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Estimation of the Depreciation Rate of Physical and R&D Capital in the U.S. Total Manufacturing Sector

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  • M. Ishaq Nadiri
  • Ingmar R. Prucha

Abstract

Numerous studies on production and cost, the sources of productivity and studies on endogenous growth have recognized the pivotal role of the physical capital stock. Also there is a clear recognition by economists and policy makers that knowledge capital approximated by R&D capital is crucial for productivity growth and the transformation of the industrial structure of an economy. Critical to these contributions of physical and R&D capital is the measurement of the stocks of physical and R&D capital, which in turn requires measuring their depreciation rates. In this paper we have specified a model of factor demand that allows for estimating the depreciation rate of both physical and R&D capital jointly with the other model parameters. The model was estimated for the U.S. total manufacturing sector. Our estimate for the depreciation rate of physical capital is 0.059 and that for R&D capital is 0.12. Only gross investment data are needed to estimate the model parameters and the depreciation rates, and to generate consistent series for the stocks of physical and R&D capital.

Suggested Citation

  • M. Ishaq Nadiri & Ingmar R. Prucha, 1993. "Estimation of the Depreciation Rate of Physical and R&D Capital in the U.S. Total Manufacturing Sector," NBER Working Papers 4591, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:4591
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    1. Jeffrey I. Bernstein & M. Ishaq Nadiri, 1988. "Corporate Taxes and Incentives and the Structure of Production: A Selected Survey," NBER Working Papers 2579, National Bureau of Economic Research, Inc.
    2. Bernstein, Jeffrey I & Nadiri, M Ishaq, 1988. "Interindustry R&D Spillovers, Rates of Return, and Production in High-Tech Industries," American Economic Review, American Economic Association, vol. 78(2), pages 429-434, May.
    3. Zvi Griliches, 1998. "Returns to Research and Development Expenditures in the Private Sector," NBER Chapters,in: R&D and Productivity: The Econometric Evidence, pages 49-81 National Bureau of Economic Research, Inc.
    4. W. Erwin Diewert, 1980. "Aggregation Problems in the Measurement of Capital," NBER Chapters,in: The Measurement of Capital, pages 433-538 National Bureau of Economic Research, Inc.
    5. Bernstein, Jeffrey I. & Nadiri, M. Ishaq, 1990. "Product Demand, Cost Of Production, Spillovers And The Social Rate Or Return To R&D," Working Papers 90-53, C.V. Starr Center for Applied Economics, New York University.
    6. Romer, Paul M, 1990. "Are Nonconvexities Important for Understanding Growth?," American Economic Review, American Economic Association, vol. 80(2), pages 97-103, May.
    7. Pakes, Ariel & Schankerman, Mark A., 1978. "The Rate of Obsolescence of Knowledge, Research Gestation Labs, and the Private Rate of Return to Research Resources," Working Papers 78-13, C.V. Starr Center for Applied Economics, New York University.
    8. Epstein, L. & Denny, M., 1980. "Endogenous capital utilization in a short-run production model : Theory and an empiral application," Journal of Econometrics, Elsevier, vol. 12(2), pages 189-207, February.
    9. Morrison, C. J. & Berndt, E. R., 1981. "Short-run labor productivity in a dynamic model," Journal of Econometrics, Elsevier, vol. 16(3), pages 339-365, August.
    10. Mohnen, Pierre A. & Nadiri, M. Ishaq & Prucha, Ingmar R., 1986. "R&D, production structure and rates of return in the U.S., Japanese and German manufacturing sectors: A non-separable dynamic factor demand model," European Economic Review, Elsevier, vol. 30(4), pages 749-771, August.
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