Bitros, George C. (2009): The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Applicability.
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Abstract
This paper surveys and assesses the empirical literature that bears on the applicability of the theorem of proportionality, which asserts that depreciation is proportional to the outstanding capital stock. All available evidence shows that: a) the rates of depreciation and retirements vary from year to year in response to changes in conventional economic forces like utilization, maintenance and repair, the prices of new capital goods, etc., and b) while the approximation of the distribution of depreciation rates by a single parameter may be characterized by simplicity and ease of use, at the same time it thwarts the advances that can be achieved by returning to a general equilibrium model centered on the time structure of capital and the useful lives of its components. For this reason, it is concluded that, the sooner this theorem is replaced by an endogenous theory of depreciation and replacement, the better for economic theory and policy.
Item Type: | MPRA Paper |
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Original Title: | The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Applicability |
Language: | English |
Keywords: | Capital longevity, replacement, depreciation, scrappage, maintenance, utilization, obsolescence |
Subjects: | E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E22 - Investment ; Capital ; Intangible Capital ; Capacity |
Item ID: | 17821 |
Depositing User: | George Bitros |
Date Deposited: | 12 Oct 2009 14:15 |
Last Modified: | 03 Oct 2019 17:51 |
References: | 1. Barnhart, S. W. and Miller, E. M. (1990) “Problems in the Estimation of Equations Containing Perpetual Inventory Measured Capital,” Journal of Macroeconomics, 12, 637-651. 2. Bischoff, C. W. and Kokkenlenberg, E. C., (1987), “Capital Utilization and De-preciation in Use,” Applied Economics, 19, 995-1007. 3. Biorn, E., (1992), “Concave survival and efficiency curves for capital and the form of age-price profiles,” University of Oslo, Memorandum from the Department of Economics, No. 6/1992. 4. ---------------, (1998), “Survival and Efficiency Curves for Capital and the time-age profile of vintage prices,” Empirical Economics, 23, 611-633. 5. Bitros, G. C., (2009), “The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations,” Athens University of Economics and Business, Department of Economics, Discussion Paper No. 195. 6. ---------------, (2008), “The optimal lifetime of assets under uncertainty in the rate of embodied technical change,” Metroeconomica, 59, 173-188. 7. --------------, (1976a), “A Statistical Theory of Expenditures in Capital Maintenance and Repair”, Journal of Political Economy, 84, 1976, 917-936. 8. ---------------, (1976b), “A Model and Some Evidence on the Interrelatedness of Decisions Underlying the Demand for Capital Services”, European Economic Review, 7, 377-393. 9. ---------------- and Kelejian, H. H., (1974), "On the Variability of the Replacement Investment Capital Stock Ratio: Some Evidence from Capital Scrappage", Review of Economics and Statistics, LVI, 270-278. 10. Bu, Y., (2006), “Fixed capital stock depreciation in developing countries: Some evidence from firm level data,” Journal of Development Studies, 42, 881-901. 11. Burnside, C. and Eichenbaum, M., (1993), “Factor-Hoarding and the Business Cycle,” Journal of Political Economy, 1001, 245-272. 12. -----------------, (1996), “Factor-Hoarding and the Propagation of Business-Cycle Shocks,” American Economic Review, 86, 1154-1174. 13. Caballero, R., Engel, M. R. A., Haltiwanger, J. C., Woodford, M., and Hall, R. E., (1995), “Plant-Level Adjustment and Aggregate Investment Dy-namics,” Brookings Papers on Economic Activity, 1995, 1-54. 