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Endogenous capital stock and depreciation in the United States

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  • F. J. Escribá‐Pérez
  • M. J. Murgui‐García
  • J. R. Ruiz‐Tamarit

Abstract

There are several puzzles and unresolved problems in empirical economics that depend on the reliability of capital series. Productivity paradoxes, and certain recent trends in the US macroeconomic data, cannot be addressed correctly with the available standard measures of capital stock. Our paper contributes to the theory of capital by endogenizing capacity utilization and depreciation in an intertemporal optimization model with adjustment and maintenance costs. This model allows for corporate taxation and identifies the impact on the variables that shape the capital accumulation process. Depreciation is a control variable that is no longer assumed proportional to the capital stock. The model provides a system of equations that we run empirically with a data set of the US economy for the period 1960–2016. We obtain an empirical measure of the depreciation rate and the capital stock based on profitability and market values. They are economic estimations that consider the entire capital deterioration and obsolescence. Aggregate capital stock is a key variable in the description of the economy, and our results, which better fit the foundations of economic theory, can provide policymakers with a good understanding of the field in which specific public policy measures are to be implemented.

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  • F. J. Escribá‐Pérez & M. J. Murgui‐García & J. R. Ruiz‐Tamarit, 2023. "Endogenous capital stock and depreciation in the United States," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 139-167, February.
  • Handle: RePEc:bla:jpbect:v:25:y:2023:i:1:p:139-167
    DOI: 10.1111/jpet.12582
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    1. Albonico, Alice & Kalyvitis, Sarantis & Pappa, Evi, 2014. "Capital maintenance and depreciation over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 273-286.
    2. Hulten, Charles R, 1992. "Growth Accounting When Technical Change Is Embodied in Capital," American Economic Review, American Economic Association, vol. 82(4), pages 964-980, September.
    3. Raouf Boucekkine & Ramón Ruiz-Tamarit, 2003. "Capital Maintenance and Investment: Complements or Substitutes?," Journal of Economics, Springer, vol. 78(1), pages 1-28, January.
    4. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2420-2439, December.
    5. Chia-Hui Lu & Been-Lon Chen, 2015. "Optimal Capital Taxation in a Neoclassical Growth Model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(2), pages 257-269, April.
    6. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
    7. Chad Syverson, 2017. "Challenges to Mismeasurement Explanations for the US Productivity Slowdown," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 165-186, Spring.
    8. John G. Fernald, 2015. "Productivity and Potential Output before, during, and after the Great Recession," NBER Macroeconomics Annual, University of Chicago Press, vol. 29(1), pages 1-51.
    9. Ellen R. McGrattan & James A. Schmitz, 1999. "Maintenance and repair: too big to ignore," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 23(Fall), pages 2-13.
    10. Feldstein, Martin S & Rothschild, Michael, 1974. "Towards an Economic Theory of Replacement Investment," Econometrica, Econometric Society, vol. 42(3), pages 393-423, May.
    11. Robert S. Chirinko, 1992. "Business Fixed Investment Spending: A Critical survey of Modeling Strategies, Empirical Results, and Policy Implications," Working Papers 9213, Harris School of Public Policy Studies, University of Chicago.
    12. Pierre‐Richard Agénor, 2009. "Infrastructure Investment and Maintenance Expenditure: Optimal Allocation Rules in a Growing Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(2), pages 233-250, April.
    13. John Fernald, 2018. "Is Slow Productivity and Output Growth in Advanced Economies the New Normal?," International Productivity Monitor, Centre for the Study of Living Standards, vol. 35, pages 138-148, Fall.
    14. Dale Jorgenson, 1967. "The Theory of Investment Behavior," NBER Chapters, in: Determinants of Investment Behavior, pages 129-175, National Bureau of Economic Research, Inc.
    15. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    16. Steven M. Fazzari & R. Glenn Hubbard & Bruce C. Petersen, 1988. "Financing Constraints and Corporate Investment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 141-206.
    17. Patrick Musso, 2004. "Productivity Slowdown and Resurgence. The Role of Capital Obsolescence," Revue économique, Presses de Sciences-Po, vol. 55(6), pages 1215-1239.
    18. Patrick Musso, 2006. "Capital Obsolescence, Growth Accounting and Total Factor Productivity," Revue de l'OFCE, Presses de Sciences-Po, vol. 97(5), pages 217-233.
    19. Oulton, Nicholas, 2007. "Investment-specific technological change and growth accounting," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1290-1299, May.
    20. Nickell, Stephen, 1975. "A closer look at replacement investment," Journal of Economic Theory, Elsevier, vol. 10(1), pages 54-88, February.
    21. Sarantis Kalyvitis, 2006. "Another look at the linear q model: an empirical analysis of aggregate business capital spending with maintenance expenditures," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 39(4), pages 1282-1315, November.
    22. Daron Acemoglu & David Autor & David Dorn & Gordon H. Hanson & Brendan Price, 2014. "Return of the Solow Paradox? IT, Productivity, and Employment in US Manufacturing," American Economic Review, American Economic Association, vol. 104(5), pages 394-399, May.
    23. Eggertsson, Gauti B. & Robbins, Jacob A. & Wold, Ella Getz, 2021. "Kaldor and Piketty’s facts: The rise of monopoly power in the United States," Journal of Monetary Economics, Elsevier, vol. 124(S), pages 19-38.
    24. Motahar, Eshragh, 1992. "Endogenous capital utilization and the q theory of investment," Economics Letters, Elsevier, vol. 40(1), pages 71-75, September.
    25. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
    26. Mukoyama, Toshihiko, 2008. "Endogenous depreciation, mismeasurement of aggregate capital, and the productivity slowdown," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 513-522, March.
    27. Olivier Blanchard & Changyong Rhee & Lawrence Summers, 1993. "The Stock Market, Profit, and Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 115-136.
    28. Dale W. Jorgenson, 1966. "The Embodiment Hypothesis," Journal of Political Economy, University of Chicago Press, vol. 74(1), pages 1-1.
    29. Raouf Boucekkine & Fernando del Río & Blanca Martínez, 2009. "Technological progress, obsolescence, and depreciation," Oxford Economic Papers, Oxford University Press, vol. 61(3), pages 440-466, July.
    30. David M. Byrne & John G. Fernald & Marshall B. Reinsdorf, 2016. "Does the United States Have a Productivity Slowdown or a Measurement Problem?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 47(1 (Spring), pages 109-182.
    31. Thomas I. Renström & Luca Spataro, 2021. "Optimal taxation in an endogenous growth model with variable population and public expenditure," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(4), pages 639-659, August.
    32. 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.
    33. John Creedy & Norman Gemmell, 2017. "Taxation And The User Cost Of Capital," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 201-225, February.
    34. Abel, Andrew B., 1990. "Consumption and investment," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 14, pages 725-778, Elsevier.
    35. Minwook Kang & Lei Sandy Ye, 2019. "Present bias and corporate tax policies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(2), pages 265-290, April.
    36. Hercowitz, Zvi, 1998. "The 'embodiment' controversy: A review essay," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 217-224, February.
    37. Sarantis Kalyvitis, 2006. "model: an empirical analysis of aggregate business capital spending with maintenance expenditures," Canadian Journal of Economics, Canadian Economics Association, vol. 39(4), pages 1282-1315, November.
    38. Spencer Bastani & Daniel Waldenström, 2020. "How Should Capital Be Taxed?," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 812-846, September.
    39. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    40. Greenwood, Jeremy & Krusell, Per, 2007. "Growth accounting with investment-specific technological progress: A discussion of two approaches," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1300-1310, May.
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