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Micro data and macro technology

Author

Listed:
  • Ezra Oberfield
  • Devesh Raval

Abstract

We study the implications of microeconomic heterogeneity for aggregate technology, showing that the aggregate elasticity of substitution between capital and labor can be expressed as a simple function of plant level structural parameters and sufficient statistics for plant heterogeneity. This allows for a new approach to estimating the aggregate elasticity using microeconomic data and allows us to examine how the aggregate elasticity varies over time or across countries. We then use plant level data from the Census of Manufactures to construct an aggregate elasticity of substitution for the manufacturing sector, and estimate an aggregate elasticity of approximately 0.72 in 1987. We find that the aggregate elasticity has risen over time in the US and is higher in less developed countries. These differences are quantitatively important; our estimates imply that a change in the interest rate has a 50 percent larger impact on India than the US. Finally, we measure the bias of aggregate technical change using our estimates of the aggregate elasticity, and find that the bias of technical change has increased in recent years.

Suggested Citation

  • Ezra Oberfield & Devesh Raval, 2012. "Micro data and macro technology," Working Paper Series WP-2012-11, Federal Reserve Bank of Chicago.
    • Handle: RePEc:fip:fedhwp:wp-2012-11
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    as
    1. repec:ucp:bknber:9780226304557 is not listed on IDEAS
    2. Enghin Atalay, 2017. "How Important Are Sectoral Shocks?," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 254-280, October.
    3. Rudiger Dornbusch & Stanley Fischer & Paul A. Samuelson, 1980. "Heckscher-Ohlin Trade Theory with a Continuum of Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 203-224.
    4. Daniel Aaronson & Daniel G. Sullivan, 2002. "Growth in worker quality," Chicago Fed Letter, Federal Reserve Bank of Chicago, issue Feb.
    5. T. Kirk White & Jerome P. Reiter & Amil Petrin, 2018. "Imputation in U.S. Manufacturing Data and Its Implications for Productivity Dispersion," The Review of Economics and Statistics, MIT Press, vol. 100(3), pages 502-509, July.
    6. Chad Syverson, 2011. "What Determines Productivity?," Journal of Economic Literature, American Economic Association, vol. 49(2), pages 326-365, June.
    7. Alvarez-Cuadrado, Francisco & Long, Ngo Van & Poschke, Markus, 2018. "Capital-labor substitution, structural change and the labor income share," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 206-231.
    8. Abel, Andrew B., 1985. "Dynamic behavior of capital accumulation in a cash-in-advance model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 55-71, July.
    9. repec:hal:wpspec:info:hdl:2441/3lt9cev6r09aqpj1a1248i83gg is not listed on IDEAS
    10. 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.
    11. Thomas J. Holmes & John J. Stevens, 2010. "An Alternative Theory of the Plant Size Distribution with an Application to Trade," NBER Working Papers 15957, National Bureau of Economic Research, Inc.
    12. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    13. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    14. Simeon Djankov & Tim Ganser & Caralee McLiesh & Rita Ramalho & Andrei Shleifer, 2010. "The Effect of Corporate Taxes on Investment and Entrepreneurship," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(3), pages 31-64, July.
    15. David Albouy & Walter Graf & Ryan Kellogg & Hendrik Wolff, 2016. "Climate Amenities, Climate Change, and American Quality of Life," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(1), pages 205-246.
    16. Timothy J. Bartik, 1991. "Who Benefits from State and Local Economic Development Policies?," Books from Upjohn Press, W.E. Upjohn Institute for Employment Research, number wbsle.
    17. Buera, Francisco J. & Kaboski, Joseph P., 2012. "Scale and the origins of structural change," Journal of Economic Theory, Elsevier, vol. 147(2), pages 684-712.
    18. Mangin, Sephorah, 2017. "A theory of production, matching, and distribution," Journal of Economic Theory, Elsevier, vol. 172(C), pages 376-409.
    19. Chamley, Christophe, 1981. "The Welfare Cost of Capital Income Taxation in a Growing Economy," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 468-496, June.
    20. David H. Autor & Frank Levy & Richard J. Murnane, 2003. "The Skill Content of Recent Technological Change: An Empirical Exploration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1279-1333.
    21. Ricardo Lagos, 2006. "A Model of TFP," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 983-1007.
    22. Loukas Karabarbounis & Brent Neiman, 2019. "Accounting for Factorless Income," NBER Macroeconomics Annual, University of Chicago Press, vol. 33(1), pages 167-228.
    23. Erzo G. J. Luttmer, 2012. "Growth with a Fixed Factor," Working Papers 2012-1, University of Minnesota, Department of Economics.
    24. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    25. Johannes Boehm & Ezra Oberfield, 2020. "Misallocation in the Market for Inputs: Enforcement and the Organization of Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(4), pages 2007-2058.
    26. Olley, G Steven & Pakes, Ariel, 1996. "The Dynamics of Productivity in the Telecommunications Equipment Industry," Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
    27. Chang-Tai Hsieh & Peter J. Klenow, 2009. "Misallocation and Manufacturing TFP in China and India," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1403-1448.
    28. David H. Autor & David Dorn & Gordon H. Hanson, 2013. "The China Syndrome: Local Labor Market Effects of Import Competition in the United States," American Economic Review, American Economic Association, vol. 103(6), pages 2121-2168, October.
