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Assessing the performance of Canadian credit unions using a three-stage network bootstrap DEA

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Abstract

We use a novel three-stage network data envelopment analysis (DEA) model (based on production, intermediation, and revenue generation operations) with bootstrapping to evaluate the performance of 14 of the largest Canadian credit unions for the period 2007–2017 and the impact of various events on this performance. For each analysis, we contrast the results of the network DEA with those of a black box DEA. We show that the former provides more insightful information regarding the sources of the inefficiencies. We first found that while overall, the credit unions showed high-efficiency ratios, there is room for improvement, especially for the production sub-process. Moreover, the efficiency of individual credit unions is not consistent across the three different stages. Through the years 2007–2017, the credit union system exhibits a relatively sharp decline in its efficiency, mainly due to managerial issues at the revenue generation stage. Our analyses show that the various stages of Canadian credit union operations have been affected by the 2007–2009 financial crisis, the low policy interest rates that occurred in the following years, and the fact that in Canada, the federal government has eliminated the discount on the federal tax rate. The credit unions can improve their performance at the different stages by exploring Fintech Solutions to reduce their operating costs, seeking a better mix of loans and securities investments, and improving their interest and saving rate settings.

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References

  • Aggelopoulos, E., & Georgopoulos, A. (2017). Bank branch efficiency under environmental change: A bootstrap DEA on monthly profit and loss accounting statements of Greek retail branches. European Journal of Operational Research, 261(3), 1170–1188.

    Google Scholar 

  • Akther, S., Fukuyama, H., & Weber, W. L. (2013). Estimating two-stage network slacks-based inefficiency: An application to Bangladesh banking. Omega, 41(1), 88–96.

    Google Scholar 

  • Assaf, A. G., Barros, C., & Sellers-Rubio, R. (2011). Efficiency determinants in retail stores: A Bayesian framework. Omega, 39(1), 283–292.

    Google Scholar 

  • Balk, B. M. (2001). Scale efficiency and productivity change. Journal of Productivity Analysis, 15(3), 159–183.

    Google Scholar 

  • Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale efficiencies in data envelopment analysis. Management Science, 30(9), 1078–1092.

    Google Scholar 

  • Banker, R. D., Charnes, A., Cooper, W. W., & Maindiratta, A. (1988). A comparison of DEA and translog estimates of production frontiers using simulated observations from a known technology. In A. Dogramaci & R. Färe (Eds.), Applications of modern production theory: Efficiency and productivity (pp. 33–55). Dordrecht: Springer.

    Google Scholar 

  • Banker, R. D., Conrad, R. F., & Strauss, R. P. (1986). A comparative application of data envelopment analysis and translog methods: An illustrative study of hospital production. Management Science, 32(1), 30–44.

    Google Scholar 

  • Borodak, D. (2007). Les outils d’analyse des performances productives utilisés en économie et gestion: la mesure de l’efficience technique et ses déterminants. (Cahiers de recherches, No. 5/2007). Clermont-Ferrand: Groupe ESC CLERMONT.

  • Bowlin, W. F., Charnes, A., Cooper, W. W., & Sherman, H. D. (1984). Data envelopment analysis and regression approaches to efficiency estimation and evaluation. Annals of Operations Research, 2(1), 113–138.

    Google Scholar 

  • CCUA. (2017). 2017 Community and economic impact Report. Retrieved on December 1, 2018, from https://ccua.com/news/canadian-credit-unions-celebrate-positive-impact-on-community-and-economy-on-international-credit-union-day/.

  • CCUA. (2018). The largest 100 credit unions/caisses populaires (Second Quarter 2018). Retrieved on December 1, 2018, from https://ccua.com/about-credit-unions/facts-and-figures/largest-100-credit-unions/.

  • Charnes, A., Cooper, W. W., Lewinet, A. Y., & Seiford, L. M. (1995). Data envelopment analysis: Theory, Methodology and Applications. Boston: Kluwer Academic Publishers.

    Google Scholar 

  • Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision-making units. European Journal of Operational Research, 2(6), 429–444.

    Google Scholar 

  • Chen, Y., Cook, W. D., & Lim, S. (2019). Preface: DEA and its applications in operations and data analytics. Annals of Operations Research, 278(1–2), 1–4.

    Google Scholar 

  • Chen, P. C., & Lu, Y. H. (2015). The impact of reform on the production efficiency of Taiwan’s farmers’ credit unions: An application of a two-stage production system with undesirable outputs. Academia Economic Papers, 43(1), 81.

    Google Scholar 

  • Cook, W. D., & Seiford, L. M. (2009). Data envelopment analysis (DEA)—thirty years on. European Journal of Operational Research, 192(1), 1–17.

