Paraná’s Credit Unions: an analysis of their efficiency and productivity change
Cooperativas de Crédito de Paraná: un análisis de su eficiencia y cambio de productividad
DOI:
https://doi.org/10.15446/ing.investig.v38n3.68892Keywords:
DEA, Malmquist Index, PCA, Credit Unions (en)DEA, Índice de Malmquist, PCA, Cooperativas de Crédito (es)
The aim of this paper is to evaluate the efficiency and productivity change of Paraná’s Credit Union. The analysis considered 45 units (each credit union researched), each of one with 10 variables in each period (8 inputs and 2 outputs). This evaluation has taken into account quarterly credit union’s data, from January 2009 to July 2015 (27 periods). The methodology included Data Envelopment Analysis (DEA), Principal Components Analysis (PCA) and Malmquist Index (MI) techniques. The results showed that DMUs 453, 498 and 517 were considered 100% efficient in all periods, making them ideal benchmarks. There was no case that a DMU was not considered 100% efficient in at least one observation. The MI showed that the difference between the biggest and the smallest average was significant (varying between 19.837 for DMU 251 and 0.926 for DMU 450). The average between all MI was 4,735 with a standard deviation of 3,547, evidencing the different measures of efficiency between each DMU when compared to the others.
El objetivo de este trabajo es evaluar la eficiencia y el cambio de productividad de las Cooperativas de Crédito de Paraná. El análisis consideró 45 unidades (cada cooperativa estudiada), cada una con 10 variables en cada período (8 inputs y 2 outputs). Esta evaluación ha tenido en cuenta los datos de la cooperativa de crédito trimestral, de enero de 2009 a julio de 2015 (27 períodos). La metodología incluía Análisis de Envoltura de Datos (DEA), Análisis de Componentes Principales (PCA) y Índice de Malmquist (MI). Los resultados mostraron que las DMUs 453, 498 y 517 se consideraron 100% eficientes en todos los períodos, considerando como puntos de referencia. No hubo casos en que una DMU no se considerara 100% eficiente en al menos una observación. El MI mostró que la diferencia entre el mayor y el menor promedio fue significativa (variando entre 19.837 para DMU 251 y 0.926 para DMU 450). El promedio entre todos los MI fue 4,735 con una desviación estándar de 3,547, evidenciando las diferentes medidas de eficiencia entre cada DMU en comparación con las otras.
Downloads
References
Amersdorffer, F., Buchenrieder, G.; Bokusheva, R. & Wolz, A. (2015). Efficiency in microfinance: financial and social performance of agricultural credit cooperatives in Bulgaria. Journal of the Operational Research Society, 66(1), 57-65. https://doi.org/10.1057/jors.2013.162
BACEN. (2018, January). Cooperativas de Crédito. Retrieved from https://www.bcb.gov.br/Pre/bc_atende/port/coop.asp
Banker, R. D., Charnes, A. & Cooper, W. W. (1984). Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis. Management Science, 30(9), 1078-1092. https://doi.org/10.1287/mnsc.30.9.1078
Barrientos, A. & Boussofiane, A. (2005). How Efficient are pension fund managers in Chile? Revista de Economia Contemporânea, 9(2), 289-311. http://dx.doi.org/10.1590/ S1415-98482005000200003
Beaver, W. H. (1966). Financial ratios as predictors of failure. Journal of Accounting Research, 4, 71-111. https://doi. org/10.2307/2490171
Bharti, N. & Chitnis, A. (2016). Size and efficiency of MFIs: a data envelopment analysis of Indian MFIs. Enterprise Development and Finance, 27(4), 255-271. https://doi. org/10.3362/1755-1986.2016.017
