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La fonction de production et les données canadiennes

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Author Info
Patrick Perrier
Abstract

This study has two aspects. First, the author examines the theoretical properties of the constant elasticity of substitution (CES) production function and the implications of this formulation for the properties of a structural macroeconomic model. He then seeks to determine whether Canadian macroeconomic data correlate better with a CES production function with an elasticity of substitution between labour and capital equal to one, which would be the case with a Cobb-Douglas function, or with a CES function whose elasticity of substitution is different from one. Cobb-Douglas-type production functions have some very attractive properties, which is probably why they are so widely used in macroeconomic models. Referring to results from previous studies, the author demonstrates that it is possible to retain these properties when using a CES production function with an elasticity of substitution different from one, provided it features constant returns to scale and that technological progress only increases the efficiency of the labour factor. In terms of empirical analysis, the estimation frameworks used in this study and applied to Canadian macroeconomic data yield an elasticity of substitution of capital for labour lying between 0.4 and 0.6, or well below one. Most of the tests reject use of the Cobb-Douglas formulation for representing Canadian data. These results suggest that capital and labour are much more complementary than is assumed by a Cobb-Douglas production function.

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Paper provided by Bank of Canada in its series Working Papers with number 05-20.

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Length: 56 pages
Date of creation: 2005
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Handle: RePEc:bca:bocawp:05-20

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Keywords: Economic models;

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Find related papers by JEL classification:
E23 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Production
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
D24 - Microeconomics - - Production and Organizations - - - Production; Capital and Total Factor Productivity; Capacity

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc. [Downloadable!]
    Other versions:
  3. Coletti, D. & Hunt, B. & Rose, D. & Tetlow, R., 1996. "The Bank of Canada's New Quarterly Projection Model. Part 3 , the Dynamic Model : QPM," Technical Reports 75, Bank of Canada. [Downloadable!]
  4. repec:fth:bfdipa:10/2001 is not listed on IDEAS
  5. 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. [Downloadable!] (restricted)
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  6. Kongsamut, Piyabha & Rebelo, Sergio & Xie, Danyang, 2001. "Beyond Balanced Growth," Review of Economic Studies, Blackwell Publishing, vol. 68(4), pages 869-82, October.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Elekdag, Selim & Lalonde, Rene & Laxton, Doug & Muir, Dirk & Pesenti, Paolo, 2008. "Oil Price Movements and the Global Economy: A Model-Based Assessment," CEPR Discussion Papers 6700, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. Rene Lalonde & Dirk Muir, 2007. "The Bank of Canada's Version of the Global Economy Model (BoC-GEM)," Technical Reports 98, Bank of Canada. [Downloadable!]
  3. Danny Leung, 2008. "Markups in Canada: Have They Changed and Why?," Working Papers 08-7, Bank of Canada. [Downloadable!]
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