    Google Scholar 

  • Daraio, C., & Simar, L. (2007). The measurement of efficiency. In C. Daraio & L. Simar (Eds.), Advanced robust and nonparametric methods in efficiency analysis. New York: Springer.

    Google Scholar 

  • Deloitte. (2013). 2013 federal budgetimpact on credit unions. Retrieved on February 22, 2019, from https://www2.deloitte.com/content/dam/Deloitte/ca/Documents/tax/ca-en-tax-2013-federal-budget-impact-on-credit-unions.pdf.

  • DeYoung, R., & Rice, T. (2004). How do banks make money? A variety of business strategies. Economic Perspectives-Federal Reserve Bank of Chicago, 28(4), 52–67.

    Google Scholar 

  • Emrouznejad, A., & Yang, G. L. (2018). A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016. Socio-Economic Planning Sciences, 61(2), 4–8.

    Google Scholar 

  • Emrouznejad, A., Parker, B., & Tavares, G. (2008). Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA. Journal of Socio-Economic Planning Sciences, 42(1), 151–157.

    Google Scholar 

  • Färe, R., Grosskopf, S., & Whittaker, G. (2007). Network dea. In J. Zhu & W. D. Cook (Eds.), Modeling data irregularities and structural complexities in data envelopment analysis (pp. 209–240). Boston, MA: Springer.

    Google Scholar 

  • Folan, P., & Browne, J. (2005). A review of performance measurement: Towards performance management. Computers in Industry, 56(7), 663–680.

    Google Scholar 

  • Fried, H. O., Lovell, C. K., & Eeckaut, P. V. (1993). Evaluating the performance of US credit unions. Journal of Banking & Finance, 17(2–3), 251–265.

    Google Scholar 

  • Fried, H. O., Lovell, K. C. A., & Schmidt, S. S. (2008). The measurement of productive efficiency and productivity growth. Oxford: Oxford University Press.

    Google Scholar 

  • Fried, H. O., Lovell, C. K., & Turner, J. A. (1996). An analysis of the performance of university-affiliated credit unions. Computers & Operations Research, 23(4), 375–384.

    Google Scholar 

  • Fu, H. P., Chang, T. H., Shieh, L., Lin, A. F., & Lin, S. W. (2015). Applying DEA–BPN to enhance the explanatory power of performance measurement. Systems Research and Behavioral Science, 32(6), 707–720.

    Google Scholar 

  • Fukuyama, H., & Matousek, R. (2017). Modelling bank performance: A network DEA approach. European Journal of Operational Research, 259(2), 721–732.

    Google Scholar 

  • Fukuyama, H., & Weber, W. L. (2015). Measuring Japanese bank performance: A dynamic network DEA approach. Journal of Productivity Analysis, 44(3), 249–264.

    Google Scholar 

  • Gambacorta, L. (2008). How do banks set interest rates? European Economic Review, 52(5), 792–819.

    Google Scholar 

  • Glass, J. C., McKillop, D. G., & Rasaratnam, S. (2010). Irish credit unions: Investigating performance determinants and the opportunity cost of regulatory compliance. Journal of Banking & Finance, 34(1), 67–76.

    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.

    Google Scholar 

  • Joo, S. J., Stoeberl, P. A., Liao, K., & Ke, K. (2017). Measuring the comparative performance of branches of a credit union for internal benchmarking. Benchmarking: An International Journal, 24(6), 1663–1674.

    Google Scholar 

  • Kao, C. (2014). Network data envelopment analysis: A review. European Journal of Operational Research, 239(1), 1–16.

    Google Scholar 

  • Kao, C. (2017). Network data envelopment analysis (Vol. 10, p. 978-3)., International series in operations research & management science Boston: Springer.

    Google Scholar 

  • Leclerc, A., & Fortin, M. (2009). Économies d’échelle et de gamme dans les coopératives de services financiers: une approche non paramétrique (DEA). L’Actualité économique, 85(3), 263–282.

    Google Scholar 

  • Martínez-Campillo, A., & Fernández-Santos, Y. (2017). What about the social efficiency in credit cooperatives? Evidence from Spain (2008–2014). Social Indicators Research, 131(2), 607–629.

    Google Scholar 

  • Martínez-Campillo, A., Fernández-Santos, Y., & del Pilar Sierra-Fernández, M. (2018). How well have social economy financial institutions performed during the crisis period? Exploring financial and social efficiency in Spanish credit unions. Journal of Business Ethics, 151(2), 319–336.

    Google Scholar 

  • Marwa, N., & Aziakpono, M. (2016). Technical and scale efficiency of Tanzanian saving and credit cooperatives. The Journal of Developing Areas, 50(1), 29–46.

    Google Scholar 

  • McAlevey, L., Sibbald, A., & Tripe, D. (2010). New Zealand credit union mergers. Annals of Public and Cooperative Economics, 81(3), 423–444.