Bijos, L. (2004). A trajetória dos programas de microcrédito: Brasil/Canadá. Revista Interfaces Brasil/Canadá, 4(1), 157-178. HTTP://DX.DOI.ORG/10.15210/INTERFACES. V4I1.6481
Bitar, M., Madiès, P. & Taramasco, O. (2017). What makes Islamic banks different? A multivariate approach. Economic Systems, 41(2), 215-235. https://doi.org/10.1016/j. ecosys.2016.06.003
Boussofiane, A., Dyson, R. G. & Thanassoulis, E. (1991). Applied Data Envelopment Analysis. European Journal of Operational Research, 52(1), 1-15. https://doi. org/10.1016/0377-2217(91)90331-O
Bowlin, W. F. (1998). Measuring Performance: An Introduction to Data Envelopment Analysis (DEA). The Journal of Cost Analysis, 7(2), 3-27. https://doi.org/10.1080/08823871.19 98.10462318
Braga, M. J., Bressan, V. G. F., Colosimo, E. A. & Bressan, A. A. (2006). Investigating the solvency of Brazilian credit unions using a proportional hazard model. Annals of Public and Cooperative Economics, 77(1), 83-106. https:// doi.org/10.1111/j.1370-4788.2006.00298.x
Bressan, V. G. F. & Braga, M. J. (2006). Perfil das Cooperativas de Crédito Mútuo do Estado de Minas Gerais. Revista de Economia e Agronegócio, 4(4), 511-532. https://doi. org/10.25070/rea.v4i4.93
Bressan, V. G. F., Bressan, A. A., Oliveira, P. H. M. & Braga, M. J. (2014). Quais Indicadores Contábeis Financeiros do Sistema PEARLS são Relevantes para Análise de Insolvência das Cooperativas Centrais de Crédito no Brasil? Revista Contabilidade Vista & Revista, 25(1), 74- 98. Retrieved from http://revistas.face.ufmg.br/index.php/ contabilidadevistaerevista/article/view/2345/pdf_73
Bruce Ho, C. T. & Dash Wu, D. S. (2009). Online banking performance evaluation using Data Envelopment Analysis and Principal Component Analysis. Computers & Operations research, 36(6), 1835-1842. https://doi. org/10.1016/j.cor.2008.05.008
Camacho, J., Pico, J. & Ferrer, A. (2010). Data understanding with PCA: Structural and Variance Information plots. Chemometrics and Intelligent Laboratory Systems, 100(1), 48–56. https://doi.org/10.1016/j.chemolab.2009.10.005
Carvalho, F. L. de, Diaz, M. D. M., Neto, S. B., Kalatzis, A. E. G. (2015). Exit and Failure of Credit Unions in Brazil: A Risk Analysis. Revista Contabilidade & Finanças, 26(67), 70-84. http://dx.doi.org/10.1590/1808-057x201411390
Caves, D. W., Christensen, L. R. & Diewert, W. E. (1982). Multilateral comparisons of output, input, and productivity using superlative index numbers. The Economic Journal, 92(365), 73-86. https://doi. org/10.2307/2232257
Ceretta, P. S. & Niederauer, C. A. P. (2001). Rentabilidade e eficiência no setor bancário brasileiro. Revista de Administração Contemporânea, 5(3), 07-26. http://dx.doi. org/10.1590/S1415-65552001000300002
Charnes, A., Clark, C. T., Cooper W. W. & Golany, B. A. (1985). Developmental Study of Data Envelopment Analysis. Annals of Operations Research, 2, 95–112. Retrieved from https:// link.springer.com/content/pdf/10.1007/BF01874734.pdf
Curi, C., Daraio, C. & Llerena, P. (2012). University technology transfer: how (in)efficient are French Universities? Cambridge Journal of Economics, 36(3), 629-654. https:// doi.org/10.1093/cje/bes020
Da Silva, T. P. da, Leite, M., Guse, J. C. & Gollo, V. (2017). Financial and economic performance of major Brazilian credit cooperatives. Contaduría y Administración, 62(5), 1442-1459. https://doi.org/10.1016/j.cya.2017.05.006
Diewert, E. W. & Fox, K. J. (2017). Decomposing productivity indexes into explanatory factors. European Journal of Operational Research, 256, 275–291. https://doi. org/10.1016/j.ejor.2016.05.043
