Acta Univ. Agric. Silvic. Mendelianae Brun. 2015, 63(6), 1847-1858 | DOI: 10.11118/actaun201563061847

A Slacks-based Measure DEA Methodology for Identification of Returns to Scale in the Slovak Banking Sector

Martin Boļa
Department of Quantitative Methods and Information Systems, Faculty of Economics, Matej Bel University in Banskį Bystrica, Nįrodnį 12, 974 01 Banskį Bystrica, Slovak Republic

Taking into consideration that knowing the nature of scale of operations is important both to size optimization and to technical efficiency measurement, the paper aims to identify for individual commercial banks of the Slovak banking sector the scale of their operations as exhibited by their production activities during the period from 2000 and 2012. To this end, the DEA procedure of Tone and Sahoo utilizing the concept of the degree of scale elasticity is enhanced and combined with the framework of the SBM model. The analysis of scale is conducted for the major 11 Slovak commercial banks under the prism of the production approach to banking operations, in which the economic assumption that three solid phases can be singled out in the development of the Slovak banking sector is made. The results confirm that the largest Slovak commercial banks were in the investigated period already "too large" so as to gain potentially some benefit from expanding their depository and creditory services by increasing their inputs.

Keywords: returns to scale, degree of scale elasticity, SBM model, production approach, Slovak banking sector
Grants and funding:

The paper is prepared under the aegis of the grant scheme VEGA No. 1/0757/15 Augmentation of the theoretical construct of the SCP paradigm and of the efficient structure hypothesis in banking and insurance by the aspect of risk and their empirical validation in the conditions of the Slovak Republic and under the project ITMS 26110230082 Mobility - Support of Science, Research and Education at Matej Bel University in Banskį Bystrica (Mobility - podpora vedy, vżskumu a vzdelįvania na UMB) within the bounds of financial subsidy contract No. 018/2012/1.2/OPV.

Prepublished online: December 26, 2015; Published: January 1, 2016  Show citation

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Boļa, M. (2015). A Slacks-based Measure DEA Methodology for Identification of Returns to Scale in the Slovak Banking Sector. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis63(6), 1847-1858. doi: 10.11118/actaun201563061847
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References

  1. BANKER, R. D. 1984. Estimating most productive scale size using data envelopment analysis. European Journal of Operational Research, 17(1): 35-44. DOI: 10.1016/0377-2217(84)90006-7 Go to original source...
  2. DEBREU, G. 1959. Theory of value: an axiomatic analysis of economic equilibrium. New Haven and London: Yale University Press.
  3. COOPER, W. W., SEIFORD, L. M. and TONE, K. 2007. Data envelopment analysis: a comprehensive text with models, applications, references and DEA-Solver software. 2nd edition. New York: Springer. Go to original source...
  4. FRISCH, R. 1965. Theory of production. Dordrecht-Holland & Chicago: D. Reidel Publishing & Rand McNall.
  5. HEFFERNAN, S. 2005. Modern banking. 2nd edition. Wiley: Chichester.
  6. KOČI©OVĮ, K. 2012. Application of DEA models at the analysis of bank branches technical efficiency. Ekonomickż časopis, 60(2): 169-186.
  7. KOOPMANS, T. C. 1951. An analysis of production as an efficient combination of activities. In: KOOPMANS, T. C. (ed.), Activity analysis of production and allocation. London: Wiley, 33-97.
  8. McFADDEN, D. 1978. Cost, revenue and profit functions. In: FUSS, M., McFADDEN, D. (eds.), Production economics: a dual approach to theory and applications. Volume I: the theory of production. Amsterdam: North-Holland, 1978, 3-109.
  9. R CORE TEAM. 2013. R: a language and environment for statistical computing. Vienna: R Foundation for Statistical Computing.
  10. SAHOO, B. K., MOHAPATRA, P. K. J. and TRIVEDI, M. L. 1999. A comparative application of data envelopment analysis and frontier translog production function for estimating returns to scale and efficiencies. International Journal of Systems Science, 30(4): 379-394. DOI: 10.1080/002077299292335 Go to original source...
  11. STAVĮREK, D. 2006. Banking efficiency in the context of European integration. Eastern European Economics, 44(4): 5-31. DOI: 10.2753/EEE0012-8775440401 Go to original source...
  12. ©EVČOVIČ, D., HALICKĮ, M. and BRUNOVSKŻ, P. 2001. DEA analysis for a large structured bank branch network. Central European Journal of Operations Research, 9(4): 329-342.
  13. TAKAYAMA, A. 1993. Analytical methods in economics. Ann Arbor: The University of Michigan Press. Go to original source...
  14. TONE, K. 2001. A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research, 130(3): 498-509. DOI: 10.1016/S0377-2217(99)00407-5 Go to original source...
  15. TONE, K. and SAHOO, B. K. 2003. Scale, indivisibilities and production function in data envelopment analysis. International Journal of Production Economics, 84(2): 165-192. DOI: 10.1016/S0925-5273(02)00412-7 Go to original source...
  16. TONE, K. and SAHOO, B. K. 2004. Degree of scale economies and congestion: a unified DEA approach. European Journal of Operational Research, 158(3): 755-772. DOI: 10.1016/S0377-2217(03)00370-9 Go to original source...
  17. ZIMKOVĮ, E. 2014. Technical efficiency and super-efficiency of the banking sector in Slovakia. Procedia Economics and Finance, 12(2014): 780-787. DOI: 10.1016/S2212-5671(14)00405-5 Go to original source...
  18. ZIMKOVĮ, E. 2015. Cost efficiency of Slovak commercial banks under the standpoint of the intermediation approach. In: Conference Proceedings 18th Applications of Mathematics and Statistics in Economics. Jindųichłv Hradec, 2-6 September 2015, Praha: University of Economics in Prague, Oeconomica. [Online]. Available at: http://amse2015.cz/proceedings. [Accessed 2015, October 1].

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