    Google Scholar 

  • McKillop, D., French, D., Quinn, B., Sobiech, A. L., & Wilson, J. O. S. (2020). Cooperative financial institutions: A review of the literature. Centre for responsible banking & finance working paper, (20-0X).

  • McKillop, D., & Wilson, J. O. (2011). Credit unions: A theoretical and empirical overview. Financial Markets, Institutions & Instruments, 20(3), 79–123.

    Google Scholar 

  • Murdock, C. W. (2011). The Dodd-Frank Wall Street reform and consumer protection act: What caused the financial crisis and will Dodd-Frank prevent future crises. SMUL Review, 64, 1243.

    Google Scholar 

  • Paradi, J. C., Sherman, H. D., & Tam, F. K. (2017). Data envelopment analysis in the financial services industry: A guide for practitioners and analysts working in operations research using DEA (Vol. 266). Berlin: Springer.

    Google Scholar 

  • Pille, P., & Paradi, J. C. (2002). Financial performance analysis of Ontario (Canada) credit unions: An application of DEA in the regulatory environment. European Journal of Operational Research, 139(2), 339–350.

    Google Scholar 

  • Ralston, D., Wright, A., & Garden, K. (2001). Can mergers ensure the survival of credit unions in the third millennium? Journal of Banking & Finance, 25(12), 2277–2304.

    Google Scholar 

  • Sarkis, J. (2007). Preparing your data for DEA. In J. Zhu & W. D. Cook (Eds.), Modeling data irregularities and structural complexities in data envelopment analysis. Boston: Springer.

    Google Scholar 

  • Sharma, D., Sharma, A. K., & Barua, M. K. (2013). Efficiency and productivity of banking sector: A critical analysis of literature and design of conceptual model. Qualitative Research in Financial Markets, 5(2), 195–224.

    Google Scholar 

  • Simar, L., & Wilson, P. W. (1998). Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models. Management Science, 44(1), 49–61.

    Google Scholar 

  • Simar, L., & Wilson, P. W. (2000). Statistical inference in nonparametric frontier models: The state of the art. Journal of Productivity Analysis, 13(1), 49–78.

    Google Scholar 

  • Simar, L., & Wilson, P. W. (2011). Two-stage DEA: Caveat emptor. Journal of Productivity Analysis, 36, 205–218. https://doi.org/10.1007/s11123-011-0230-6.

    Article  Google Scholar 

  • Simeone, W. J., & Li, H. C. (1997). Credit union performance: An evaluation of Rhode Island institutions. American Business Review, 15(1), 99–105.

    Google Scholar 

  • Sousa de Abreu, E., Kimura, H., Araújo Neto, L. M. D., & Peng, Y. (2018). Efficiency of the Brazilian credit unions: A joint evaluation of economic and social goals. Latin American Business Review, 19(2), 107–129.

    Google Scholar 

  • Toma, P., Miglietta, P. P., Zurlini, G., Valente, D., & Petrosillo, I. (2017). A non-parametric bootstrap-data envelopment analysis approach for environmental policy planning and management of agricultural efficiency in EU countries. Ecological Indicators, 83(1), 132–143.

    Google Scholar 

  • Tsionas, E. G., & Mamatzakis, E. C. (2017). Adjustment costs in the technical efficiency: An application to global banking. European Journal of Operational Research, 256(2), 640–649.

    Google Scholar 

  • Wamba, S. F., Gunasekaran, A., Dubey, R., & Ngai, E. W. (2018). Big data analytics in operations and supply chain management. Annals of Operations Research, 270(1–2), 1–4.

    Google Scholar 

  • Wang, K., Huang, W., Wu, J., & Liu, Y. N. (2014a). Efficiency measures of the Chinese commercial banking system using an additive two-stage DEA. Omega, 44(1), 5–20.

    Google Scholar 

  • Wang, W. K., Lu, W. M., & Liu, P. Y. (2014b). A fuzzy multi-objective two-stage DEA model for evaluating the performance of US bank holding companies. Expert Systems with Applications, 41(9), 4290–4297.

    Google Scholar 

  • Worthington, A. C. (2001). Efficiency in pre-merger and post-merger non-bank financial institutions. Managerial and Decision Economics, 22(8), 439–452.

    Google Scholar 

  • Zéghal, D., & El Aoun, M. (2016). Enterprise risk management in the US banking sector following the financial crisis. Modern Economy, 7(4), 494–513.

    Google Scholar 

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Dia, M., Takouda, P.M. & Golmohammadi, A. Assessing the performance of Canadian credit unions using a three-stage network bootstrap DEA. Ann Oper Res 311, 641–673 (2022). https://doi.org/10.1007/s10479-020-03612-w

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