Dong, F., Mitchell, P. D. & Colquhoun, J. (2015). Measuring farm sustainability using data envelope analysis with principal components: The case of Wisconsin cranberry. Journal of Environmental Management, 147, 175-183. Dhttps://doi.org/10.1016/j.jenvman.2014.08.025
Dong, F., Mitchell, P. D., Knuteson, D., Wyman, J., Bussan, A. J. & Conley, S. (2016). Assessing sustainability and improvements in US Midwestern soybean production systems using a PCA–DEA approach. Renewable Agriculture and Food Systems, 31(6), 524-539. https://doi. org/10.1017/S1742170515000460
Donthu, A. N., Hershbergerb, E. K. & Osmonbekov, T. (2005). Benchmarking marketing productivity using Data Envelopment Analysis. Journal of Business Research, 58(11), 1474-1482. https://doi.org/10.1016/j.jbusres.2004.05.007
Dyson, R. G., Allen, R., Camacho, A. S., Podinovski, V. V., Sarrico, C. S. & Shale, E. A. (2001). Pitfalls and Protocols in DEA. European Journal of Operational Research, 132(2), 245-259. https://doi.org/10.1016/S0377-2217(00)00149-1
Eken, M. H. & Kale, S. (2011). Measuring Bank Branch Performance Using Data Envelopment Analysis (DEA): The case of Turkish bank branches. African Journal of Business Management, 5, 889-901. https://doi.org/10.5897/ AJBM10.584
Färe, R., Grosskopf, S. & Pasurka, C. (2001). Accounting for air pollution emissions in measuring state manufacturing productivity growth. Journal of Regional Science, 41, 381– 409. https://doi.org/10.1111/0022-4146.00223
Fernandez, C., Koop, B. G. & Steel, M. F. J. (2005). Alternative Efficiency Measures for Multiple-Output Production. Journal of Econometrics, 126(2), 411-444. https://doi. org/10.1016/j.jeconom.2004.05.008
Giokas, D. I. (2008). Assessing the efficiency in operations of a large Greek bank Branch network adopting different economic behaviors. Economic Modelling, 25(3), 559-574. https://doi.org/10.1016/j.econmod.2007.10.007
Golany, B. & Roll, Y (1989). An Application Procedure for DEA. Omega, 17(3), 237-250. https://doi.org/10.1016/0305- 0483(89)90029-7
Gonçalves, A. C., Noronha, C. P., Lins, M. P. E. & Almeida, R. M. V. R. (2007). Análise Envoltória de Dados na avaliação de hospitais públicos nas capitais brasileiras. Revista de Saúde Pública, 41(3), 427-435. http://dx.doi.org/10.1590/ S0034-89102006005000023.
Haugland, S. A., Myrtveit, I. & Nygaard, A. (2007). Market orientation and performance in the service industry: A Data Envelopment Analysis. Journal of Business Research, 60(11), 1191-1197. https://doi.org/10.1016/j.jbusres.2007.03.005
Helfand, S. M. & Levine, E. S. (2004). Farm size and the determinants of productive efficiency in the Brazilian Center-West. Agricultural Economics, 31(2-3), 241-249. https://doi.org/10.1016/j.agecon.2004.09.021
Holod, D. & Lewis, H. F. (2011). Resolving the deposit dilemma: a new DEA bank efficiency model. Journal of Banking and Finance, 35, 2801–2810. https://doi. org/10.1016/j.jbankfin.2011.03.007
Jacques, E. R. & Gonçalves, F. de O. (2016). Cooperativas de crédito no Brasil: evolução e impacto sobre a renda dos municípios brasileiros. Economia e Sociedade, 25(2), 489- 509. http://dx.doi.org/10.1590/1982-3533.2016v25n2art8
Liu, J. S., Lu, L. Y. Y. & Lu, W. (2016). Research fronts in data envelopment analysis. Omega, 58, 33-45. https://doi. org/10.1016/j.omega.2015.04.004
Machado, L. G., de Mello, J. C. C. B. S. & Roboredo, M. C. (2016). Efficiency Evaluation of Brazilian Electrical Distributors Using Data Envelopment Analysis Game and Cluster Analysis. IEEE Latin America Transactions, 14(11), 4499–4505. https://doi.org/10.1109/TLA.2016.7795820
