luis & Aparicio, Juan & Pastor, D., 2023. "A general direct approach for decomposing profit inefficiency," Omega, Elsevier, vol. 119(C).
    20. Juan Aparicio & Fernando Borras & Lidia Ortiz & Jesus T. Pastor & Fernando Vidal, 2019. "Luenberger-type indicators based on the weighted additive distance function," Annals of Operations Research, Springer, vol. 278(1), pages 195-213, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:256:y:2017:i:2:p:629-639. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.