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[sigma]: The long and short of it

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  • Chirinko, Robert S.

Abstract

Research on the elasticity of substitution between capital and labor - [sigma] - has been proceeding for 75 years. While there is clearly a strong case for the importance of [sigma] in the analysis of growth and other economic issues, much less agreement exists on the value of [sigma]. This paper offers some perspectives on prior estimates of [sigma], emphasizing the fundamental tension between the short-run data that are available and the long-run parameter that is required. Estimates of [sigma] based on various short-run and long-run models are discussed and, while the estimates range widely, the weight of the evidence suggests a value of [sigma] in the range of 0.40-0.60. There is little evidence to sustain the assumption of a Cobb-Douglas production function.

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  • Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    • Handle: RePEc:eee:jmacro:v:30:y:2008:i:2:p:671-686
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    as
    1. anonymous, 1995. "Does the bouncing ball lead to economic growth?," Regional Update, Federal Reserve Bank of Atlanta, issue Jul, pages 1-2,4-6.
    2. Chirinko, Robert S, 1993. "Business Fixed Investment Spending: Modeling Strategies, Empirical Results, and Policy Implications," Journal of Economic Literature, American Economic Association, vol. 31(4), pages 1875-1911, December.
    3. Caselli, Francesco, 2005. "Accounting for Cross-Country Income Differences," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 9, pages 679-741, Elsevier.
    4. Hasan Bakhshi & Nicholas Oulton & Jamie Thompson, 2003. "Modelling investment when relative prices are trending: theory and evidence for the United Kingdom," Bank of England working papers 189, Bank of England.
    5. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
    6. 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.
    7. Tevlin, Stacey & Whelan, Karl, 2003. "Explaining the Investment Boom of the 1990s," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 1-22, February.
    8. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
    9. Robert S. Chirinko, 1992. "Business Fixed Investment Spending: A Critical survey of Modeling Strategies, Empirical Results, and Policy Implications," Working Papers 9213, Harris School of Public Policy Studies, University of Chicago.
    10. King, Robert G & Rebelo, Sergio T, 1993. "Transitional Dynamics and Economic Growth in the Neoclassical Model," American Economic Review, American Economic Association, vol. 83(4), pages 908-931, September.
    11. Cummins, Jason G. & Hassett, Kevin A. & Hubbard, R. Glenn, 1996. "Tax reforms and investment: A cross-country comparison," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 237-273, October.
    12. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2008. "Unwrapping some euro area growth puzzles: Factor substitution, productivity and unemployment," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 645-666, June.
    13. Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862, Elsevier.
    14. J. R. Hicks, 1963. "The Theory of Wages," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-00189-7, August.
    15. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    16. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1988. "Financing Constraints and Corporate Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 141-206.
    17. repec:bla:scandj:v:85:y:1983:i:2:p:223-38 is not listed on IDEAS
    18. Thompson, Jamie & Hasan Bakhshi & Nick Oulton, 2003. "Modelling Investment When Relative Prices Are Trending: Theory and Evidence for the UK," Royal Economic Society Annual Conference 2003 203, Royal Economic Society.
    19. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    20. R. Glenn Hubbard, 1998. "Capital-Market Imperfections and Investment," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 193-225, March.
    21. 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.
    22. Jason G. Cummins & Kevin A. Hassett & R. Glenn Hubbard, 1994. "A Reconsideration of Investment Behavior Using Tax Reforms as Natural Experiments," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 1-74.
    23. Caballero, Ricardo J, 1994. "Small Sample Bias and Adjustment Costs," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 52-58, February.
    24. Cummins, Jason G. & Hassett, Kevin A., 1992. "The Effects of Taxation on Investment: New Evidence from Firm Level Panel Data," National Tax Journal, National Tax Association, vol. 45(3), pages 243-51, September.
