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DEA/AR efficiency and profitability of Mexican banks. A total income model. (English) Zbl 0953.90539
Summary: Data Envelopment Analysis (DEA) and Linked-Cone Assurance Region (LC-AR) models are used in this paper to investigates the efficiency and profitability potential of Mexican banks as they engage in activities that incur interest and non-interest expenses and produce income. DEA provides a measure of each bank’s relation to the best-practice frontier for its competitors. This can provide a better quality-benchmark than using industry averages or a particular peer bank as the benchmark. The banks are classified into efficient and inefficient sets. Multiplier values for AR-inefficient banks with unique slacks indicate the potential for management to improve the bank’s performance relative to its peers. LC-ARs that provide economically reasonable bounds for the multipliers lead to profitability potential, as distinct from efficiency, results.

MSC:
90B50 Management decision making, including multiple objectives
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[1] Aly, H.Y.; Grabowski, R.; Pasurka, C.; Rangan, N., Technical, scale and allocative efficiencies in U.S. banking: an empirical investigation, Review of economics and statistics, 72, 211-218, (1990)
[2] Banker, R.D.; Charnes, A.; Cooper, W.W., Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management science, 30, 1078-1092, (1984) · Zbl 0552.90055
[3] Banker, R.D.; Thrall, R.M., Estimation of returns to scale using data envelopment analysis, European journal of operational research, 62, 74-84, (1992) · Zbl 0760.90001
[4] Bauer, P.B.; Berger, A.N.; Humphrey, D.B., Efficiency and productivity growth in U.S. banking, (), 376-414
[5] Berg, S.A.; Forsund, F.R.; Jansen, E.S., Technical efficiency of Norwegian banks: the non-parametric approach to efficiency measurement, Journal of productivity analysis, 2, 127-142, (1991)
[6] Berg, S.A.; Forsund, F.R.; Hjalmarsson, L.; Suominen, M., Banking efficiency in the nordic countries, Journal of banking and finance, 17, 371-388, (1993)
[7] Berger, A.N.; Humphrey, D.B., Measurement and efficiency issues in commercial banking, (), 245-279
[8] Berger, A.N.; Humphrey, D.B., Efficiency of financial institutions: international survey and directions for future research, European journal of operational research, 98, 175-212, (1997), (this issue) · Zbl 0923.90018
[9] Berger, A.N.; Hancock, D.; Humphrey, D.B., Bank efficiency derived from the profit function, Journal of banking and finance, 17, 331-348, (1993)
[10] Castelló, J.; Gilly-Craig, M., Mexican financial groups, (1992), Baring Securities Mexico City
[11] Charnes, A.; Cooper, W.W.; Rhodes, E., Measuring the efficiency of decision making units, European journal of operational research, 2, 429-444, (1978) · Zbl 0416.90080
[12] Charnes, A.; Cooper, W.W.; Rhodes, E., Short communication: measuring the efficiency of decision making units, European journal of operational research, 3, 339, (1979) · Zbl 0425.90086
[13] Charnes, A.; Clark, C.T.; Cooper, W.W.; Sherman, H.D., A development study of data envelopment analysis in measuring the efficiency of maintenance units in the U.S. air force, Annals of operations research, 2, 95-112, (1985)
[14] Charnes, A.; Cooper, W.W.; Huang, Z.M.; Sun, D.B., Polyhedral cone-ratio DEA models with an illustrative application to large commercial banks, Journal of econometrics, 46, 73-91, (1990), Oct.-Nov. · Zbl 0712.90015
[15] Charnes, A.; Cooper, W.W.; Thrall, R.M., A structure for classifying and characterizing efficiencies and inefficiencies in data envelopment analysis, Operations research letters, 5, 105-110, (1986) · Zbl 0605.90082
[16] Charnes, A.; Cooper, W.W.; Thrall, R.M., A structure for classifying and characterizing efficiencies and inefficiencies in data envelopment analysis, Journal of productivity analysis, 2, 197-237, (1991)
[17] Cooper, W.W.; Pastor, J.T., Global efficiency measurement in DEA, ()
