This paper presents a review of the extensive literature concerned with estimating production and cost inefficiencies in banks. The meaning of inefficiency in this context is outlined, alternative estimation techniques are summarised and the problems of modelling the activities of banks and measuring their inputs and outputs are discussed. By including more non-US studies than previous surveys, the paper produces a more comprehensive summary and comparison of inefficiency results than has previously been attempted. The paper ends with a set of recommendations for future researchers in the area.
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References
1.
QAignerD.J.ChuS.F. (1968). “On estimating the industry production function”The American Economic Review, 58, 226–39.
2.
AignerD.Knox LovellC.A.SchmidtP. (1977). “Formulation and estimation of stochastic frontier production function models”Journal of Econometrics, 6, 21–37.
3.
AlhadeffD.A. (1954). Monopoly and Competition in Banking, University of California Press.
4.
AllenL.RaiA. (1996). “Operational efficiency in banking: An international comparison”Journal of Banking and Finance, 20, 655–672.
5.
AltunbasY.MolyneuxP. (1996). “Economies of scale and scope in European banking”Applied Financial Economics, 6, 367–375.
6.
AliA.LermeC.S.SeifordL.M. (1995). “Components of efficiency evaluation in data envelopment analysis”European Journal of Operational Research, 80, 462–473.
7.
AlyH.GrabowskiR.PaskurkaC.RanganN. (1990). “Technical, scale and allocative efficiencies in U.S. banking”Review of Economics and Statistics, 72, 211–218.
8.
BankerR.D. (1984). “Estimating most productive scale size using data envelopment analysis”European Journal of Operational Research, 17, 35–44.
9.
BankerR.D.CharnesA.CooperW.W.MaindirattaA. (1988). “A comparison of DEA and translog estimates of production frontiers using simulated observations from a known technology” from DogramaciA.FareR. (eds.) Applications of Modern Production Theory: Efficiency and Productivity, Kluwer Academic Publishers, Boston.
10.
BankerR.D.ChangH.CooperW.W. (1996). “Equivalence and implementation of alternative methods for determining returns to scale in data envelopment analysis”European Journal of Operational Research, 89, 473–481.
11.
BaumolW.PanzarJ.C.WilligR.D. (1982). Contestable Markets and Industry Structure, New York, Harcourt Brace Jonanovich Inc.
12.
BellF.MurphyN. (1968). “Economies of scale and division of labor in commercial banking”Southern Economic Journal, 35, October, 131–139.
13.
BenstonG.J. (1965). “Branch banking and economies of scale”The Journal of Finance, 20, May, 312–331.
14.
BenstonG.J. (1972). “Economies of scale in financial institutions”Journal of Money, Credit and Banking, April, 312–41.
15.
BenstonG. (1965). “Branch banking and Economies of scale”National Banking Review, 2, June, 507–49.
16.
BenstonG.HanweckG.HumphreyD.B. (1982). “Scale economies in banking: A restructuring and reassessment”Journal of Money, Credit and Banking, 14, November, 435–456.
17.
BergS.A.ForsundF.R.HjalmarrssonL.SuominenM. (1993). “Banking efficiency in the Nordic countries”Journal of Banking and Finance, 17, 371–388.
18.
BergerA.N.DeYoungR. (1997). “Problem loans and cost efficiency in commercial banks”Journal of Banking and Finance, 21, 849–870.
19.
BergerA.N.HanweckG.A.HumphreyD.B. (1987). “Competative viability in banking: Scale scope and product mix economies”Journal of Monetary Economics, 20, 501–520.
20.
BergerA.N.HumphreyD.B. (1991). “The dominance of inefficiencies over scale and product-mix economies in banking”Journal of Monetary Economics, 28, 117–148.
21.
BergerA.N.HumphreyD.B. (1997). “Efficiency of financial institutions: international survey and directions for future research”European Journal of Operational Research, 98, 175–212.
22.
BergerA.N.HunterW.C.TimmeS.G. (1993). “The efficiency of financial institutions: A review and preview of research past, present, and future”Journal of Banking and Finance, 17, 221–249.
23.
