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Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks

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  • Tortosa-Ausina, Emili
  • Grifell-Tatje, Emili
  • Armero, Carmen
  • Conesa, David

Abstract

Hypothesis testing and statistical precision in the context of nonparametric efficiency and productivity measurement have been investigated since the early 1990s. Recent contributions focus on this matter through the use of resampling methods?i.e., bootstrapping techniques. However, empirical evidence is still practically non-existent. This gap is more noticeable in the case of banking efficiency studies, where the literature is immense. In this paper, we explore productivity growth and productive efficiency for Spanish savings banks over the (initial) post-deregulation period 1992?1998 using Data Envelopment Analysis (DEA) and bootstrapping techniques. Results show that productivity growth has occurred, mainly due to improvement in production possibilities, and that mean efficiency has remained fairly constant over time. The bootstrap analysis yields further evidence, as for many firms productivity growth, or decline, is not statistically significant. With regard to efficiency measurement, the bootstrap reveals that the disparities in the original efficiency scores of some firms are lessened to a great extent. Desde principios de los años noventa ha habido avances notables en el contraste de hipótesis dentro del contexto de la medición de la eficiencia y la productividad mediante técnicas paramétricas. Las contribuciones más recientes han enfocado el tema a través de métodos de remuestreo -conocidos en la literatura como técnicas bootstrap-. Sin embargo, prácticamente no ha habido aplicaciones, algo también patente en el estudio de la eficiencia de la empresa bancaria. En este artículo, analizamos la eficiencia productiva y el crecimiento de la productividad de las cajas de ahorro españolas durante el periodo 1992-1998 a través de técnicas no paramétricas (DEA) y de técnicas bootstrap, con el fin de poder realizar inferencia estadística. Los resultados indican que la productividad ha aumentado, principalmente debido a una mejora en las posibilidades de producción,
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  • Tortosa-Ausina, Emili & Grifell-Tatje, Emili & Armero, Carmen & Conesa, David, 2008. "Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1062-1084, February.
    • Handle: RePEc:eee:ejores:v:184:y:2008:i:3:p:1062-1084
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    1. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
    2. X. M. Gonzalez & D. Miles, 2002. "Statistical precision of DEA: a bootstrap application to Spanish public services," Applied Economics Letters, Taylor & Francis Journals, vol. 9(2), pages 127-132.
    3. Ferrier, Gary D. & Grosskopf, Shawna & Hayes, Kathy J. & Yaisawarng, Suthathip, 1993. "Economies of diversification in the banking industry : A frontier approach," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 229-249, April.
    4. Joaquín Maudos, 1996. "Eficiencia, cambio técnico y productividad en el sector bancario español: una aproximación de frontera estocástica," Investigaciones Economicas, Fundación SEPI, vol. 20(3), pages 339-358, September.
    5. Kumbhakar, Subal C, et al, 2001. "The Effects of Deregulation on the Performance of Financial Institutions: The Case of Spanish Savings Banks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(1), pages 101-120, February.
    6. Rogers, Kevin E., 1998. "Nontraditional activities and the efficiency of US commercial banks," Journal of Banking & Finance, Elsevier, vol. 22(4), pages 467-482, May.
    7. Grifell-Tatje, E. & Lovell, C. A. K., 1997. "The sources of productivity change in Spanish banking," European Journal of Operational Research, Elsevier, vol. 98(2), pages 364-380, April.
    8. Ana Lozano-Vivas, 1998. "Efficiency and technical change for Spanish banks," Applied Financial Economics, Taylor & Francis Journals, vol. 8(3), pages 289-300.
    9. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589819, September.
    10. David Humphrey, 1993. "Cost and technical change: Effects from bank deregulation," Journal of Productivity Analysis, Springer, vol. 4(1), pages 9-34, June.
    11. Gorton, Gary & Rosen, Richard, 1995. "Corporate Control, Portfolio Choice, and the Decline of Banking," Journal of Finance, American Finance Association, vol. 50(5), pages 1377-1420, December.
    12. Amel, Dean & Barnes, Colleen & Panetta, Fabio & Salleo, Carmelo, 2004. "Consolidation and efficiency in the financial sector: A review of the international evidence," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2493-2519, October.
    13. repec:bla:scandj:v:94:y:1992:i:0:p:s211-28 is not listed on IDEAS
    14. C.A. Lovell, 2000. "Editor's Introduction," Journal of Productivity Analysis, Springer, vol. 13(1), pages 5-6, January.
    15. Emili Tortosa-Ausina, 2002. "Bank Cost Efficiency and Output Specification," Journal of Productivity Analysis, Springer, vol. 18(3), pages 199-222, November.
    16. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    17. Xavier Freixas & Anthony M. Santomero, 2002. "An overall perspective on banking regulation," Working Papers 02-1, Federal Reserve Bank of Philadelphia.
    18. Gary Ferrier & Joseph Hirschberg, 1999. "Can We Bootstrap DEA Scores?," Journal of Productivity Analysis, Springer, vol. 11(1), pages 81-92, February.
    19. Joaquín Maudos Villarroya, 1996. "Market structure and performance in Spanish banking using a direct measure of efficiency," Working Papers. Serie EC 1996-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    20. Léopold Simar & Paul Wilson, 1999. "Some Problems with the Ferrier/Hirschberg Bootstrap Idea," Journal of Productivity Analysis, Springer, vol. 11(1), pages 67-80, February.