Mahdiloo, M., Noorizadeh, A. & Saen, F. R. (2011). Developing a new data envelopment analysis model for customer value analysis. Journal of Industrial Management and Optimization, 7(3), 531–558. https://doi.org/10.1109/ TLA.2016.7795820
Marinho, A., Cardoso S. de S. &de Almeida, V. (2012). Avaliação Comparativa de Sistemas de Saúde com a Utilização de Fronteiras Estocásticas: Brasil e OCDE. Revista Brasileira de Economia, 66(1), 3-19. http://dx.doi. org/10.1590/S0034-71402012000100001
Martín, E., Bachiller, A. & Bachiller, P. (2018). The Restructuring of the Spanish banking system: analysis of the efficiency of financial entities. Management Decision, 56(2), 474-487. https://doi.org/10.1108/MD-04-2017-0292
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. https://doi.org/10.1007/ s11205-016-1277-6
Moreno, P., Andrade, G. N., Angulo, L. & de Mello, J. C. C. B. S. (2015). Evaluation of Brazilian Electricity Distributors Using a Network DEA Model with Shared Input. IEEE Latin America Transactions, 13(7), 2209–2216. https://doi. org/10.1109/TLA.2015.7273779
Nunes, A. O., Silva, T. E. V., Mota, J. C. M., Almeida, A. L. F., & Andriola, W. B. (2015). Validation of the academic management evaluation instrument based on principal component analysis for engineering and technological courses. Ingeniería e Investigación, 35(2), 97-102. http:// dx.doi.org/10.15446/ing.investig.v35n2.47369
OCEPAR. (2016, August). O Cooperativismo no Paraná e o Sistema OCEPAR. Retrieved from: http://www. paranacooperativo.coop.br/ppc/index.php/sistema-OCEP AR/2011-12-05-11-29-42/2011-12-05-11-42-54
Pastor, J. T. & Lovell, C. A. K. (2005). A global Malmquist productivity index. Economics Letters, 88(2), 266–271. https://doi.org/10.1016/j.econlet.2005.02.013
Pavanelli, A. M., Pavanelli, G., Steiner, M. T. A., Costa, D. M. B.& Gusmão, B. G. (2011). Técnicas De Reconhecimento De Padrões Aplicadas À Justiça Do Trabalho. Revista Eletrônica Pesquisa Operacional para o Desenvolvimento, 3(2), 90–106. Retrieved from http://www.podesenvolvimento.org.br/inicio/index. volvimento&page=article&op=view&path%5B%5D=140
Pinheiro, M. A. H. (2008). Cooperativas de Crédito: História da evolução normativa no Brasil (Vol. 6). BCB.
Pulido, C., Solaque, L., & Velasco, N. (2017). Weed recognition by SVM texture feature classification in outdoor vegetable crop images. Ingeniería e Investigación, 37(1), 68-74. DOI: 10.15446/ing.investig.v37n1.54703
Shokrollahpour, E., Lofti, F. H. & Zandieh, M. (2016). An integrated data envelopment analysis–artificial neural network approach for benchmarking of bank branches. Journal of Industrial Engineering International, 12(2), 137- 143. https://doi.org/10.1007/s40092-015-0125-7
Unsal, G. M. & Orkcu, H. H. (2016). Ranking Decision Making Units with the Integration of the Multi- Dimensional Scaling Algorithm into PCA-DEA. Hacettepe Journal of Mathematics and Statistics, in press. https://doi. org/10.15672/HJMS.201611015485
Xing, S. (2014). Agricultural Credit Institution Efficiency Evaluation Research Based on Data Envelopment Analisys. The Open Cybernetics & Systemics Journal, 8, 535-539. https://doi.org/10.2174/1874110X01408010535
License
Copyright (c) 2018 Luis Guilherme Ribeiro Martins, Maria Teresinha Arns Steiner, Volmir Eugênio Wilhelm, Pedro José Steiner Neto, Bruno Samways dos Santos

This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.










