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Improving the estimation of total factor productivity growth: capital operating time in a latent variable approach

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Abstract

Measuring labor and capital services accurately is essential to obtaining reliable estimates of production functions and total factor productivity (TFP) growth. Using data on the operating time of capital, a series that exists for the French business sector, greatly improves the measurement of effective capital services in production. The ensuing estimation results are consistent with Cobb–Douglas technology under constant returns to scale, with the factor elasticities not statistically different from their income shares. In the same framework, TFP growth is estimated as a latent variable and found to be less volatile than accounting residuals, negatively correlated with employment, and free of cyclicality. It is statistically best estimated as a first-order autoregressive process, with an autoregressive coefficient of 0.95. Total factor productivity growth was estimated to have declined steadily between the mid-1970s and mid-1990s, but the rate of decline has diminished since then.

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References

  • Aghion P, Howitt P (1998) Endogenous growth theory. MIT press, Cambridge

    Google Scholar 

  • Ahn S, Hemmings P (2000) Policy influences on economic growth in OECD countries: an evaluation of the evidence. OECD Econmics Department Working Papers 246

  • Anxo D, Bosch G, Bosworth D, Cette G, Steiner T, Taddei D (eds) (1995) Work patterns and capital utilization. Kluwer, Boston

    Google Scholar 

  • Banque de France B (2001) La Durée d’Utilisation d’Equipements: Principaux Résultats 1989–2000. Bulletin de la Banque de France, no. 94, October 2001, pp 75–93

  • Barro R, Sala-i-Martin X (1995) Economic growth. McGraw-Hill, New York

    Google Scholar 

  • Basu S, Kimball ML (1997) Cyclical productivity with unobserved input variation. NBER No. 5915

  • Basu S, Fernald J, Kimball ML (2004) Are technology improvements contractionary? NBER No. 10592

  • Baumol W (1986) Productivity, growth, convergence, and welfare: what the long-run data show. Am Econ Rev 76:1072–1085

    Google Scholar 

  • Baxter M, Farr DD(2001) The effects of variable capital utilization on the measurement and properties of sectoral productivity: some international evidence. NBER No. 8475

  • Bils M, Cho J (1994) Cyclical factor utilization. J Monetary Econ 33:319–354

    Article  Google Scholar 

  • Bosworth D, Cette G (1995) Capital operating time: measurement issues. In: Anxo D et al (eds) Work patterns and capital utilisation: an international comparative study. Kluwer, Dordrecht, pp 89–120

    Google Scholar 

  • Burnside C, Eichenbaum M, Rebelo S (1995) Capital utilization and returns to scale. NBER Working Paper 5125

  • Cette G (2002) Capital operating time and shift work in France. Mimeo manuscript

  • Chen EKY (1997) The total factor productivity debate: determinants of economic growth in East Asia. Asian Pac Econ Lit 18:313–328

    Google Scholar 

  • Cheung YW, Lai KS (1993) Finite sample sizes of Johansen’s likelihood ratio test for cointegration. Oxford Bull Econ Stat 55:313–328

    Article  Google Scholar 

  • Cooley TF, Hansen GD, Prescott EC (1995) Equilibrium business cycles with idle resources and variable capacity utilization. Econ Theory 6(1):35–50

    Article  Google Scholar 

  • Corrado C, Mattey J (1997) Capacity utilization. J Econ Perspect 11(1):151–167

    Google Scholar 

  • Deardorff AV, Stafford FP (1976) Compensation of cooperating factors. Econonometrica 44:671–684

    Article  Google Scholar 

  • Dupaigne M (1998) Capital operating time and economic fluctuations. Rech Econ Louvain 64(3):243–267

    Google Scholar 

  • Dupaigne M (2002) Travail Posté et Durée d’Utilisation des Equipements dans les Fluctuations Economiques. Ann Econ Stat 66:235–256

    Google Scholar 

  • Easterly W, Levine R (2001) It’s not factor accumulation: stylized facts and growth models. World Bank Econ Rev 15(2):177–219

    Article  Google Scholar 

  • Elliott G, Rothenberg TJ, Stock J (1996) Efficient tests for an autoregressive unit root. Econometrica 64:813–836

    Article  Google Scholar 

  • Färe R, Grosskopf S, Lovell CAK (1994) Production frontiers. Cambridge University Press, Cambridge