    21. Fried, Harold O. & Lovell, C. A. Knox & Schmidt, Shelton S. (ed.), 1993. "The Measurement of Productive Efficiency: Techniques and Applications," OUP Catalogue, Oxford University Press, number 9780195072181.
    22. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications 3 Volume Paperback Set," Cambridge Books, Cambridge University Press, number 9780521581394.
    23. Wheelock, David C & Wilson, Paul W, 1999. "Technical Progress, Inefficiency, and Productivity Change in U.S. Banking, 1984-1993," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 212-234, May.
    24. Mukherjee, Kankana & Ray, Subhash C. & Miller, Stephen M., 2001. "Productivity growth in large US commercial banks: The initial post-deregulation experience," Journal of Banking & Finance, Elsevier, vol. 25(5), pages 913-939, May.
    25. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    26. Rolf Färe & Shawna Grosskopf & William L. Weber, 1989. "Measuring School District Performance," Public Finance Review, , vol. 17(4), pages 409-428, October.
    27. Simar, Leopold & Wilson, Paul W., 1999. "Estimating and bootstrapping Malmquist indices," European Journal of Operational Research, Elsevier, vol. 115(3), pages 459-471, June.
    28. Joaquin Maudos & Jose Pastor & Francisco Perez, 2002. "Competition and efficiency in the Spanish banking sector: the importance of specialization," Applied Financial Economics, Taylor & Francis Journals, vol. 12(7), pages 505-516.
    29. Vivas, Ana Lozano, 1997. "Profit efficiency for Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 98(2), pages 381-394, April.
    30. Rolf Färe & Gerald Whittaker, 1995. "An Intermediate Input Model Of Dairy Production Using Complex Survey Data," Journal of Agricultural Economics, Wiley Blackwell, vol. 46(2), pages 201-213, May.
    31. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589833, September.
    32. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    33. Prior, Diego, 2003. "Long- and short-run non-parametric cost frontier efficiency: An application to Spanish savings banks," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 655-671, April.
    34. Léopold Simar & Paul Wilson, 1999. "Of Course We Can Bootstrap DEA Scores! But Does It Mean Anything? Logic Trumps Wishful Thinking," Journal of Productivity Analysis, Springer, vol. 11(1), pages 93-97, February.
    35. Gilbert, R. Alton & Wilson, Paul W., 1998. "Effects of Deregulation on the Productivity of Korean Banks," Journal of Economics and Business, Elsevier, vol. 50(2), pages 133-155, March.
    36. Vives, Xavier, 1991. "Regulatory reform in European banking," European Economic Review, Elsevier, vol. 35(2-3), pages 505-515, April.
    37. Grifell-Tatje, E. & Lovell, C. A. K., 1996. "Deregulation and productivity decline: The case of Spanish bavings banks," European Economic Review, Elsevier, vol. 40(6), pages 1281-1303, June.
    38. Vives, Xavier, 1990. "Deregulation and competition in Spanish banking," European Economic Review, Elsevier, vol. 34(2-3), pages 403-411, May.
    39. Simar, Leopold & Wilson, Paul W., 2002. "Non-parametric tests of returns to scale," European Journal of Operational Research, Elsevier, vol. 139(1), pages 115-132, May.
    40. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    41. Joel L. Horowitz, 1996. "Bootstrap Methods in Econometrics: Theory and Numerical Performance," Econometrics 9602009, University Library of Munich, Germany, revised 05 Mar 1996.
    42. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455, September.
    43. Ana Lozano-Vivas & Jesús Pastor & José Pastor, 2002. "An Efficiency Comparison of European Banking Systems Operating under Different Environmental Conditions," Journal of Productivity Analysis, Springer, vol. 18(1), pages 59-77, July.
    44. O. B. Olesen & N. C. Petersen, 1995. "Chance Constrained Efficiency Evaluation," Management Science, INFORMS, vol. 41(3), pages 442-457, March.
    45. José Manuel Pastor Monsálvez, 1995. "Eficiencia, Cambio Productivo Y Cambio Técnico En Los Bancos Y Cajas De Ahorro Españolas: Un Análisis Frontera No Paramétrico," Working Papers. Serie EC 1995-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    46. Gary Ferrier & Joseph Hirschberg, 1997. "Bootstrapping Confidence Intervals for Linear Programming Efficiency Scores: With an Illustration Using Italian Banking Data," Journal of Productivity Analysis, Springer, vol. 8(1), pages 19-33, March.
    47. Emili Tortosa-Ausina, 2002. "Cost Efficiency and Product Mix Clusters across the Spanish Banking Industry," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 20(2), pages 163-181, March.
    48. J. Maudos & J. M. Pastor, 2003. "Cost and profit efficiency in the Spanish banking sector (1985-1996): a non-parametric approach," Applied Financial Economics, Taylor & Francis Journals, vol. 13(1), pages 1-12.
    49. Rogers, Kevin & SinkeyJr., Joseph F., 1999. "An analysis of nontraditional activities at U.S. commercial banks," Review of Financial Economics, Elsevier, vol. 8(1), pages 25-39, June.
    50. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
    51. Emili Tortosa-Ausina, 2002. "Financial costs, operating costs, and specialization of Spanish banking firms as distribution dynamics," Applied Economics, Taylor & Francis Journals, vol. 34(17), pages 2165-2176.
    52. Crespi, Rafel & Garcia-Cestona, Miguel A. & Salas, Vicente, 2004. "Governance mechanisms in Spanish banks. Does ownership matter?," Journal of Banking & Finance, Elsevier, vol. 28(10), pages 2311-2330, October.
    53. Kreps,David M. & Wallis,Kenneth F. (ed.), 1997. "Advances in Economics and Econometrics: Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521589826, September.
    54. Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • L5 - Industrial Organization - - Regulation and Industrial Policy

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