[18] Doukas, J.; Switzer, L.N., Economies of scale and scope in Canadian branch banking, Journal of international financial markets, institutions and money, 1, 61-84, (1991)
[19] Elyasiani, E.; Mehdian, S.M., Efficiency in commercial banking industry, a production frontier approach, Applied economics, 22, 1-13, (1990)
[20] Elyasiani, E.; Mehdian, S.M., A non-parametric approach to measurement of efficiency and technological change: the case of large U.S. commercial banks, Journal of financial services research, 4, 157-168, (1990)
[21] English, M.; Grosskopf, S.; Hayes, K.; Yaisawarng, S., Output allocative and technical efficiency of the financial services sector, Journal of banking and finance, 17, 349-366, (1993)
[22] Färe, R.; Primont, D., Measuring efficiency in branch banking: an activity analysis approach, Journal of banking and finance, 17, 539-544, (1993)
[23] Farrell, M.J., The measurement of productive efficiency, Journal of royal statistical society A, 120, 251-281, (1957)
[24] Ferrier, G.D.; Lovell, C.A.K., Measuring cost efficiency in banking: econometric and linear programming evidence, Journal of econometrics, 46, 229-245, (1990)
[25] Koopmans, T.C., Efficient allocation of resources, Econometrica, 19, 455-465, (1951)
[26] Natella, S.; Manson, J., The Mexican banking system, (1991), CS First Boston London and New York
[27] Nelson, R.W., Branching, scale economies and banking costs, Journal of banking and finance, 9, 177-191, (1985)
[28] Oral, M.; Yolalan, R., An empirical study on measuring operating efficiency and profitability of bank branches, European journal of operational research, 46, 282-294, (1990)
[29] Schaffnit, C.; Rosen, D.; Paradi, J.C., Best practice analysis of bank branches: an application of DEA in a large Canadian bank, European journal of operational research, 98, 270-290, (1997), (this issue) · Zbl 0930.91028
[30] Seiford, L.H., A bibliography of data envelopment analysis 1978-1990, ()
[31] Seiford, L.H.; Thrall, R.M., Recent developments in DEA: the mathematical programming approach, Journal of econometrics, 46, 7-38, (1990), Oct.-Nov. · Zbl 0716.90015
[32] Sherman, H.D.; Gold, F., Bank branch operating efficiency: evaluation with data envelopment analysis, Journal of banking and finance, 9, 297-315, (1985)
[33] Sexton, T.R.; Silkman, R.H.; Hogan, A.J., Data envelopment analysis: critique and extensions, ()
[34] Sun, D.B., Evaluation of managerial performance of large commercial banks by data envelopment analysis, (1989), University of Texas, Unpublished Ph.D. Dissertation
[35] Thompson, R.G.; Dharmapala, P.S.; Humphrey, D.B.; Thrall, R.M., DEA/AR efficiency of the Nation’s 100 largest banks, () · Zbl 0867.90004
[36] Thompson, R.G.; Dharmapala, P.S.; Humphrey, D.B.; Thrall, R.M., DEA/AR efficiency and profitability of the Nation’s 100 largest banks in 1984, ()
[37] Thompson, R.G.; Dharmapala, P.S.; Humphrey, D.B.; Taylor, W.M.; Thrall, R.M., Computing DEA/AR efficiency and profit ratio measures with an illustrative bank application, The annals of operations research, 68, (1996) · Zbl 0867.90004
[38] Thompson, R.G.; Thrall, R.M., Polyhedral assurance regions with linked constraints, (), 4 · Zbl 0870.90008
[39] Thompson, R.G.; Langemeier, L.; Lee, C-T.; Lee, E.; Thrall, R.M., The role of multiplier bounds in efficiency analysis with an application to kansas farming, Journal of econometrics, 46, 93-108, (1990)
[40] Thrall, R.M., Duality, classification and slacks in DEA, () · Zbl 0868.90003
[41] Vassiloglou, M.; Giokas, D., A study of the relative efficiency of bank branches: an application of data envelopment analysis, Journal of the operational research society, 41, 591-597, (1990)
[42] Wykoff, F.C., Comment on ‘measurement and efficiency in banking,’ by A.N. berger and D.B. humphrey, (), 279-287
[43] Zardkoohi, A.; Kolari, J., Branch office economies of scale and scope: evidence for savings banks in Finland, Journal of banking and finance, 18, 421-432, (1994)
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