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Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/1154
Title: On production functions, technical progress, and time trends
Authors: Felipe, Jesus
Holz, Carsten A.
Keywords: Accounting identity
Cobb-Douglas production function
Random walk
Spurious regression
Trend stationary process
Issue Date: 24-Dec-1997
Series/Report no.: Working Papers in the Social Sciences ; No. 34
Abstract: This paper analyzes why the estimation of the aggregate Cobb-Douglas production function usually yields good fits, parameter estimates consistent with actual shares of total product received by capital and labor, and approximately constant returns to scale, as well as why the estimation of the marginal productivity condition of labor often results in a good approximation of wages. We show that if factor shares and the growth rates of wages and of the profit rate are constant over time, then fitting a Cobb-Douglas production function with an exponential time trend amounts to estimating an accounting identity. The marginal productivity condition likewise follows directly from the accounting identity. Monte Carlo simulations explore the degree to which factor shares and the growth rates of wages and of the profit rate have to vary for the estimation of the “Cobb-Douglas production function” (accounting identity) to no longer yield an appropriate approximation of the economy. Our results suggest that successful Cobb-Douglas production function estimations carry no implications for such issues as technical progress, perfect competition, and profit maximization.
URI: http://hdl.handle.net/1783.1/1154
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