BergerA.N.MesterL.R. (1997). “Inside the black box: What explains differences in the efficiencies of financial institutions?”Journal of Banking and Finance, 21, 895–947.
24.
BerndtE.R.KhaledM.S. (1979). “Parametric productivity measurement and choice among flexible functional forms”Journal of Political Economy, 87, 1220–1245.
25.
BoussofianeA.DysonR.G.ThanassoulisE. (1991). “Applied data envelopment analysis”European Journal of Operational Research, 52, 1–15.
26.
BrownR.S.CavesD.W.ChristensenL.R. (1979). “Modeling the structure of cost and production for multiproduct firms”Southern Economic Review, 46, July, 256–273.
CharnesA.CooperW.W.RhodesE. (1978). “Measuring the efficiency of decision making units”European Journal of Operational Research, 2, 429–444.
29.
CharnesA.CooperW.W.RhodesE. (1981). “Evaluating program and managerial efficiency: an application of data envelopment analysis to program follow through”Management Science, 27(6), June, 668–697.
30.
ChristensenL.R.JorgensonD.W.LauL.J. (1971). “Conjugate duality and the transcendental logarithmic production function”Econometrica, 39, 255–256.
31.
ChristensenL.R.JorgensonD.W.LauL.J. (1973). “Transcendental Logarithmic Production Frontiers”The Review of Economics and Statistics, February, 55, 28–45.
32.
ClarkJ.A. (1984). “Estimation of economies of scale in banking with a generalised functional form”Journal of Money, Credit and Banking, 16, 53–6.
33.
ClarkJ.A. (1988). “Economies of scale and scope at depository financial institutions: A review of the literature”Federal Reserve Bank of Kansas City Economic Review, September/October, 74, 16–33.
34.
CookW.D.KressM.SeifordL.M. (1993). “On the use of ordinal data in data envelopment analysis”Journal of the Operational Research Society, 44(2), 133–140.
35.
DebreuD. (1951). “The coefficient of resource utilization”Econometrica, July, 273–292.
36.
DeYoungR. (1998). “Management Quality and X-Inefficiency in National Banks”Journal of Financial Services Research, 13, 4–22.
37.
DeYoungR.HasanI. (1998). “The performance of de novo commercial banks: A profit efficiency approach”Journal of Banking and Finance, 22, 565–587.
38.
DietschM. (1993). “Economies of scale and scope in French commercial banking industry”The Journal of Productivity Analysis, 4, 35–50.
39.
DiewertW.E. (1971). “An application of the Shephard duality theorem: A generalized Leontief production function”Journal of Political Economy, 79, 481–507.
40.
DiewertW.E. (1973). “Separability and a generalisation of the Cobb-Douglas cost, production and indirect utility functions”Technical Report 80 IMAAA, Stanford University.
41.
DiewertW.E. (1974). “Applications of duality theory” from IntriligatorM.KendrickD., (eds.) Frontiers of Quantitative Economics, 2, North Holland, Amsterdam, 106–171.
42.
EdgarR.J.HatchJ.H.LewisM.K. (1971). “Economies of scale in Australian banking, 1947–68”The Economic Record, 117, 17–37.
43.
ElyasianiE.MehdianS.RezvanianR. (1994). “An empirical test of association between production and financial performance: the case of the commercial banking industry”Applied Financial Economics, 4, 55–59.
44.
ElyasianiE.MehdianS. (1995). “The comparative efficiency performance of small and large US commercial banks in the pre- and post-deregulation eras”Applied Financial Economics, 27, 1069–1079.
45.
EnglishM.GrosskopfS.HayesK.YaisawarngG. (1993). “Output allocative and technical efficiency of banks”Journal of Banking and Finance, 17, 349–366.
46.
EvanoffD.D.IsrailevichP.R. (1991). “Productive efficiency in banking”Federal Reserve Bank of Chicago Economic Perspectives, 15, part 4, 11–32.
47.
EvanoffD.D.IsrailevichP.R. (1994). “Scale elasticity versus scale efficiency in banking”Southern Journal of Economics, 1036–1046.
48.