14. Caballero, R. and Hammour, M., (1994), “The Cleansing Effect of Recessions,” American Economic Review, 84, 1350-1368. 15. ----------------, (1996), “On the Timing and Efficiency of Creative Destruction,” Quarterly Journal of Economics, 111, 805-852. 16. Cagan, P., (1965), Measuring Quality Changes and Purchasing Power of Money,” An Exploratory Study of Automobiles,” National Banking Review, III, 217-236. 17. Cho, S. and Rust, J., (2008), “Is econometrics useful for private policy making? A case study of replacement policy at an auto rental company,” Journal of econometrics, 145, 243-257. 18. Cockburn, I. and Frank, M., (1992), “Market Conditions and Retirement of Physical Capital,” NBER Working Paper No. 4194. 19. Coen, R. M., (1975), “Investment behavior, the measurement of depreciation, and tax policy,” American Economic Review, 65, 59-74. 20. -----------------, (1980), “ Alternative Measures of Capital and Its Rate of Return in United States manufacturing,” in D. Usher, (ed.), The Measurement of Capital, Chicago: The University of Chicago Press. 21. Cowing, T. and Smith, K. (1977) “A Note on the Variability of the Replacement Investment Capital Stock Ratio,” Review of Economics Studies, 59, 238-243. 22. Dean, B. V., (1962), “Replacement Theory,” in R. L. Ackoff (ed.) Progress In Operations Research, New York: J. Wiley & Sons, 330-362. 23. Doms, M. E., (1996), “Estimating Capital Efficiency Schedules within Production Functions,” Economic Inquiry, 34, 78-92. 24. Dueker, M. J. and Fischer, A. M., (2003), “Fixing Swiss Potholes: The Importance of Improvements,” Federal Reserve Bank of St. Louis, Working Paper 2001-025B. 25. Eilon, S., King, J. R. and Hutchinson, D. E., (1966), “ A Study in Equipment Re-placement,” Operations Research Quarterly, 17, 59-71. 26. Eisner, R., (1952), “Depreciation Allowances, Replacement Requirements and Growth,” American Economic Review, 42, 820-831. 27. -------------, (1972), “Components of Capital Expenditures: Replacement and Modernization Versus Expansion,” Review of Economics and Statistics, 54, 297-305. 28. Epstein, L. and Denny, M., (1980), “Endogenous Capital Utilization in a Short-Run Production Model,” Journal of Econometrics, 12, 189-207. 29. Esteban, s., (2007). “Effective Scrappage Subsidies,” B. E. Journal of Theoretical Eco-nomics, 7, 1-30. 30. Everson, C. K., (1982), “ Dynamic demand for utilization, maintenance, installations and retirements of railroad freight cars,” International Economic Review, 23, 429-446. 31. Feldstein, M. S., (1972/1974), “Tax Incentives, Stabilization Policy, and The Proportional Replacement Hypothesis: Some Negative Conclusions,” Southern Economic Journal, 40, 544-552. This paper appeared under the same title in 1972 as Discussion Paper Number 249, Harvard Institute of Economic Research. 32. ---------------- and Foot, D. K., (1971), “The Other Half of Gross Investment: Replacement and Modernization Expenditures”, Review of Economics and Statistics, 53, 49-58. 33. Goolsbee, A., (1998), “The Business Cycle, Financial Performance, and the Re-tirement of Capital Goods,” Review of Economic Dynamics, 1, 474-496. 34. Greenwood, J., Herkowitz, Z., and Huffman, G. W., (1988), “Investment, Capacity Utilization, and the Real Business Cycle,” American Economic Review, 78, 402-417. 35. Griliches, Z., (1960), “The Demand for a Durable Input: U.S. Farm Tractors 1921-1957,” in A. C. Harberger, (ed.), The Demand for Durable Goods, Chicago: University of Chicago Press, 1960, 181-210. 36. Gylfanson, T. and Zoega, G., (2001), “Obsolescence,” Centre for Economic Policy Research, Discussion Paper 2833. 37. Hall, R. E., (1971), “The Measurement of Quality Change from Vintage Price Data,” in Z. Griliches (ed.), Price Indexes and Quality Change, Cambridge: Harvard University Press, 240-271. 