Measuring efficiency of commercial banks and other deposit institutions: DEA-Malmquist approach
DOI:
https://doi.org/10.24136/oc.3179Keywords:
bank efficiency, commercial banks, data envelopment analysis (DEA), Malmquist Index (MI), LithuaniaAbstract
Research background: Commercial banks play a vital role in the global financial system and are critical components of it. Hence, the efficient performance of commercial banks could lead to more robust economic stability, enhanced financial resilience, and sustainable growth. The pandemic/post-pandemic period forces the expansion of digitalisation in the economy, including the banking sector. The Malmquist Index helps to assess productivity change. This research fills the gap in measuring the dynamics of efficiency and productivity change during the pandemic/post-pandemic period in a small open economy.
Purpose of the article: The current study aims to assess and compare the dynamics of banking sector efficiency and productivity change in the pandemic/post-pandemic period.
Methods: Data Envelopment Analysis (DEA) was used in the current research in order to measure the efficiency of deposit institutions operating in Lithuania. The study employed the input-oriented Constant Returns to Scale (CRS) model in order to assess how efficiently the banks utilise the inputs to achieve the outputs. The calculations of the efficiency scores were complemented using the Malmquist Index, which evaluates the productivity change over time using Total Factor Productivity Change (TFPCH), Technical Efficiency Change (TECH), and Technological Change (TCCH).
Findings & value added: To the best of the authors’ knowledge, this is the first study to explore the banks’ efficiency and productivity change using DEA and MI for the Lithuanian banking sector. The research results have revealed varying efficiency among the Lithuanian commercial banks and other deposit institutions within the four investigated models. Depending on the model, some studied deposit institutions reached the highest scores, while others showed lower efficiency. However, the results of the Malmquist Index have showed overall productivity growth across all the models, underlining positive technological advancements despite challenges like the COVID-19 pandemic, i.e. the productivity change showed a positive dynamic over the analysed period. The present research provides valuable insights and contributes to efficiency-related knowledge, highlighting trends in productivity for strategic decision-making and policy formulation based on the case of deposit institutions operating in Lithuania. The results are valuable and could be practically implied by other EU banks operating in small open economies by adopting the practices of the banks that were considered efficient and showed positive productivity change. In other words, high-performing Lithuanian banks could be treated as a benchmark and set as a model for less efficient banks operating in other EU countries.
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References
Al-Khasawneh, J. A., Essaddam, N., & Hussain, T. (2020). Total productivity and cost efficiency dynamics of US merging banks: A nonparametric bootstrapped analysis of the fifth merger wave. Quarterly Review of Economics and Finance, 78, 199–211.
View in Google Scholar
Alsharif, M. (2021). The efficiency of banks and stock performance: Evidence from Saudi Arabia. Cogent Economics & Finance, 9(1), 1953726.
View in Google Scholar
Amirteimoori, A., Allahviranloo, T., & Nematizadeh, M. (2024a). A firm-specific Malmquist productivity index model for stochastic data envelopment analysis: An application to commercial banks. Financial Innovation, 10(1), 66.
View in Google Scholar
Anagnostopoulos, Y., Husa, K. A., & Noikokyris, E. (2022). A three-phase comparative efficiency analysis of US and EU banks. International Review of Economics & Finance, 81, 113–127.
View in Google Scholar
Antunes, J., Hadi-Vencheh, A., Jamshidi, A., Tan, Y., & Wanke, P. (2022). Bank efficiency estimation in China: DEA-RENNA approach. Annals of Operations Research, 315(2), 1373–1398.
View in Google Scholar
Blankson, N., Anarfo, E. B., Amewu, G., & Doabil, L. (2022). Examining the determinants of bank efficiency in transition: Empirical evidence from Ghana. Heliyon, 8(8), e10156.
View in Google Scholar
Boubaker, S., Do, D. T., Hammami, H., & Ly, K. C. (2022). The role of bank affiliation in bank efficiency: A fuzzy multi-objective data envelopment analysis approach. Annals of Operations Research, 311(2), 611–639.
View in Google Scholar
Boubaker, S., Le, T. D. Q., & Ngo, T. (2023). Managing bank performance under COVID‐19: A novel inverse DEA efficiency approach. International Transactions in Operational Research, 30(5), 2436–2452.
View in Google Scholar
Chen, M., Kang, Q., Wu, J., & Jeon, B. N. (2022). Do macroprudential policies affect bank efficiency? Evidence from emerging economies. Journal of International Financial Markets, Institutions and Money, 77, 101529.