FareR.GrosskopfS.LovellK.C.A. (1983). “The structure of technical efficiency”Scandinavian Journal of Economics, 85, 181–190.
49.
FareR.GrosskopfS.Knox LovellC.A. (1985). The Measurement of the Efficiency of Production, Kluwer Nijhoft, Boston.
50.
FareR.GrosskopfS. (1994). “Estimation of returns to scale using data envelopment analysis: A comment”European Journal of Operational Research, 79, 379–382.
51.
FareR.LovellK.C.A. (1978). “Measuring the technical efficiency of production”Journal of Economic Theory, 19, 150–162.
52.
FareR.LovellC.A.K.ZeischangK.D. (1983). “Measuring the technical efficiency of multiple output production technologies” from EichhornW.. (eds.) Quantitive Studies on Production and Prices, Physica Verlag, Vienna.
53.
FarrellM.J. (1957). “The measurement of productive efficiency”Journal of the Royal Statistical Society, part III, 120, series A, 253–81
54.
FarrellM.J.FieldhouseM. (1962). “Estimating efficient production functions under increasing returns to scale”Journal of the Royal Statistical Society, series A, part II, 252–67.
55.
FaveroC.A.PapiL. (1995). “Technical efficiency and scale efficiency in the Italian banking sector: a non-parametric approach”Applied Economics, 27, 385–395.
56.
FerrierG.D.LovellC.A.K. (1990). “Measuring cost efficiency in banking: Econometric and linear programming evidence”Journal of Econometrics, 46, 413–426.
57.
FerrierG.D.GrosskopfS.HaynesK.J.YaisawamgG. (1993). “Economies of diversification in the banking industry”Journal of Monetary Economics, 31, 229–245.
58.
FlanneryM.J. (1983). “Correspondent services and cost economies in commercial banking”Journal of Banking and Finance, 7, 83–99.
59.
ForsundF.R.HjalmarssonL. (1979). “Generalised Farrell measures of efficiency: an application to milk processing in Swedish dairy plants”The Economic Journal, 89, June, 294–315.
60.
FukuyamaH. (1993). “Technical and scale efficiency of Japanese commercial banks: a non-parametric approach”Applied Economics, 25, 1101–1112.
61.
GallantA.R. (1981). “On the bias in flexible functional forms and an essentially unbiased form”Journal of Econometrics, 15, 211–245.
62.
GilbertR.A. (1984). “Bank market structure and competition: A survey”Journal of Money, Banking and Credit, 16(4), November, 617–644.
63.
GilliganT.SmirlockM.MarshallW. (1984). “Scale and scope economies in the multi-product banking firm”Journal of Monetary Economics, 13, 393–405.
64.
GlassJ.C.McKillopD.G. (1991). “Efficiency in Irish banking: theory and evidence”, Applied Financial Economics, 1, 235–240.
65.
GlassJ.C.McKillopD.C. (1992). “An empirical analysis of scale and scope economies and technical change in a Irish multiproduct banking firm”Journal of Banking and Finance, 16, 423–437.
66.
GuilkeyD.K.Knox LovellC.A. (1980). “On the Flexibility of the Translog Approximation”International Economic Review, 21, 137–147.
67.
GrabowskiR.RanganN.RezvanianR. (1993). “Organisational forms in banking: An empirical investigation of cost efficiency”Journal of Banking and Finance, 17, 531–538.
GropperD.M. (1991). “An empirical investigation of changes in scale economies for the commercial banking firm 1979–86”Journal of Money, Credit and Banking, 718–727.
70.
HardwickP. (1990). “Multi-product cost attributes: A study of U.K. building societies”Oxford Economic Papers, 42, 446–461.
71.
HorvitzP.M. (1963). “Economies of scale in banking” from Private Financial Institutions Commission on Money and Credit Prentice Hall, Englewood Cliffs.
72.
HumphreyD.B. (1990) “Why do bank scale economies differ?”Federal Reserve Bank of Richmond Economic Review, September/October, 76, 38–50.
73.
HunterW.C.TimmeS.G. (1986). “Technical change, organizational form, and the structure of bank production”Journal of Money, Credit and Banking, 18, May, 152–166.
