IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v255y2016i2p411-421.html
   My bibliography  Save this article

A parallel production frontiers approach for intertemporal efficiency analysis: The case of Taiwanese commercial banks

Author

Listed:
  • Kao, Chiang
  • Liu, Shiang-Tai

Abstract

A comparison of the efficiency of a production unit at one period with those of other units at another period is challenging, because the bases for calculating efficiency are usually different. The Malmquist productivity index (MPI) is an effective measure that can overcome this difficulty. However, the existing measures of this index have various weaknesses with regard to feasibility, circularity, decomposability, and consistency. This paper thus develops a model to construct parallel production frontiers for the units at different periods to measure the MPI. This model is always feasible, the calculated MPI has the property of circularity, it can be decomposed into the product of efficiency change and technical change, and the results are consistent. An application of this model to Taiwanese commercial banks for the period 2008–2013 confirms these merits. The results also indicate that in general the MPIs of these banks increased from 2008 to 2013, and this was attributed to improvements in technology. Since the efficiencies measured from the parallel model are comparable among different units and different periods, they can be used for intertemporal analysis to identify the banks with unsatisfactory performance in different periods.

Suggested Citation

  • Kao, Chiang & Liu, Shiang-Tai, 2016. "A parallel production frontiers approach for intertemporal efficiency analysis: The case of Taiwanese commercial banks," European Journal of Operational Research, Elsevier, vol. 255(2), pages 411-421.
    • Handle: RePEc:eee:ejores:v:255:y:2016:i:2:p:411-421
    DOI: 10.1016/j.ejor.2016.04.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221716302843
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2016.04.047?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. Kao, Chiang, 2013. "Dynamic data envelopment analysis: A relational analysis," European Journal of Operational Research, Elsevier, vol. 227(2), pages 325-330.
    2. Berger, Allen N. & Humphrey, David B., 1991. "The dominance of inefficiencies over scale and product mix economies in banking," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 117-148, August.
    3. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    4. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    5. Yung-Ho Chiu & Chyanlong Jan & Da-Bai Shen & Pen-Chun Wang, 2008. "Efficiency and capital adequacy in Taiwan banking: BCC and super-DEA estimation," The Service Industries Journal, Taylor & Francis Journals, vol. 28(4), pages 479-496, May.
    6. Kao, Chiang & Liu, Shiang-Tai, 2009. "Stochastic data envelopment analysis in measuring the efficiency of Taiwan commercial banks," European Journal of Operational Research, Elsevier, vol. 196(1), pages 312-322, July.
    7. Kao, Chiang, 2010. "Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization," Omega, Elsevier, vol. 38(6), pages 484-491, December.
    8. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    9. Wheelock, David C & Wilson, Paul W, 1999. "Technical Progress, Inefficiency, and Productivity Change in U.S. Banking, 1984-1993," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 212-234, May.
    10. Kao, Chiang & Liu, Shiang-Tai, 2004. "Predicting bank performance with financial forecasts: A case of Taiwan commercial banks," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2353-2368, October.
    11. 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.
    12. Chowdhury, Hedayet & Zelenyuk, Valentin & Laporte, Audrey & Wodchis, Walter P., 2014. "Analysis of productivity, efficiency and technological changes in hospital services in Ontario: How does case-mix matter?," International Journal of Production Economics, Elsevier, vol. 150(C), pages 74-82.
    13. Charnes, A. & Cooper, W. W., 1984. "The non-archimedean CCR ratio for efficiency analysis: A rejoinder to Boyd and Fare," European Journal of Operational Research, Elsevier, vol. 15(3), pages 333-334, March.
    14. Aparicio, Juan & Pastor, Jesus T. & Zofio, Jose L., 2013. "On the inconsistency of the Malmquist–Luenberger index," European Journal of Operational Research, Elsevier, vol. 229(3), pages 738-742.
    15. Gabriel R. Bitran & Li Chang, 1984. "Productivity Measurement at the Firm Level," Interfaces, INFORMS, vol. 14(3), pages 29-40, June.