View in Google Scholar
Chen, X., & Lu, C.-C. (2021). The impact of the macroeconomic factors in the bank efficiency: Evidence from the Chinese city banks. North American Journal of Economics and Finance, 55, 101294.
View in Google Scholar
Chen, Y. (2003). A non-radial Malmquist productivity index with an illustrative application to Chinese major industries. International Journal of Production Economics, 83(1), 27–35.
View in Google Scholar
Cho, T.-Y., & Chen, Y.-S. (2021). The impact of financial technology on China’s banking industry: An application of the metafrontier cost Malmquist productivity index. North American Journal of Economics and Finance, 57, 101414.
View in Google Scholar
Diallo, B. (2018). Bank efficiency and industry growth during financial crises. Economic Modelling, 68, 11–22.
View in Google Scholar
Duan, Y., Fan, X., Li, X., Rong, Y., & Shi, B. (2021). Do efficient banks create more liquidity: International evidence. Finance Research Letters, 42, 101919.
View in Google Scholar
Duan, Y., & Niu, J. (2020). Liquidity creation and bank profitability. North American Journal of Economics and Finance, 54, 101250.
View in Google Scholar
Egbendewe, A. Y. G., & Oloufade, D. K. (2020). Good institutions and banking sector competitiveness: A semi-parametric evidence. Finance Research Letters, 36, 101342.
View in Google Scholar
Fernández, X. L., Paz-Saavedra, D., & Coto-Millán, P. (2020). The impact of Brexit on bank efficiency: Evidence from UK and Ireland. Finance Research Letters, 36, 101338.
View in Google Scholar
Global Fintech ranking report. (2021).
View in Google Scholar
Gökgöz, F., Yalçın, E., & Salahaldeen, N. A. (2024). Investigating the financial efficiencies and productivities of the banking sector. Journal of Economic Studies, 51(5), 1036–1057.
View in Google Scholar
Grubišić, Z., Kamenković, S., & Kaličanin, T. (2021). Comparative analysis of the banking sector competitiveness in Serbia and Montenegro. Journal of Central Banking Theory and Practice, 10(1), 75–91.
View in Google Scholar
Gurjar, H., Tripathi, A., & Joshi, M. C. (2021). The bank efficiency through off-balance sheet items’ window: A Malmquist approach. Vision: The Journal of Business Perspective, 25(4), 448–459.
View in Google Scholar
Han, Y., Lou, X., Feng, M., Geng, Z., Chen, L., Ping, W., & Lu, G. (2022). Energy consumption analysis and saving of buildings based on static and dynamic input-output models. Energy, 239, 122240.
View in Google Scholar
Holod, D., & Lewis, H. F. (2011). Resolving the deposit dilemma: A new DEA bank efficiency model. Journal of Banking & Finance, 35(11), 2801–2810.
View in Google Scholar
Iosifidi, M., Panopoulou, E., & Tsoumas, C. (2021). Mortgage loan demand and banks’ operational efficiency. Journal of Financial Stability, 53, 100851.
View in Google Scholar
Jreisat, A., Rabbani, M. R., Omran, S., Al-Mohamad, S., & Bakry, W. (2022). An examination of the banking efficiency of the BRICS countries: A perspective derived from the oil price volatility. Cogent Economics & Finance, 10(1).
View in Google Scholar
Jungo, J., Madaleno, M., & Botelho, A. (2021). Financial literacy and financial inclusion effects on stability and competitiveness indicators in the banking sector: cross country evidence for Africa and the world. Global Economy Journal, 21(02), 2150009.
View in Google Scholar
Kang, L., & Wu, C. (2021). Measuring the development of Chinese provincial road safety over the period 2007–2016. Measurement, 175, 109133.
View in Google Scholar
Karadžić, V., & Đalović, N. (2021). Profitability determinants of big European banks. Journal of Central Banking Theory and Practice, 10(2), 39–56.
View in Google Scholar
Kozak, S., & Wierzbowska, A. (2021). Banking market concentration and bank efficiency. Evidence from Southern, Eastern and Central Europe. South East European Journal of Economics and Business, 16(1), 38–52.
View in Google Scholar
Kumar, A., Anand, N., & Batra, V. (2020). Trends in Indian private sector bank efficiency: Non-stochastic frontier DEA Window analysis approach. Journal of Asian Finance, Economics and Business, 7(10), 729–740.