74.
HunterW.C.TimmeS.G. (1995). “Core deposits and physical capital: A reexamination of bank scale economies and efficiency with quasi- fixed assets”Journal of Money, Credit and Banking, 27(1), February, 165–185.
75.
JagtianiJ.NathanA.SickG. (1995). “Scale economies and cost complementarities in commercial banks: On-and off-balance-sheet activities”Journal of Banking and Finance, 19, 1175–1189.
76.
JagtianiJ.KhanthavitA. (1996). “Scale and scope economies in large banks: Including off-balance sheet products and regulatory effects (1984–1991)”Journal of Banking and Finance, 20, 1271–1287.
77.
JorgensonD.W. (1967). “The theory of investment behaviour” from Determinants of Investment Behaviour (ed.) FerberR., Columbia University Press, New York
78.
KaparakisA.G.MillerS.M.NoulasA.G. (1994). “Short-run cost inefficiency of commercial banks: A flexible stochastic frontier approach”Journal of Money, Credit and Banking, 26, 875–893.
79.
KarafolasS.MantakasG. (1996). “A note on cost structure and economics of scale in Greek banking”Journal of Banking and Finance, 20, 377–387.
80.
KhaledM.AdamsM.PickfordM. (1995). “A study of economies of scale and scope in New Zealand life insurance companies”Life Office of New Zealand Research Report.
81.
KilbrideB.J.McDonaldB.MillerR.E. (1986). “A reexamination of economies of scale in banking using a generalised functional form”Journal of Money, Credit and Banking, 18, 519–526.
82.
KimM.WeissJ. (1989). “Total factor productivity growth in banking: The Israeli banking sector 1979–1982”The Journal of Productivity Analysis, 1, 139–153.
83.
KolariJ.ZardkoohiA. (1990). “Economies of scale and scope in thrift institutions: the case of Finnish cooperative and savings banks”Scandinavian Journal of Economics, 92(3), 437–451.
84.
KoopmansT.C. (1951). Activity Analysis of Production and Allocation: Proceedings of a Conference, John Wiley & Sons, New York.
85.
LangG.WelzelP. (1996). “Efficiency and Technical progress in banking. Empirical results for a panel of German Co-operative banks”Journal of Banking and Finance, 20, 1003–1023.
86.
LawrenceC.ShayR.P. (1987). Technological Innovation, Regulation and the Monetary Economy, Cambridge (USA).
87.
LawrenceC. (1989). “Banking costs, generalized functional forms, and estimation of economies of scale and scope”Journal of Money, Credit and Banking, 21, 368–379.
LongbrakeW.A.HaslemJ.A. (1975). “Productive Efficiency in commercial banking”Journal of Money, Credit and Banking, 317–330.
90.
LuceyB.M. (1993). “Profits, efficiency and Irish banks”Report to Statistical and Social Inquiry Society of Ireland, November.
91.
MaindirattaA. (1990). “Largest size efficient scale and size efficiencies of decision making units in data envelopment analysis”Journal of Econometrics, 46, 57–72.
92.
McAllisterP.H.McManusD. (1993). “Resolving the scale efficient puzzle in banking”Journal of Banking and Finance, 17, 389–405.
93.
McKillopD.G.GlassJ.C.MorikawaY. (1994). “The composite cost function and efficiency in Japanese banking”Working paper AIF 94-3, The Queen’s University of Belfast, Accounting & Finance Division, May.
94.
MahajanA.RanganN.ZardkoohiA. (1996). “Cost structures in multinational and domestic banking”Journal of Banking and Finance, 20, 283–306.
95.
MesterL.J. (1996). “A study of bank efficiency taking into account risk-preferences”Journal of Banking and Finance, 20, 1025–1045.
96.
MillerS.M.NoulasA.G. (1996). “The technical efficiency of large bank production”Journal of Banking and Finance, 20, 495–509.
97.
MitchellK.OnvuralN.M. (1996). “Economies of scale and scope at large commercial banks: Evidence from the Fourier flexible functional form”Journal of Money, Credit and Banking, 28(2), May, 178–199.
