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In dubio pro CES - Supply estimation with mis-specified technical change

Author

Listed:
  • McAdam, Peter
  • Willman, Alpo
  • León-Ledesma, Miguel A.

Abstract

Capital-labor substitution and total factor productivity (TFP) estimates are essential features of growth and income distribution models. In the context of a Monte Carlo exercise embodying balanced and near balanced growth, we demonstrate that the estimation of the substitution elasticity can be substantially biased if the form of technical progress is misspecified. For some parameter values, when factor shares are relatively constant, there could be an inherent bias towards Cobb-Douglas. The implied estimates of TFP growth also yield substantially different results depending on the specification of technical progress. A Constant Elasticity of Substitution production function is then estimated within a “normalized” system approach for the US economy over 1960:1–2004:4. Results show that the estimated substitution elasticity tends to be significantly lower using a factor augmenting specification (well below one). We are able to reject Hicks-, Harrod- and Solow-neutral specifications in favor of general factor augmentation with a non-negligible capital-augmenting component. Finally, we draw some important lessons for production and supply-side estimation. JEL Classification: C15, C32, E23, O33, O51

Suggested Citation

  • McAdam, Peter & Willman, Alpo & León-Ledesma, Miguel A., 2010. "In dubio pro CES - Supply estimation with mis-specified technical change," Working Paper Series 1175, European Central Bank.
  • Handle: RePEc:ecb:ecbwps:20101175
    Note: 50336
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    References listed on IDEAS

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    1. Charles I. Jones, 2003. "Growth, capital shares, and a new perspective on production functions," Proceedings, Federal Reserve Bank of San Francisco, issue Nov.
    2. Susanto Basu & John G. Fernald & Nicholas Oulton & Sylaja Srinivasan, 2003. "The Case of the Missing Productivity Growth: Or, Does Information Technology Explain why Productivity Accelerated in the US but not the UK?," NBER Working Papers 10010, National Bureau of Economic Research, Inc.
    3. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
    4. Marquetti, Adalmir A., 2003. "Analyzing historical and regional patterns of technical change from a classical-Marxian perspective," Journal of Economic Behavior & Organization, Elsevier, vol. 52(2), pages 191-200, October.
    5. Franklin M. Fisher & Robert M. Solow & James M. Kearl, 1977. "Aggregate Production Functions: Some CES Experiments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 305-320.
    6. Joon Y. Park, 2003. "Bootstrap Unit Root Tests," Econometrica, Econometric Society, vol. 71(6), pages 1845-1895, November.
    7. Warne, Anders & Coenen, Günter & Christoffel, Kai, 2010. "Forecasting with DSGE models," Working Paper Series 1185, European Central Bank.
    8. Daron Acemoglu, 2002. "Technical Change, Inequality, and the Labor Market," Journal of Economic Literature, American Economic Association, vol. 40(1), pages 7-72, March.
    9. Yoosoon Chang & Joon Y. Park, 2003. "A Sieve Bootstrap For The Test Of A Unit Root," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(4), pages 379-400, July.
    10. John G. Fernald & Shanthi Ramnath, 2004. "The acceleration in U.S. total productivity after 1995: the role of information technology," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 28(Q I), pages 52-67.
    11. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    12. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
    13. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    14. Diamond, Peter & McFadden, Daniel & Rodriguez, Miguel, 1978. "Measurement of the Elasticity of Factor Substitution and Bias of Technical Change," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 2, chapter 5, McMaster University Archive for the History of Economic Thought.
    15. Chirinko, Robert S., 2002. "Corporate Taxation, Capital Formation,and the Substitution Elasticity Between Labor and Capital," National Tax Journal, National Tax Association;National Tax Journal, vol. 55(2), pages 339-355, June.
    16. Rowthorn, Robert, 1999. "Unemployment, Wage Bargaining and Capital-Labour Substitution," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 23(4), pages 413-425, July.
    17. van de Klundert, T.C.M.J. & David, P.A., 1965. "Biased Efficiency Growth and Capital-Labor Substitution in the U.S., 1899-1960Biased Efficiency Growth and Capital-Labor Substitution in the U.S., 1899-1960," Other publications TiSEM 049dd3c3-8689-4ac6-9e72-7, Tilburg University, School of Economics and Management.
    18. Dale W. Jorgenson, 2001. "Information Technology and the U.S. Economy," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(1), pages 3-34.
    19. Peter McAdam & A. J. Hughes Hallett, 1999. "Nonlinearity, ComputationaL Complexity and Macroeconomic Modelling," Journal of Economic Surveys, Wiley Blackwell, vol. 13(5), pages 577-618, December.
    20. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    21. Yuhn, Ky-hyang, 1991. "Economic Growth, Technical Change Biases, and the Elasticity of Substitution: A Test of the De La Grandville Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 340-346, May.
    22. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    23. McAdam, Peter & Willman, Alpo, 2013. "Medium Run Redux," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 695-727, June.
    24. Thursby, Jerry, 1980. "Alternative CES Estimation Techniques," The Review of Economics and Statistics, MIT Press, vol. 62(2), pages 295-299, May.
    25. Willman, Alpo, 2002. "Euro area production function and potential output: a supply side system approach," Working Paper Series 153, European Central Bank.
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    Citations

