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Is the U.S. Aggregate Production Function Cobb-Douglas? New Estimates of the Elasticity of Substitution

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  • Antràs Pol

    ()
    (Harvard University)

Abstract

I present new estimates of the elasticity of substitution between capital and labor using data from the private sector of the U.S. economy for the period 1948-1998. I first adopt Berndt's (1976) specification, which assumes that technological change is Hicks neutral. Consistently with his results, I estimate elasticities of substitution that are not significantly different from one. I next show, however, that restricting the analysis to Hicks-neutral technological change necessarily biases the estimates of the elasticity towards one. When I modify the econometric specification to allow for biased technical change, I obtain significantly lower estimates of the elasticity of substitution. I conclude that the U.S. economy is not well described by a Cobb-Douglas aggregate production function. I present estimates based on both classical regression analysis and time series analysis. In the process, I deal with issues related to the nonsphericality of the disturbances, the endogeneity of the regressors, and the nonstationarity of the series involved in the estimation.

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Article provided by De Gruyter in its journal The B.E. Journal of Macroeconomics.

Volume (Year): 4 (2004)
Issue (Month): 1 (April)
Pages: 1-36

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Handle: RePEc:bpj:bejmac:v:contributions.4:y:2004:i:1:n:4

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  1. Acemoglu, Daron, 2002. "Directed Technical Change," Review of Economic Studies, Wiley Blackwell, vol. 69(4), pages 781-809, October.
  2. Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation for Research in Economics, Yale University.
  3. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
  4. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
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