98.
MurrayJ.D.WhiteR.W. (1983). “Economies of scale and economies of scope in multi-product financial institutions: A study of British Columbia credit unions”Journal of Finance, 38, 887–902.
99.
NathanA.NeaveE.H. (1992). “Operating efficiency of Canadian banks”Journal of Financial Services Research, 6, 265–276.
100.
NelsonR.W. (1985). “Branching, scale economies and banking costs”Journal of Banking and Finance, 9, 177–191.
101.
NewmanJ.A.ShrievesR.E. (1993). “The multibank holding company effect on cost efficiency in banking”Journal of Banking and Finance, 17, 709–732.
102.
NoulasA.G.RayR.C.MillerS.N. (1990). “Returns to scale and input substitution for large U.S. banks”Journal of Money, Credit and Banking, 22, 94–107.
103.
PavlopolosP.G.KouelisA.K. (1990). “Cost behaviour in the banking industry: evidence from a Greek commercial bank”Applied Economics, 22, 94–107.
104.
PanzarJ.C.WilligR.D. (1977). “Economies of scale in multi-product production”Quarterly Journal of Economics, 91, 481–493.
105.
PiL.TimmeS.G. (1993). “Corporate control and bank efficiency”Journal of Banking and Finance, 17, 515–530.
106.
PulleyL.B.BraunsteinY.M. (1992). “A composite cost function for multi-product firms with an application to economies of scope in banking”The Review of Economics and Statistics, 221–230.
107.
PulleyL.HumphreyD.B. (1993). “The role of fixed costs and cost complementarities in determining scope economies and the cost of narrow banking proposals”Journal of Business, 66.
108.
RestiA. (1997). “Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques”Journal of Banking and Finance, 21, 221–250.
109.
SealeyC.W.LindleyJ.T. (1977). “Inputs, outputs, and a theory of production and cost at depository financial institutions”The Journal of Finance, 32(4), September, 1252–1253.
110.
SeifordL.M.ThrallR.M. (1990). “Recent developments in DEA: the mathematical programming approach to frontier analysis”Journal of Econometrics, 46, 7–38.
111.
ShafferS.EdmondD. (1991). “Economies of superscale in commercial banking”Applied Economics, 23, 283–293.
112.
ShafferS. (1993). “Can megamergers improve bank efficiency?”Journal of Banking and Finance, 17, 423–436.
113.
SharmanH.D. (1984). “Data envelopment analysis as a new managerial audit methodology—test and evaluation”Auditing: a Journal of Practice and Theory, 4(1), Fall, 35–53.
114.
ShephardR.W. (1970). Theory of Cost and Production Functions, Princeton University Press, Princeton.
115.
SilkmanR.H. (1986). “Measuring efficiency: An assessment of data envelopment analysis”New Directions for Program Evaluation, no. 32, Winter, Josey Bass, San Francisco.
116.
SrinivasanA. (1992). “Are there cost savings from bank mergers?”Federal Reserve Bank of Atlanta Economic Review, March/April, 17–28.
117.
StevensonR.E. (1980). “Likelihood function for generalized stochastic frontier estimation”Journal of Econometrics, 13, 57–66.
118.
TachibanakiT.MitsuiK.KitagawaH. (1991). “Economies of scope and shareholding of banks in Japan”Journal of Japanese and International Economies, 5, 261–281.
119.
ThanassoulisE. (1993). “A comparison of regression analysis and data envelopment analysis as alternative methods for performance assessments”Journal of the Operational Research Society, 44(11), 1129–1144.
120.
YueP. (1992). “Data envelopment analysis and commercial bank performance: A primer with applications to Missouri banks”Federal Reserve Bank of St Louis Review, 74, January/February, 31–45.
121.
ZardkoohiA.KolariJ. (1994). “Branch office economies of scale and scope: evidence from savings banks in Finland”Journal of Banking and Finance, 18, 421–432.
122.
ZhuJ.Zhao-HanS. (1995). “A discussion on testing DMU’s returns to scale”European Journal of Operational Research, 81, 590–596.