    29. Daron Acemoglu & Pascual Restrepo, 2018. "The Race between Man and Machine: Implications of Technology for Growth, Factor Shares, and Employment," American Economic Review, American Economic Association, vol. 108(6), pages 1488-1542, June.
    30. Berndt, Ernst R, 1976. "Reconciling Alternative Estimates of the Elasticity of Substitution," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 59-68, February.
    31. Daron Acemoglu, 2002. "Directed Technical Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 781-809.
    32. Ariel Burstein & Eduardo Morales & Jonathan Vogel, 2015. "Accounting for Changes in Between-Group Inequality," NBER Working Papers 20855, National Bureau of Economic Research, Inc.
    33. Gregory Mankiw, 1995. "The Growth of Nations," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(1, 25th A), pages 275-326.
    34. Daron Acemoglu, 2010. "When Does Labor Scarcity Encourage Innovation?," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1037-1078.
    35. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    36. Robert S. Chirinko & Steven M. Fazzari & Andrew P. Meyer, 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital--Labor Substitution Elasticity," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 587-594, October.
    37. Devesh R. Raval, 2019. "The micro elasticity of substitution and non‐neutral technology," RAND Journal of Economics, RAND Corporation, vol. 50(1), pages 147-167, March.
    38. Ricardo J. Caballero & Eduardo M. R. A. Engel & John C. Haltiwanger, 1995. "Plant-Level Adjustment and Aggregate Investment Dynamics," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(2), pages 1-54.
    39. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    40. Jason G. Cummins & Giovanni L. Violante, 2002. "Investment-Specific Technical Change in the US (1947-2000): Measurement and Macroeconomic Consequences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 5(2), pages 243-284, April.
    41. Banerjee, Abhijit V. & Duflo, Esther, 2005. "Growth Theory through the Lens of Development Economics," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 7, pages 473-552, Elsevier.
    42. Paul Gomme & Peter Rupert, 2004. "Measuring labors share of income," Policy Discussion Papers, Federal Reserve Bank of Cleveland, issue Nov.
    43. Berthold Herrendorf & Christopher Herrington & Ákos Valentinyi, 2015. "Sectoral Technology and Structural Transformation," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(4), pages 104-133, October.
    44. Antràs Pol, 2004. "Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-36, April.
    45. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    46. Roback, Jennifer, 1982. "Wages, Rents, and the Quality of Life," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1257-1278, December.
    47. H. S. Houthakker, 1955. "The Pareto Distribution and the Cobb-Douglas Production Function in Activity Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(1), pages 27-31.
    48. T. Kirk White & Jerome P. Reiter & Amil Petrin, 2012. "Plant-level Productivity and Imputation of Missing Data in U.S. Census Manufacturing Data," NBER Working Papers 17816, National Bureau of Economic Research, Inc.
    49. Mark Doms & Eric J. Bartelsman, 2000. "Understanding Productivity: Lessons from Longitudinal Microdata," Journal of Economic Literature, American Economic Association, vol. 38(3), pages 569-594, September.
    50. Paul Beaudry & David A. Green & Benjamin Sand, 2012. "Does Industrial Composition Matter for Wages? A Test of Search and Bargaining Theory," Econometrica, Econometric Society, vol. 80(3), pages 1063-1104, May.
    51. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    52. Eric Bartelsman & John Haltiwanger & Stefano Scarpetta, 2013. "Cross-Country Differences in Productivity: The Role of Allocation and Selection," American Economic Review, American Economic Association, vol. 103(1), pages 305-334, February.
    53. K. Sato, 1967. "A Two-Level Constant-Elasticity-of-Substitution Production Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 201-218.
    54. ., 2017. "Keynes and the monetary theory of production," Chapters, in: Crisis and the Failure of Economic Theory, chapter 4, pages 57-68, Edward Elgar Publishing.
    55. Robert J. Gordon, 1990. "The Measurement of Durable Goods Prices," NBER Books, National Bureau of Economic Research, Inc, number gord90-1.
    56. John G. Fernald, 2012. "A quarterly, utilization-adjusted series on total factor productivity," Working Paper Series 2012-19, Federal Reserve Bank of San Francisco.
    57. David Greenstreet, 2007. "Exploiting Sequential Learning to Estimate Establishment-Level Productivity Dynamics and Decision Rules," Economics Series Working Papers 345, University of Oxford, Department of Economics.
    58. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2004. "Factor substitution and factor augmenting technical progress in the US: a normalized supply-side system approach," Working Paper Series 367, European Central Bank.
    59. Barnes, Sebastian & Price, Simon & Sebastia Barriel, Maria, 2008. "The elasticity of substitution: evidence from a UK firm-level data set," Bank of England working papers 348, Bank of England.
    60. repec:hal:spmain:info:hdl:2441/3lt9cev6r09aqpj1a1248i83gg is not listed on IDEAS
    61. Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 2011. "A New Approach to Estimating Production Function Parameters: The Elusive Capital–Labor Substitution Elasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 587-594.
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    Keywords

    Manufacturing industries; Technology - Economic aspects;

    JEL classification:

    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution

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