    16. Yi-Hsing Lin & George J. Y. Hsu & Ching-Kai Hsiao, 2007. "Measuring efficiency of domestic banks in Taiwan: application of data envelopment analysis and Malmquist index," Applied Economics Letters, Taylor & Francis Journals, vol. 14(11), pages 821-827.
    17. 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.
    18. Dong-hyun Oh & Jeong-dong Lee, 2010. "A metafrontier approach for measuring Malmquist productivity index," Empirical Economics, Springer, vol. 38(1), pages 47-64, February.
    19. George Battese & D. Rao & Christopher O'Donnell, 2004. "A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies," Journal of Productivity Analysis, Springer, vol. 21(1), pages 91-103, January.
    20. 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.
    21. George E. Battese & D. S. Prasada Rao, 2002. "Technology Gap, Efficiency, and a Stochastic Metafrontier Function," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 1(2), pages 87-93, August.
    22. Aly, Hassan Y, et al, 1990. "Technical, Scale, and Allocative Efficiencies in U.S. Banking: An Empirical Investigation," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 211-218, May.
    23. Kao, Chiang & Hwang, Shiuh-Nan, 2014. "Multi-period efficiency and Malmquist productivity index in two-stage production systems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 512-521.
    24. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    25. Yongrok Choi & Dong-hyun Oh & Ning Zhang, 2015. "Environmentally sensitive productivity growth and its decompositions in China: a metafrontier Malmquist–Luenberger productivity index approach," Empirical Economics, Springer, vol. 49(3), pages 1017-1043, November.
    26. Podinovski, Victor V. & Ismail, Ihsan & Bouzdine-Chameeva, Tatiana & Zhang, Wenjuan, 2014. "Combining the assumptions of variable and constant returns to scale in the efficiency evaluation of secondary schools," European Journal of Operational Research, Elsevier, vol. 239(2), pages 504-513.
    27. Kao, Chiang & Liu, Shiang-Tai, 2014. "Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks," Omega, Elsevier, vol. 47(C), pages 90-98.
    28. Brennan, Shae & Haelermans, Carla & Ruggiero, John, 2014. "Nonparametric estimation of education productivity incorporating nondiscretionary inputs with an application to Dutch schools," European Journal of Operational Research, Elsevier, vol. 234(3), pages 809-818.
    29. Hsiao, Hsing-Chin & Chang, Hsihui & Cianci, Anna M. & Huang, Li-Hua, 2010. "First Financial Restructuring and operating efficiency: Evidence from Taiwanese commercial banks," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1461-1471, July.
    30. Jesús Pastor & C. Lovell, 2007. "Circularity of the Malmquist productivity index," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 591-599, December.
    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. Toshiyuki Sueyoshi & Mika Goto, 2020. "Performance Assessment of Japanese Electric Power Industry: DEA Measurement with Future Impreciseness," Energies, MDPI, vol. 13(2), pages 1-24, January.
    2. Imad Bou-Hamad & Abdel Latef Anouze & Denis Larocque, 2017. "An integrated approach of data envelopment analysis and boosted generalized linear mixed models for efficiency assessment," Annals of Operations Research, Springer, vol. 253(1), pages 77-95, June.
    3. Vaneet Bhatia & Sankarshan Basu & Subrata Kumar Mitra & Pradyumna Dash, 2018. "A review of bank efficiency and productivity," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 557-600, November.
    4. Partovi, Elmira & Matousek, Roman, 2019. "Bank efficiency and non-performing loans: Evidence from Turkey," Research in International Business and Finance, Elsevier, vol. 48(C), pages 287-309.
    5. Sueyoshi, Toshiyuki & Goto, Mika, 2019. "The intermediate approach to sustainability enhancement and scale-related measures in environmental assessment," European Journal of Operational Research, Elsevier, vol. 276(2), pages 744-756.
    6. Kao, Chiang, 2022. "Closest targets in the slacks-based measure of efficiency for production units with multi-period data," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1042-1054.
    7. Kao, Chiang & Liu, Shiang-Tai, 2019. "Cross efficiency measurement and decomposition in two basic network systems," Omega, Elsevier, vol. 83(C), pages 70-79.
    8. Marjanović Ivana & Stanković Jelena J. & Popović Žarko, 2018. "Efficiency Estimation of Commercial Banks Based on Financial Performance: Input Oriented DEA CRS/VRS Models," Economic Themes, Sciendo, vol. 56(2), pages 239-252, June.