    25. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    26. Jesus Felipe & Carsten Holz, 2001. "Why do Aggregate Production Functions Work? Fisher's simulations, Shaikh's identity and some new results," International Review of Applied Economics, Taylor & Francis Journals, vol. 15(3), pages 261-285.
    27. Pindyck, Robert S & Rotemberg, Julio J, 1983. "Dynamic Factor Demands and the Effects of Energy Price Shocks," American Economic Review, American Economic Association, vol. 73(5), pages 1066-1079, December.
    28. Roger E. A. Farmer, 1997. "Money in a real business cycle model," Proceedings, Federal Reserve Bank of Cleveland, issue Nov, pages 568-623.
    29. 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.
    30. Chirinko, Robert S. & Fazzari, Steven M. & Meyer, Andrew P., 1999. "How responsive is business capital formation to its user cost?: An exploration with micro data," Journal of Public Economics, Elsevier, vol. 74(1), pages 53-80, October.
    31. Smith, James, 2008. "That elusive elasticity and the ubiquitous bias: Is panel data a panacea?," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 760-779, June.
    32. Engen, Eric M. & Gravelle, Jane G. & Smetters, Kent, 1997. "Dynamic Tax Models: Why They Do the Things They Do," National Tax Journal, National Tax Association, vol. 50(3), pages 657-82, September.
    33. Abel, Andrew B & Blanchard, Olivier J, 1986. "The Present Value of Profits and Cyclical Movements in Investment," Econometrica, Econometric Society, vol. 54(2), pages 249-273, March.
    34. 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.
    35. 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.
    36. Schaller, Huntley, 2006. "Estimating the long-run user cost elasticity," Journal of Monetary Economics, Elsevier, vol. 53(4), pages 725-736, May.
    37. anonymous, 1995. "Moderate growth expected for the nation, Southeast in 1996," Regional Update, Federal Reserve Bank of Atlanta, issue Oct, pages 1-4.
    38. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    39. Xavier Sala-I-Martin, 1997. "Transfers, Social Safety Nets, and Economic Growth," IMF Staff Papers, Palgrave Macmillan, vol. 44(1), pages 81-102, March.
    40. Engen, Eric M. & Gravelle, Jane G. & Smetters, Kent, 1997. "Dynamic Tax Models: Why They Do the Things They Do," National Tax Journal, National Tax Association;National Tax Journal, vol. 50(3), pages 657-682, September.
    41. Caselli, Francesco, 2005. "Accounting for cross-country income differences," LSE Research Online Documents on Economics 3567, London School of Economics and Political Science, LSE Library.
    42. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    43. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    44. 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.
    45. Turnovsky, Stephen J., 2008. "The role of factor substitution in the theory of economic growth and income distribution: Two examples," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 604-629, June.
    46. 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.
    47. James Smith, 2008. "That elusive elasticity and the ubiquitous bias: is panel data a panacea?," Bank of England working papers 342, Bank of England.
    48. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
    49. Peter K. Clark, 1993. "Tax Incentives and Equipment Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(1), pages 317-347.
    50. Colin Ellis & Simon Price, 2004. "UK Business Investment and the User Cost of Capital," Manchester School, University of Manchester, vol. 72(s1), pages 72-93, September.
    51. Schefold, Bertram, 2008. "C.E.S. production functions in the light of the Cambridge critique," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 783-797, June.
    52. Olivier Grandville, 1997. "Curvature and the elasticity of substitution: Straightening it out," Journal of Economics, Springer, vol. 66(1), pages 23-34, February.
    53. Caselli, Francesco, 2005. "Accounting for cross-country income differences," LSE Research Online Documents on Economics 5266, London School of Economics and Political Science, LSE Library.
    54. Shaikh, Anwar, 1974. "Laws of Production and Laws of Algebra: The Humbug Production Function," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 115-120, February.
    55. Cummins, Jason G. & Hassett, Kevin A., 1992. "The Effects of Taxation on Investment: New Evidence From Firm Level Panel Data," National Tax Journal, National Tax Association;National Tax Journal, vol. 45(3), pages 243-251, September.
    56. Solow, Robert M, 1974. "Law of Production and Laws of Algebra: The Humbug Production Function: A Comment," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 121-121, February.
    57. de La Grandville, Olivier, 1989. "Erratum [In Quest of the Slutsky Diamond]," American Economic Review, American Economic Association, vol. 79(5), pages 1307-1307, December.
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