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    Cited by:

    1. Szomolányi, Karol & Lukáčik, Martin & Lukáčiková, Adriana, 2018. "Elasticity of Substitution in Post-Communist Economies," Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference (2018), Split, Croatia, in: Proceedings of the ENTRENOVA - ENTerprise REsearch InNOVAtion Conference, Split, Croatia, 6-8 September 2018, pages 105-111, IRENET - Society for Advancing Innovation and Research in Economy, Zagreb.
    2. Cristiano Cantore & Paul Levine & Giovanni Melina, 2014. "A Fiscal Stimulus and Jobless Recovery," Scandinavian Journal of Economics, Wiley Blackwell, vol. 116(3), pages 669-701, July.
    3. Neil Rankin & Rulof Burger & Friedrich Kreuser, 2015. "The elasticity of substitution and labour-displacing technical change in post-apartheid South Africa," WIDER Working Paper Series 101, World Institute for Development Economic Research (UNU-WIDER).
    4. McAdam, Peter & Willman, Alpo & León-Ledesma, Miguel A., 2011. "Aggregation, the skill premium, and the two-level production function," Working Paper Series 1400, European Central Bank.
    5. Matteo F. Ghilardi & Raffaele Rossi, 2014. "Aggregate Stability and Balanced‐Budget Rules," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(8), pages 1787-1809, December.
    6. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    7. PETER McADAM & ALPO WILLMAN, 2013. "Technology, Utilization, and Inflation: What Drives the New Keynesian Phillips Curve?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(8), pages 1547-1579, December.
    8. Zhu, Xuehong & Zeng, Anqi & Zhong, Meirui & Huang, Jianbai, 2021. "Elasticity of substitution and biased technical change in the CES production function for China's metal-intensive industries," Resources Policy, Elsevier, vol. 73(C).
    9. Alpo Willman & Miguel A. León-Ledesma & Peter McAdam, 2012. "Explaining the Skill Premium: Technical Change or Capita-Skill Complements?," EcoMod2012 4356, EcoMod.
    10. Jakub Growiec, 2012. "The World Technology Frontier: What Can We Learn from the US States?-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(6), pages 777-807, December.
    11. Timothy J. Garrett & Matheus R. Grasselli & Stephen Keen, 2020. "Past production constrains current energy demands: persistent scaling in global energy consumption and implications for climate change mitigation," Papers 2006.03718, arXiv.org.
    12. Song, Malin & Wang, Shuhong, 2016. "Can employment structure promote environment-biased technical progress?," Technological Forecasting and Social Change, Elsevier, vol. 112(C), pages 285-292.
    13. Di Pace, Federico & Villa, Stefania, 2016. "Factor complementarity and labour market dynamics," European Economic Review, Elsevier, vol. 82(C), pages 70-112.

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    More about this item

    Keywords

    Balanced Growth; Constant Elasticity of Substitution; factor-augmenting technical change; Factor Income share; Technical Progress Neutrality;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O51 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - U.S.; Canada

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