    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. Kao, Chiang & Liu, Shiang-Tai, 2014. "Measuring performance improvement of Taiwanese commercial banks under uncertainty," European Journal of Operational Research, Elsevier, vol. 235(3), pages 755-764.
    2. Mohsen Afsharian & Heinz Ahn, 2015. "The overall Malmquist index: a new approach for measuring productivity changes over time," Annals of Operations Research, Springer, vol. 226(1), pages 1-27, March.
    3. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    4. Chiu, Yung-ho & Luo, Zhengying & Chen, Yu-Chuan & Wang, Zebin & Tsai, Min-Pei, 2013. "A comparison of operating performance management between Taiwan banks and foreign banks based on the Meta-Hybrid DEA model," Economic Modelling, Elsevier, vol. 33(C), pages 433-439.
    5. Kao, Chiang & Liu, Shiang-Tai, 2014. "Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks," Omega, Elsevier, vol. 47(C), pages 90-98.
    6. Kao, Chiang & Liu, Shiang-Tai, 2019. "Stochastic efficiency measures for production units with correlated data," European Journal of Operational Research, Elsevier, vol. 273(1), pages 278-287.
    7. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    8. Imad Bou-Hamad & Abdel Latef Anouze & Denis Larocque, 2017. "An integrated approach of data envelopment analysis and boosted generalized linear mixed models for efficiency assessment," Annals of Operations Research, Springer, vol. 253(1), pages 77-95, June.
    9. Dakpo, K Hervé & Desjeux, Yann & Jeanneaux, Philippe & Latruffe, Laure, 2016. "Productivity, efficiency and technological change in French agriculture during 2002-2014: A Färe-Primont index decomposition," 149th Seminar, October 27-28, 2016, Rennes, France 244793, European Association of Agricultural Economists.
    10. Chiang Kao & Shiang-Tai Liu & Hwei-Lan Pao, 2012. "Assessing improvement in management research in Taiwan," Scientometrics, Springer;Akadémiai Kiadó, vol. 92(1), pages 75-87, July.
    11. Barnabé Walheer, 2022. "Global Malmquist and cost Malmquist indexes for group comparison," Journal of Productivity Analysis, Springer, vol. 58(1), pages 75-93, August.
    12. Dakpo, K Hervé & Desjeux, Yann & Jeanneaux, Philippe & Latruffe , Laure, 2017. "Productivity, technical efficiency and technological change in French agriculture during 2002-2014: A Färe-Primont index decomposition," Working Papers 263010, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    13. Chiu, Ching-Ren & Chiu, Yung-Ho & Chen, Yu-Chuan & Fang, Chen-Ling, 2016. "Exploring the source of metafrontier inefficiency for various bank types in the two-stage network system with undesirable output," Pacific-Basin Finance Journal, Elsevier, vol. 36(C), pages 1-13.
    14. Afsharian, Mohsen & Ahn, Heinz & Harms, Sören Guntram, 2019. "Performance comparison of management groups under centralised management," European Journal of Operational Research, Elsevier, vol. 278(3), pages 845-854.
    15. Chiu, Yung-Ho & Lee, Jen-Hui & Lu, Ching-Cheng & Shyu, Ming-Kuang & Luo, Zhengying, 2012. "The technology gap and efficiency measure in WEC countries: Application of the hybrid meta frontier model," Energy Policy, Elsevier, vol. 51(C), pages 349-357.
    16. Kao, Chiang, 2010. "Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization," Omega, Elsevier, vol. 38(6), pages 484-491, December.
    17. Hsiao-Yin Chen & Chin-wei Huang & Yung-Ho Chiu, 2017. "An intertemporal efficiency and technology measurement for tourist hotel," Journal of Productivity Analysis, Springer, vol. 48(1), pages 85-96, August.
    18. Aparicio, Juan & López-Torres, Laura & Santín, Daniel, 2018. "Economic crisis and public education. A productivity analysis using a Hicks-Moorsteen index," Economic Modelling, Elsevier, vol. 71(C), pages 34-44.
    19. Barnabé Walheer, 2018. "Cost Malmquist productivity index: an output-specific approach for group comparison," Journal of Productivity Analysis, Springer, vol. 49(1), pages 79-94, February.
    20. Chen, Xiang & Grifell-Tatjé, Emili & Fu, Tsu-Tan, 2023. "A profit difference decomposition model for measuring group performance: an application to Chinese and Taiwanese commercial banks," Omega, Elsevier, vol. 120(C).

    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:255:y:2016:i:2:p:411-421. 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.