Bootstrapping profit change: An application to Spanish banks

The aim of this study is to provide a tool which enables us to conduct statistical analysis in the context of changes in productivity and profit. We build on previous initiatives to decompose profit change into mutually exclusive and exhaustive sources. To do this we use distance functions, which are calculated empirically using linear programming techniques. However, we may not learn a great deal by solving these linear programs unless methods of statistical analysis are used to examine the properties of the relevant estimators. Our purpose is to provide a methodology based on bootstrap that allows us to conduct statistical inference for the profit change decomposition. Thus, it will be possible to answer questions such as whether variations in the profit change components, or the differences across firms, are statistically significant. We provide an application to Spanish commercial banks for the 2003/2004 period. Results suggest that profit change differentials between them are not always significant. Therefore, the validity of the conclusions which do not factor in the bootstrap may be jeopardized to varying degrees.

[1]  L. Simar,et al.  Nonparametric efficiency analysis: a multivariate conditional quantile approach , 2007 .

[2]  Anthony C. Davison,et al.  Bootstrap Methods and Their Application , 1998 .

[3]  John N. Warfield,et al.  Enterprise integration of product development data: systems science in action , 2007, Enterp. Inf. Syst..

[4]  Paul W. Wilson,et al.  FEAR: A software package for frontier efficiency analysis with R , 2008 .

[5]  L. R. Christensen,et al.  THE ECONOMIC THEORY OF INDEX NUMBERS AND THE MEASUREMENT OF INPUT, OUTPUT, AND PRODUCTIVITY , 1982 .

[6]  P. W. Wilson,et al.  Some Problems with the Ferrier/Hirschberg Bootstrap Idea , 1997 .

[7]  Emili Tortosa‐Ausina.  Nontraditional activities and bank efficiency revisited: a distributional analysis for Spanish financial institutions , 2003 .

[8]  M. Farrell.  The Measurement of Productive Efficiency , 1957 .

[9]  R. Färe,et al.  Productivity changes in Swedish pharamacies 1980–1989: A non-parametric Malmquist approach , 1992 .

[10]  David Hinkley,et al.  Bootstrap Methods: Another Look at the Jackknife , 2008 .

[11]  Governance mechanisms in Spanish banks. Does ownership matter , 2004 .

[12]  Dominique Deprins,et al.  Measuring Labor-Efficiency in Post Offices , 2006 .

[13]  Rajiv D. Banker,et al.  Productivity Measurement and Management Accounting , 1989 .

[14]  Douglas A. McManus,et al.  Resolving the Scale Efficiency Puzzle in Banking , 1993 .

[15]  J. Warford,et al.  Total Factor Productivity Growth , Technological Progress , and Technical Efficiency Change Dimensions of Productivity Change in Yugoslavia , 1965-78 , 2022 .

[16]  David C. Wheelock,et al.  Robust Non-Parametric Quantile Estimation of Efficiency and Productivity Change in U.S. Commercial Banking, 1985-2004 , 2007 .

[17]  Bela Gold,et al.  Technology, productivity and economic analysis , 1973 .

[18]  L. Weill.  Measuring Cost Efficiency in European Banking: A Comparison of Frontier Techniques , 2004 .

[19]  Xiaobo Xu,et al.  Effects of two national environmental factors on e-commerce functionality adoption: a cross-country case study of a global bank , 2008, Enterp. Inf. Syst..

[20]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[21]  Mieko Nishimizu.  Total factor productivity growth, technological progress and technical efficiency change : dimensions of productivity change in Yugoslavia, 1965-1978 , 1982 .

[22]  Kevin E. Rogers.  Nontraditional activities and the efficiency of US commercial banks , 1998 .

[23]  A. Skowron,et al.  Methodology and applications , 1998 .

[24]  David V. Conesa,et al.  Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks , 2008, Eur. J. Oper. Res..

[25]  V. Salas-Fumás,et al.  Governance Mechanisms in Spanish Banks: Does Ownership Matter? , 2003 .

[26]  Robert Tibshirani,et al.  An Introduction to the Bootstrap , 1994 .

[27]  Jesús T. Pastor,et al.  Relating Macro-economic Efficiency to Financial Efficiency: A Comparison of Fifteen OECD Countries Over an Eighteen Year Period , 2006 .

[28]  H. Hansmann,et al.  The Ownership of Enterprise , 1996 .

[29]  Emili Tortosa-Ausina,et al.  A bootstrap approach to analyse productivity growth in European banking , 2010, J. Oper. Res. Soc..

[30]  Henry Tulkens,et al.  On FDH efficiency analysis: Some methodological issues and applications to retail banking, courts, and urban transit , 1993 .

[31]  Gary D. Ferrier,et al.  Bootstrapping Confidence Intervals for Linear Programming Efficiency Scores: With an Illustration Using Italian Banking Data , 1997 .

[32]  Z. Griliches,et al.  The Explanation of Productivity Change , 1967 .

[33]  R. Färe,et al.  Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries , 1994 .