View in Google Scholar
Kweh, Q. L., Lu, W.-M., Tone, K., & Liu, H.-M. (2024). Evaluating the resource management and profitability efficiencies of US commercial banks from a dynamic network perspective. Financial Innovation, 10(1), 19.
View in Google Scholar
Liao, C. (2022). Do e-business services enhance bank efficiency in Taiwan? International Journal of Information Systems in the Service Sector, 14(1), 1–17.
View in Google Scholar
Lin, K.-L., Doan, A. T., & Doong, S.-C. (2016). Changes in ownership structure and bank efficiency in Asian developing countries: the role of financial freedom. International Review of Economics & Finance, 43, 19–34.
View in Google Scholar
Li, R., Li, L., & Zou, P. (2020). Credit risk shocks and banking efficiency: A study based on a bootstrap-DEA model with nonperforming loans as bad output. Journal of Economic Studies, 48(1), 1–19.
View in Google Scholar
Li, S., & Li, X. (2022). Bank competition, regulation, and efficiency: evidence from the Asia-Pacific region. Asia-Pacific Journal of Accounting & Economics, 29(3), 715–742.
View in Google Scholar
Lithuanian Banking Association. (2024). Statistics. https://www.lba.lt/en/a-statistics
View in Google Scholar
Milenković, N., Radovanov, B., Kalaš, B., & Horvat, A. M. (2022). External two stage DEA analysis of bank efficiency in West Balkan countries. Sustainability, 14(2), 978.
View in Google Scholar
Minviel, J. J., & Ben Bouheni, F. (2021). Technical and managerial efficiency assessment of European banks using a conditional nonparametric approach. International Transactions in Operational Research, 28(2), 560–597.
View in Google Scholar
Miroshnichenko, O., Iakovleva, E., & Voronova, N. (2022). Banking sector profitability: Does household income matter? Sustainability, 14(6), 3345.
View in Google Scholar
Nartey, S. B., Osei, K. A., & Sarpong-Kumankoma, E. (2019). Bank productivity in Africa. International Journal of Productivity and Performance Management, 69(9), 1973–1997.
View in Google Scholar
Nguyen, H. T. H., & Nguyen, M. V. T. (2022). Evaluating the operating efficiency of joint-stock commercial banks in Viet Nam through the restructuring period. Journal of Eastern European and Central Asian Research (JEECAR), 9(3), 399–408.
View in Google Scholar
Nguyen, T. L. A., & Vo, X. V. (2020). Does corporate governance really matter for bank efficiency? Evidence from ASEAN countries. Eurasian Economic Review, 10(4), 681–706.
View in Google Scholar
Niu, J. (2023). Bank size and liquidity creation. Applied Economics Letters, 30(2), 157–161.
View in Google Scholar
Osei-Tutu, F. (2022). High corruption, less bank efficiency? Comparative Economic Studies. , 64, 540–561.
View in Google Scholar
Osei-Tutu, F., & Weill, L. (2022). Bank efficiency and access to credit: International evidence. Economic Systems, 46(3), 101016.
View in Google Scholar
Patra, B., Padhan, P. C., & Padhi, P. (2023). Efficiency of Indian banks – private versus public sector banks: A two-stage analysis. Cogent Economics & Finance, 11(1), 2163081.
View in Google Scholar
Phung, Q. T., Van Vu, H., & Tran, H. P. (2022). Do nonperforming loans impact bank efficiency? Finance Research Letters, 46, 102393.
View in Google Scholar
Řepková, I. (2014). Efficiency of the Czech banking sector employing the DEA Window analysis approach. Procedia Economics and Finance, 12, 587–596.
View in Google Scholar
Shaddady, A., & Alnori, F. (2024). ESG practices and bank efficiency: New evidence from an oil-driven economy. International Journal of Islamic and Middle Eastern Finance and Management, 17(2), 233–251.
View in Google Scholar
Shamshur, A., & Weill, L. (2019). Does bank efficiency influence the cost of credit? Journal of Banking & Finance, 105, 62–73.
View in Google Scholar
Shamsuddin, A., & Xiang, D. (2012a). Does bank efficiency matter? Market value relevance of bank efficiency in Australia. Applied Economics, 44(27), 3563–3572.
View in Google Scholar
Šiaulių bankas. (2024). Information on Šiaulių Bankas strategy update 2024 - 2029.