38. Hernadez, J. A. and Mauleon, I., (2005), “Econometric estimation of a variable rate of depreciation of the capital stock,” Empirical Economics, 30, 575-595. 39. Hotelling, H., (1925), “A General Mathematical Theory of Depreciation”, Journal of the American Statistical Association, Vol. 20, 1925, p.p. 340-353. 40. Hulten, C. R. and Wykoff, F., (1981a), “The Estimation of Economic depreciation Using Vintage Asset Prices,” Journal of Econometrics, 15, 367-396. 41. --------------------, (1981b), “Economic depreciation and the taxation of structures in the United States manufacturing industries: An empirical Analysis,” in D. Usher (ed.), The Measurement of Capital, Chicago: University of Chicago Press, 83-120. 42. --------------------, (1981c), “The measurement of economic depreciation,” in C. R. Hulten, (ed.), Depreciation, Inflation and the Taxation of Income from Capital, Washington: The Urban Institute Press, 81-125. 43. -----------------, (1996), “Issues in the Measurement of Economic Depreciation,” Economic Inquiry, 34, 10-23. 44. -----------------, Robertson, J.W. and Wykoff, F. (1989) “Energy, Obsolescence, and the Productivity Slowdown,” in D. W. Jorgenson and R. Landau (eds.) Technology and Capital Formation, Cambridge MA: MIT Press, 225-258. 45. Jin, D and Kite-Powell, H. L., (1999), “ Optimal fleet utilization and replacement”, Transportation Research, Part E, 36, 3-20. 46. Jorgenson, D. W. (1963) “Capital Theory and Investment Behavior,” American Economic Review, 52, 247-259. 47. -----------------, (1965), “Anticipations and Investment Behavior,” in The Brookings Quarterly Econometric Model of the United States. 48. -----------------, (1974), “The Economic Theory of Replacement and Depreciation,” in W. Sellekaerts (ed.) Econometrics and Economic Theory: Essays in Honour of Jan Tinbergen, New York: International Arts and Sciences Press. From Feldstein (1974) it follows that he was aware of this paper as forthcoming from 1972. 49. -------------------, (1994/1996), “Empirical studies of depreciation,” Harvard Institute of Economic Research, Discussion Paper 1704. This paper was published under the same title in the journal Economic Inquiry, 34, 24-41. 50. ----------------- and Stephenson, J., (1967), “Investment Behavior in U. S. Manufacturing, 1947-1970,” Econometrica, 35, 169-200. 51. -----------------------, (1969), “Issues in the Development of the Neoclassical Theory of Investment,” Review of Economics and Statistics, 51, 346-353. 52. Jovanovic, B. and Tse, C. Y., (2007), “Creative destruction in Industries,” available in the world-wide-web. 53. Kim, M., (1988), “The Structure of Technology with Endogenous Utilization,” International Economic Review, 29, 111-130. 54. Kollintzas, T. and Choi, J. B., (1985), “ A linear Rational Expectations Model of Aggregate Investment with Endogenous Capital Utilization and Maintenance,” Unpublished mimeo, State University of New York. 55. Kopcke, R. W. and Brauman, R. S., (2001), “The Performance of Traditional Macroeconomic Models of Businesses’ Investment Spending,” New England Economic Review, 2, 3-39. 56. Kronmal, R. A., (1993), “Spurious Correlation and the Fallacy of the Ratio Standard Revisited,” Journal of the Royal Statistical Society, Series A, 156, 379-392. 57. Leontief, W., (1971), “Theoretical Assumptions and Nonobserved Facts,” American Economic Review, 61, pp. 1-7. 58. Licandro, O. and Puch, L. A. (2000) “Capital Utilization, Maintenance Costs and Business Cycle,” Annales d’ Economie et de Statistique, 58, 144-164. 59. Lioukas, S. K. (1982) “The Cyclical Behaviour of Capital Retirement: Some New Evidence,” Applied Economics, 14, 73-79. 