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Endogenous Capital Utilization and Productivity Measurement in Dynamic Factor Demand Models: Theory and an Application to the U.S. Electrical..

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  • Ingmar R. Prucha
  • M. Ishaq Nadiri

Abstract

Studies of the firm's demand for factor inputs often assume a constant rate of utilization of the inputs and ignore the fact that the firm can simultaneously choose the level and the rate of utilization of its inputs. In particular, the literature on dynamic factor demand models has, until recently, largely overlooked the issue of capital utilization and/or did not distinguish carefully between the distinct concepts of capital and capacity utilization. In this paper we allow for variations in the rate of capital utilization within the context of a dynamic factor demand model by adopting a modeling framework within which the firm combines its beginning-of-period stocks with other inputs to produce its outputs as well as its end-of-period stocks. We also derive measures of productivity and capacity utilization for the adopted modeling framework. Given the depreciation rate is endogenous a consistent capital stock series must be generated during estimation from the investment data. This yields, as a byproduct, a consistent decon1position of gross investment into replacement and expansion investment. As an illustration, the model is applied to U.S. Electrical Machinery data.

Suggested Citation

  • Ingmar R. Prucha & M. Ishaq Nadiri, 1991. "Endogenous Capital Utilization and Productivity Measurement in Dynamic Factor Demand Models: Theory and an Application to the U.S. Electrical..," NBER Working Papers 3680, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:3680
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    Cited by:

    1. Doms, Mark E, 1996. "Estimating Capital Efficiency Schedules within Production Functions," Economic Inquiry, Western Economic Association International, vol. 34(1), pages 78-92, January.
    2. M. Ishaq Nadiri, 1993. "Innovations and Technological Spillovers," NBER Working Papers 4423, National Bureau of Economic Research, Inc.
    3. Nadiri, M Ishaq & Prucha, Ingmar R, 1996. "Estimation of the Depreciation Rate of Physical and R&D Capital in the U.S. Total Manufacturing Sector," Economic Inquiry, Western Economic Association International, vol. 34(1), pages 43-56, January.

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