A cross-country comparison of productivity growth using the generalised metafrontier Malmquist productivity index: with application to banking industries in Taiwan and China

This paper is an extension of the metafrontier Malmquist productivity index, which takes into account the effect of scale efficiency change in its decomposition for both the non-parametric and parametric frameworks. Meanwhile, the ‘catch-up’ in the index is also disintegrated as two components: pure technological catch-up and frontier catch-up. An empirical application that uses unbalanced panel data of the Taiwanese and Chinese commercial banking industry is also conducted under a parametric framework. The results reveal that the adverse scale efficiency change is the key factor to inducing the inferior productivity growth seen in Chinese banks compared with Taiwanese banks, which spotlights the importance of the scale efficiency change term on productivity measures. It also provides one possible explanation for the recent hot issue about the motives for the two shores of the Taiwan Straits advancing financial openness to each other and mutually signing a banking Memorandum of Understanding.

[1]  Lawrence J. Lau,et al.  The meta-production function approach to technological change in world agriculture☆ , 1989 .

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

[3]  S Malmquost,et al.  INDEX NUMBERS AND INDIFFERENCE CURVES , 1953 .

[4]  D. Aigner,et al.  P. Schmidt, 1977,?Formulation and estimation of stochastic frontier production function models,? , 1977 .

[5]  Luis Orea,et al.  Parametric Decomposition of a Generalized Malmquist Productivity Index , 2002 .

[6]  Timothy Coelli,et al.  An Introduction to Efficiency and Productivity Analysis , 1997 .

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

[8]  Nirvikar Singh,et al.  Productivity and Economic Growth in East Asia: Innovation, Efficiency and Accumulation , 2002 .

[9]  Tai-Hsin Huang,et al.  An Empirical Study of Bank Efficiencies and Technology Gaps in European Banking , 2011 .

[10]  George E. Battese,et al.  Technology Gap, Efficiency, and a Stochastic Metafrontier Function , 2002 .

[11]  Ragnar Frisch,et al.  Theory Of Production , 1965 .

[12]  B. Bosworth,et al.  Economic Growth in East Asia: Accumulation versus Assimilation , 1996 .

[13]  Alwyn Young A Tale of Two Cities: Factor Accumulation and Technical Change in Hong Kong and Singapore , 1992, NBER macroeconomics annual.

[14]  Sergio Perelman,et al.  A Parametric Distance Function Approach for Malmquist Productivity Index Estimation , 2001 .

[15]  Ching-Cheng Chang,et al.  Efficiency change and growth in productivity: the Asian growth experience , 1999 .

[16]  G. Battese,et al.  A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies , 2004 .

[17]  G. Battese,et al.  Frontier production functions, technical efficiency and panel data: With application to paddy farmers in India , 1992 .

[18]  Paul Cook,et al.  Productivity growth in east Asia: a reappraisal , 2002 .

[19]  Thomas G. Cowing,et al.  Productivity Measurement in Regulated Industries , 1981 .

[20]  C. Lovell,et al.  A generalized Malmquist productivity index , 1999 .

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

[22]  Walter Diewert,et al.  Exact and superlative index numbers , 1976 .

[23]  L. R. Christensen,et al.  MULTILATERAL COMPARISONS OF OUTPUT, INPUT, AND PRODUCTIVITY USING SUPERLATIVE INDEX NUMBERS* , 1982 .

[24]  Chang-tai Hsieh What explains the industrial revolution in East Asia , 2002 .

[25]  Yanrui Wu Openness, productivity and growth in the APEC economies , 2004 .

[26]  Stanley Fischer,et al.  The Role of Macroeconomic Factors in Growth , 1993 .

[27]  Robin C. Sickles,et al.  The role of environmental factors in growth accounting , 2004 .

[28]  W. Meeusen,et al.  Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error , 1977 .

[29]  J. Krüger The global trends of total factor productivity: evidence from the nonparametric Malmquist index approach , 2003 .

[30]  R. Banker Estimating most productive scale size using data envelopment analysis , 1984 .

[31]  S. Kumbhakar,et al.  Estimation of growth convergence using a stochastic production frontier approach , 2005 .

[32]  Sergio Perelman,et al.  A parametric distance function approach for Malmquist index estimation , 1998 .

[33]  S. Ray,et al.  PRODUCTIVITY GROWTH, TECHNICAL PROGRESS AND EFFICIENCY CHANGE IN INDUSTRIALIZED COUNTRIES: COMMENT , 1997 .

[34]  Alwyn Young,et al.  The Tyranny of Numbers: Confronting the Statistical Realities of the East Asian Growth Experience , 1994 .

[35]  G. Battese,et al.  Metafrontier frameworks for the study of firm-level efficiencies and technology ratios , 2008 .

[36]  Rolf Färe,et al.  Productivity Growth and Convergence in the European Union , 2006 .

[37]  L. Törnqvist The Bank of Finland's consumption price index , 1936 .

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

[39]  Subhash C. Ray,et al.  Measuring Scale Efficiency from a Translog Production Function , 1999 .

[40]  Richard Nehring,et al.  Levels of Farm Sector Productivity: An International Comparison , 2001 .

[41]  B. Balk Scale Efficiency and Productivity Change , 2001 .

[42]  Chang-tai Hsieh Productivity Growth and Factor Prices in East Asia , 1999 .

[43]  S. Malmquist Index numbers and indifference surfaces , 1953 .