    Google Scholar 

  • Finn MG (1995) Variance properties of Solow’s productivity residual and their cyclical implications. J Econ Dyn Control 19:1249–1281

    Article  Google Scholar 

  • Foss M (1963) The utilization of capital equipment. Surv Curr Bus 43(6)

  • Garofalo A, Vinci CP (2000) Employment, capital operating time and efficiency wages hypothesis: is there any room for worksharing? Cah Econ Brux 168(4ème trimestre):397–441

    Google Scholar 

  • Greenwood J, Hercowitz Z, Huffman GW (1988) Investment, capacity utilization, and the real business cycle. Am Econ Rev 78(3):402–417

    Google Scholar 

  • Griliches Z (1970) Notes on the role of education in production functions and growth accounting. In: Hansen L (ed) Education, income, and human capital. Columbia University Press, New York, pp 71–115

    Google Scholar 

  • Grossman G, Helpman E (1991) Quality ladders in the theory of economic growth. Rev Econ Stud 58(1):43–61

    Article  Google Scholar 

  • Hall RA (1989) Invariance properties of Solow’s residual. NBEResearch No. 3034

  • Harberger AC (1998) A vision of the growth process. Am Econ Rev 88(1):1–32

    Google Scholar 

  • Hernández JA, Mauleón I (2005) Econometric estimation of a variable rate of depreciation of the capital stock. Empir Econ 30:575–595

    Article  Google Scholar 

  • Hornstein A (2002) Towards a theory of capacity utilization: shift work and the workweek of capital. Federal Reserve Bank of Richmond Quarterly 88(2):65–86

    Google Scholar 

  • Imbs JM (1999) Technology, growth and the business cycle. J Monetary Econ 44:65–80

    Article  Google Scholar 

  • Jorgenson DW (1966) The embodiment hypothesis. J Polit Econ 74(1):1–17

    Article  Google Scholar 

  • King RG, Rebelo ST (1999) Resuscitating real business cycles. In: Taylor JB, Woodford M (eds) Handbook of macroeconomics, vol 1, Chapter 14. Elsevier, Amsterdam, pp 927–1007

    Chapter  Google Scholar 

  • Lucas RE Jr (1970) Capacity, overtime, and empirical production functions. Am Econ Rev 60(2):23–27

    Google Scholar 

  • Lucas RE Jr (1988) On the mechanics of economic development. J Monetary Econ 22:3–42

    Article  Google Scholar 

  • Mankiw NG, Romer D, Weil DN (1992) A contribution to the empirics of economic growth. Q J Econ 107:407–437

    Article  Google Scholar 

  • Ouliaris S (2001) On extracting business cycles from nonstationary data. International Monetary Fund, manuscript

    Google Scholar 

  • Romer P (1986) Increasing returns and long-run growth. J Polit Econ 94(5, part 2):1002–1037

    Google Scholar 

  • Rumbos B, Auernheimer L (2001) Endogenous capital utilization in a neoclassical growth model. Atl Econ J 29(2):121–134

    Article  Google Scholar 

  • Shapiro MD (1993) Cyclical productivity and the workweek of capital. Am Econ Rev 83(2):229–233

    Google Scholar 

  • Shapiro MD (1996) Macroeconomic implications of variation in the workweek of capital. Brook Pap Econ Act 2:79–133

    Article  Google Scholar 

  • Solow RM (1967) The explanation of productivity change. Rev Econ Stud 34(2):249–283

    Google Scholar 

  • Temple J (1999) The new growth evidence. J Econ Lit 37(1):112–156

    Google Scholar 

  • Temple J (2000) Summary of an informal workshop on the causes of growth. OECD Economics Department Working Papers No. 260

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Correspondence to Luc Everaert or Francisco Nadal De Simone.

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The authors are indebted to the Banque de France for providing the data on the utilization of capital, to Tam Bayoumi, Robert Ford, Marcello Estevão, and two anonymous referees for helpful comments; to Jim Hamilton for an important technical clarification; and to Susan Becker for efficient data management. Errors and omissions remain the authors‘ sole responsibility. The views expressed in this paper are those of the authors and not of the International Monetary Fund, with which the authors are affiliated.

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Everaert, L., De Simone, F.N. Improving the estimation of total factor productivity growth: capital operating time in a latent variable approach. Empirical Economics 33, 449–468 (2007). https://doi.org/10.1007/s00181-006-0109-y

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  • DOI: https://doi.org/10.1007/s00181-006-0109-y

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