View in Google Scholar
Sibanda, W., & Chaita, M. (2023). Modelling technical efficiency and productivity growth of UAE banks: A three-stage analytical framework. International Journal of Business Performance Management, 24(3/4), 556–598.
View in Google Scholar
Staub, R. B., da Silva e Souza, G., & Tabak, B. M. (2010). Evolution of bank efficiency in Brazil: A DEA approach. European Journal of Operational Research, 202(1), 204–213.
View in Google Scholar
Stubelj, I., Trunk, A., Švagan, B., & Laporšek, S. (2023). Productivity change in the CEE commercial banks during a period of restricted bank regulation and stable economic growth. Economies, 11(10), 260.
View in Google Scholar
Takahashi, F. L., & Vasconcelos, M. R. (2024). Bank efficiency and undesirable output: An analysis of nonperforming loans in the Brazilian banking sector. Finance Research Letters, 59, 104651.
View in Google Scholar
Titko, J., Stankevičienė, J., & Lāce, N. (2014). Measuring bank efficiency: DEA approach. Technological and Economic Development of Economy, 20(4), 739–757.
View in Google Scholar
Toloo, M., & Tavana, M. (2017). A novel method for selecting a single efficient unit in data envelopment analysis without explicit inputs/outputs. Annals of Operations Research, 253(1), 657–681.
View in Google Scholar
U-Din, S., & Tripe, D. (2022). Banking market structure and efficiency: An assessment of the USA and Canada. Journal of Economic Studies, 49(6), 1076–1091.
View in Google Scholar
Vo, X. V., & Nguyen, H. H. (2018). Bank restructuring and bank efficiency—The case of Vietnam. Cogent Economics & Finance, 6(1), 1520423.
View in Google Scholar
Wang, C.-N., Nguyen, N.-A.-T., Dang, T.-T., & Trinh, T.-T.-Q. (2021). A decision support model for measuring technological progress and productivity growth: The case of commercial banks in Vietnam. Axioms, 10(3), 131.
View in Google Scholar
Wang, Y., Chen, L., & Cui, M. (2024). What explains the operational efficiency of listed commercial banks in China? Evidence from a three-stage DEA-Tobit modeling analysis. Heliyon, 10(13), e33716.
View in Google Scholar
Wu, H., Yang, J., Wu, W., & Chen, Y. (2023). Interest rate liberalisation and bank efficiency: A DEA analysis of Chinese commercial banks. Central European Journal of Operations Research, 31(2), 467–498.
View in Google Scholar
Xie, T., Li, Y., Chiu, Y.-H., & Ao, S. (2024). Research on the operation, market and ESG efficiency of China’s local commercial banks in the context of COVID-19. Computational Economics.
View in Google Scholar
Yeh, L., Chang, D., & Li, H. (2022). Developing a network data envelopment analysis model to measure the efficiency of banking with the governance, innovation, and operations. Managerial and Decision Economics, 43(7), 2863–2874.
View in Google Scholar
Yörük, B. K., & Zaim, O. (2005). Productivity growth in OECD countries: A comparison with Malmquist indices. Journal of Comparative Economics, 33(2), 401–420..
View in Google Scholar
Zhang, H., Chen, Z., Wang, J., Wang, H., & Zhang, Y. (2023). Spatial-temporal pattern of agricultural total factor productivity change (Tfpch) in China and its implications for agricultural sustainable development. Agriculture, 13(3), 718.
View in Google Scholar
Zhang, Z., & Li, J. (2020). Big-data-driven low-carbon management. In Big Data Mining for Climate Change (pp. 287–299). Elsevier Inc.
View in Google Scholar
Zhuang, H., Yin, H., Wang, M., & Yang, J. (2019). Bank efficiency and regional economic growth: Evidence from China. Annals of Economics and Finance, 20(2), 661–689.
View in Google Scholar
Zhu, C., Zhu, N., Emrouznejad, A., & Ye, T. (2024). A new Malmquist productivity index with an application to commercial banks. IMA Journal of Management Mathematics, 35(2), 215–240.
View in Google Scholar
Zhu, N., Liu, Y., Emrouznejad, A., & Huang, Q. (2017). An allocation Malmquist index with an application in the China securities industry. Operational Research, 17(2), 669–691.
View in Google Scholar
Zhu, N., Shah, W. U. H., Kamal, M. A., & Yasmeen, R. (2021). Efficiency and productivity analysis of Pakistan’s banking industry: A DEA approach. International Journal of Finance & Economics, 26(4), 6362–6374.
View in Google Scholar
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