[34]  P. W. Wilson,et al.  Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models , 1998 .

[35]  Kazukiyo Kurosawa.  An aggregate index for the analysis of productivity and profitability , 1975 .

[36]  Allen N. Berger,et al.  Efficiency of Financial Institutions: International Survey and Directions for Future Research , 1997 .

[37]  Paul W. Wilson,et al.  New evidence on returns to scale and product mix among U.S. commercial banks , 2001 .

[38]  B. Casu,et al.  A comparative study of efficiency in European banking , 2003 .

[39]  John N. Warfield,et al.  Systems science serves enterprise integration: a tutorial , 2007, Enterp. Inf. Syst..

[40]  Shawna Grosskopf,et al.  Some Remarks on Productivity and its Decompositions , 2003 .

[41]  P. W. Wilson,et al.  Statistical Inference in Nonparametric Frontier Models: The State of the Art , 1999 .

[42]  Walter Diewert,et al.  Capital and the Theory of Productivity Measurement , 2016 .

[43]  B. Gold.  Foundations of Strategic Planning for Productivity Improvement , 1985 .

[44]  B. Efron.  Bootstrap Methods: Another Look at the Jackknife , 1979 .

[45]  Emili Grifell-Tatjé,et al.  Profits and Productivity , 1999 .

[46]  Gary D. Ferrier,et al.  Can We Bootstrap DEA Scores? , 1999 .

[47]  Léopold Simar,et al.  Non-parametric tests of returns to scale , 2002, Eur. J. Oper. Res..

[48]  Paul W. Wilson,et al.  Effects of Deregulation on the Productivity of Korean Banks , 1998 .

[49]  R. Shepherd.  Theory of cost and production functions , 1970 .

[50]  P. W. Wilson,et al.  Estimation and Inference in Nonparametric Frontier Models: Recent Developments and Perspectives , 2013 .

[51]  J. Florens,et al.  Nonparametric frontier estimation: a robust approach , 2002 .

[52]  W. Diewert,et al.  New techniques in the measurement of multifactor productivity , 1990 .

[53]  Carlos Martins-Filho,et al.  Nonparametric frontier estimation via local linear regression , 2007 .

[54]  F. Førsund,et al.  Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants , 1979 .

[55]  Léopold Simar,et al.  Estimating and bootstrapping Malmquist indices , 1999, Eur. J. Oper. Res..

[56]  W. Diewert.  THE MEASUREMENT OF PRODUCTIVITY , 1992 .

[57]  Léopold Simar,et al.  Of Course We Can Bootstrap DEA Scores! But Does It Mean Anything? Logic Trumps Wishful Thinking , 1999 .

[58]  David C. Wheelock,et al.  PUBLISHED: Journal of Money, Credit and Banking, , 1996 .

[59]  E. F. Sudit,et al.  Productivity-based financial net income analysis , 1981 .

[60]  R. Shephard.  Cost and production functions , 1953 .

[61]  C. W. Sealey,et al.  Inputs, Outputs, and a Theory of Production and Cost at Depository Financial Institutions , 1977 .

[62]  Ten Independence Mall.  EFFICIENCY AND PRODUCTIVITY CHANGE IN THE U.S. COMMERCIAL BANKING INDUSTRY: A COMPARISON OF THE 1980s AND 1990s , 1997 .

[63]  J. Florens,et al.  Functional convergence of quantile-type frontiers with application to parametric approximations , 2008 .

[64]  C. Lovell,et al.  The Effects of Deregulation on the Performance of Financial Institutions: The Case of Spanish Savings Banks , 2001 .

[65]  Ling Li,et al.  The utility of returns to scale in DEA programming: An analysis of Michigan rural hospitals , 2005, Eur. J. Oper. Res..

[66]  P. W. Wilson,et al.  Estimation and inference in two-stage, semi-parametric models of production processes , 2007 .

[67]  Léopold Simar,et al.  Advanced Robust and Nonparametric Methods in Efficiency Analysis: Methodology and Applications , 2007 .

[68]  Léopold Simar,et al.  Estimating efficiencies from frontier models with panel data: A comparison of parametric, non-parametric and semi-parametric methods with bootstrapping , 1992 .

[69]  Abstmct,et al.  Hypothesis Tests Using Data Envelopment Analysis , 2022 .

[70]  Harold O. Fried,et al.  The measurement of productive efficiency : techniques and applications , 1993 .

[71]  H. O. Fried,et al.  Efficiency and productivity , 2008 .

[72]  K. Mitchell,et al.  Economies of Scale and Scope at Large Commercial Banks: Evidence from the Fourier Flexible Functional Form , 1996 .

[73]  P. A. White.  Efficiency and productivity in R & D , 1980 .

[74]  P. Pestieau,et al.  Public Enterprise Economics.@@@The Performance of Public Enterprises: Concepts and Measurement. , 1987 .

[75]  Li D. Xu,et al.  The contribution of systems science to information systems research , 2000 .