60. Meyer, J. R. and Kuh, E., (1957), The investment decision: An empirical study, Cambridge Mass.: Harvard University Press. 61. Miller, E. M., (1990), “Can a Perpetual Inventory Capital Stock be used for Production Function Parameter Estimation?” Review of Income and Wealth, 36, 67-82. 62. -----------------, (1982), “Capital Aggregation in the Presence of Obsolescence-Inducing Technical Change,” Review of Income and Wealth, 29, 284-296. 63. Mullen, J. K. and Williams, M., (2004), “Maintenance and repair expenditures: deter-minants and tradeoff with new capital,” Journal of Economics and Business, 56, 483-499. 64. Nadiri, M. I. and Prucha, I. R., (1996), “Estimation of the Depreciation rate of Physical and R&D Capital in U. S. Total Manufacturing Sector,” Eco-nomic Inquiry, 34, 43-56. 65. Nelson, R. A. and Caputo, M. R. (1997) Price Changes, Maintenance, and the Rate of Depreciation,” Review of Economics and Statistics, 79, 422-430. 66. O’Herlihy, C. St. J., (1965), “The Demand for Cars in Great Britain”, Journal of the Royal Statistical Society, Series C, Applied Statistics, 15, 162-195. 67. Oliner, S. D., (1996), “New Evidence on the Retirement and Depreciation of Machine Tools,” Economic Inquiry, 34, 57-77. 68. Pakes, A. and Griliches, Z., (1984), “Estimating Distributed Lags in Short Panels with an Application to the Specification of Depreciation Patterns and Capital Stock Constructs,” Review of Economic Studies, 51, 243-262. 69. Papandreou, A. G., (1958), Economics as a Science, Philadelphia: Lippincott. 70. Parks, R. W., (1977), “ Determinants of Scrapping Rates for Postwar Vintage Automobiles,” Econometrica, 45, 1099-1115. 71. -----------------, (1979), “Durability, Maintenance and the Price of Used Assets,” Economic Enquiry, 17, 197-217. 72. Preinreich, G. A. D., (1940), “The Economic Life of Industrial Equipment”, Econometrica, Vol. 8, 1940, p.p. 12-44. 73. Prucha, I., (1997), “Estimation of a variable rate of depreciation: A dummy variable approach,” Structural Change and Economic Dynamics, 8, 319-325. 74. ------------------- and Nadiri, M. I., (1996), “Endogenous capital utilization and productivity measurement in dynamic factor demand models: Theory and an application to the U. S. electrical machinery industry,” Journal of Econometrics, 71, 343-379. 75. Rust, J. (1987) “Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher,” Econometrica, 55, 999-1033. 76. Salvanes, K. G. and Tveteras, R., (2004),“ Plant exit, vintage capital and the business cycle”, Journal of Industrial economics, 52, 255-276. 77. Schumpeter, J. A., (1954), History of Economic Analysis, New York: Oxford University Press. 78. Smith, R. P., (1974), “Note on Car Replacement.” Review of Economic Studies, 41, 567-570. 79. Smith, V. L., (1957), “Economic Equipment Policies: An Evaluation.” Management Science, 4, 20-37. 80. -----------------, (1961) Investment and Production: A Study in the Theory of the Capital-Using Enterprise, Cambridge, Mass: Harvard University Press. 81. Terborgh, G., (1949), Dynamic Equipment Policy, New York: McGraw-Hill. 82. Tevlin, S. and Whelan, K., (2003), “Explaining the investment boom of the 1990s,” Journal of Money, Credit, and Banking, 35, 1-22. 83. Waldman, M. (1993) “A New Perspective on Planned Obsolescence,” Quarterly Journal of Economics, 108, 273-283. 84. Walker, F. V., (1968), “Determinants of Auto Scrappage,” Review of Economics and Statistics, 50, 503-506. 85. Wykoff, F., (1970), “Capital Depreciation in the Postwar Period: Automobiles,” Review of Economics and Statistics, 52, 168-72. 86. -----------------, (1989), “Economic Depreciation and the User Cost of Business-leased Automobiles,” in D. W. Jorgenson and R. Landau, (eds.), Technology and Capital Formation, Cambridge: MIT Press, 259-292. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/17821 |