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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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    1. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, vol. 42(3), pages 393-423, May.
    2. Kokkelenberg, Edward C., 1984. "The specification and estimation of interrelated factor demands under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 7(3), pages 181-207, September.
    3. Nadiri, M Ishaq & Rosen, Sherwin, 1969. "Interrelated Factor Demand Functions," American Economic Review, American Economic Association, vol. 59(4), pages 457-471, Part I Se.
    4. Jeffrey I. Bernstein, 1983. "Investment, Labour Skills, and Variable Factor Utilization in the Theory of the Firm," Canadian Journal of Economics, Canadian Economics Association, vol. 16(3), pages 463-479, August.
    5. 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.
    6. Lau, Lawrence J., 1976. "A characterization of the normalized restricted profit function," Journal of Economic Theory, Elsevier, vol. 12(1), pages 131-163, February.
    7. Catherine J. Morrison, 1985. "On the Economic Interpretation and Measurement of Optimal Capacity Utilization with Anticipatory Expectations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 295-309.
    8. Douglas W. Caves & Laurits R. Christensen & Joseph A. Swanson, 1980. "Productivity in U.S. Railroads, 1951-1974," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 166-181, Spring.
    9. Bitros, George C & Kelejian, Harry H, 1974. "On the Variability of the Replacement Investment Capital Stock Ratio: Some Evidence from Capital Scrappage," The Review of Economics and Statistics, MIT Press, vol. 56(3), pages 270-278, August.
    10. 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.
    11. Bernstein, Jeffrey I. & Nadiri, M. Ishaq, 1987. "Investment, Depreciation and Capital Utilization," Working Papers 87-08, C.V. Starr Center for Applied Economics, New York University.
    12. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    13. Caves, Douglas W & Christensen, Laurits R & Swanson, Joseph A, 1981. "Productivity Growth, Scale Economies, and Capacity Utilization in U.S. Railroads, 1955-74," American Economic Review, American Economic Association, vol. 71(5), pages 994-1002, December.
    14. 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.
    15. Usher, Dan (ed.), 1980. "The Measurement of Capital," National Bureau of Economic Research Books, University of Chicago Press, number 9780226843001, September.
    16. Dale W. Jorgenson, 1974. "The Economic Theory of Replacement and Depreciation," Palgrave Macmillan Books, in: Willy Sellekaerts (ed.), Econometrics and Economic Theory, chapter 10, pages 189-221, Palgrave Macmillan.
    17. Prucha, Ingmar R. & Nadiri, M. Ishaq, 1986. "A comparison of alternative methods for the estimation of dynamic factor demand models under non-static expectations," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 187-211.
    18. Prucha, Ingmar R. & Nadiri, M. Ishaq, 1988. "On the computation of estimators in systems with implicity defined variables," Economics Letters, Elsevier, vol. 26(2), pages 141-145.
    19. Morrison, Catherine J., 1986. "Productivity measurement with non-static expectations and varying capacity utilization : An integrated approach," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 51-74.
    20. Shapiro, Matthew D, 1986. "Capital Utilization and Capital Accumulation: Theory and Evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(3), pages 211-234, July.
    21. Berndt, Ernst R. & Fuss, Melvyn A., 1989. "Economic capacity utilization and productivity measurement for multiproduct firms with multiple quasi-fixed inputs," Working papers 3001-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    22. Hulten, Charles R., 1986. "Productivity change, capacity utilization, and the sources of efficiency growth," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 31-50.
    23. Feldstein, Martin S & Foot, David K, 1971. "The Other Half of Gross Investment: Replacement and Modernization Expenditures," The Review of Economics and Statistics, MIT Press, vol. 53(1), pages 49-58, February.
    24. Winston, Gordon C, 1974. "The Theory of Capital Utilization and Idleness," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1301-1320, December.
    25. 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.
    26. Betancourt,Roger R. & Clague,Christopher K., 2008. "Capital Utilization," Cambridge Books, Cambridge University Press, number 9780521070287.
    27. Berndt, Ernst R. & Fuss, Melvyn A., 1986. "Productivity measurement with adjustments for variations in capacity utilization and other forms of temporary equilibrium," Journal of Econometrics, Elsevier, vol. 33(1-2), pages 7-29.
    28. Madan, Dilip B. & Prucha, Ingmar R., 1989. "A note on the estimation of nonsymmetric dynamic factor demand models," Journal of Econometrics, Elsevier, vol. 42(2), pages 275-283, October.
    29. Catherine J. Morrison, 1989. "Unraveling the Productivity Growth Slowdown in the U.S., Canada and Japan: The Effects of Subequilibrium, Scale Economies and Markup," NBER Working Papers 2993, National Bureau of Economic Research, Inc.
    30. Eisner, Robert, 1972. "Components of Capital Expenditures: Replacement and Modernization Versus Expansion," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 297-305, August.
    31. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    32. Nadiri, M Ishaq & Schankerman, M A, 1981. "Technical Change, Returns to Scale, and the Productivity Slowdown," American Economic Review, American Economic Association, vol. 71(2), pages 314-319, May.
    33. Epstein, Larry G. & Yatchew, Adonis J., 1985. "The empirical determination of technology and expectations : A simplified procedure," Journal of Econometrics, Elsevier, vol. 27(2), pages 235-258, February.
    34. Morrison, Catherine J, 1985. "Primal and Dual Capacity Utilization: An Application to Productivity Measurement in the U.S. Automobile Industry," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(4), pages 312-324, October.
    35. Honkapohja, Seppo & Kanniainen, Vesa, 1985. "Adjustment Costs, Optimal Capacity Utilization, and the Corporation Tax," Oxford Economic Papers, Oxford University Press, vol. 37(3), pages 486-499, September.
    36. Andrew B. Abel, 1981. "A Dynamic Model of Investment and Capacity Utilization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 96(3), pages 379-403.
    37. Dan Usher, 1980. "The Measurement of Capital," NBER Books, National Bureau of Economic Research, Inc, number ushe80-1.
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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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