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The Behaviour of the Saving Rate in the Neoclassical Optimal Growth Model



This paper characterizes analytically the saving rate in the Ramsey-Cass-Koopmans model with a general production function when there exists both exogenous and endogenous growth. It points out conditions involving the share of capital and the elasticities of factor and intertemporal substitution under which the saving rate path to its steady-state value exhibits overshooting, undershooting, or is monotonic. Simulations illustrate these interesting dynamics. The paper also identifies the general class of production functions that render the saving rate constant along the entire transition path and hence make the Ramsey-Cass-Koopmans model isomorphic to that of Solow-Swan.

Suggested Citation

  • Anastastia Litina & Theodore Palivos, 2008. "The Behaviour of the Saving Rate in the Neoclassical Optimal Growth Model," Discussion Paper Series 2008_05, Department of Economics, University of Macedonia, revised Jun 2008.
  • Handle: RePEc:mcd:mcddps:2008_05

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    References listed on IDEAS

    1. Litina, Anastasia & Palivos, Theodore, 2008. "Do Inada conditions imply that production function must be asymptotically Cobb-Douglas? A comment," Economics Letters, Elsevier, vol. 99(3), pages 498-499, June.
    2. Lawrence J. Christiano, 1989. "Understanding Japan's saving rate: the reconstruction hypothesis," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 10-25.
    3. Barelli, Paulo & de Abreu Pessoa, Samuel, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," Economics Letters, Elsevier, vol. 81(3), pages 361-363, December.
    4. M. Kurz, 1968. "The General Instability of a Class of Competitive Growth Processes," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 155-174.
    5. Barelli, Paulo & Pessôa, Samuel de Abreu, 2003. "Inada conditions imply that production function must be asymptotically Cobb-Douglas," FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) 477, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
    6. Palivos, Theodore & Karagiannis, Giannis, 2010. "The Elasticity Of Substitution As An Engine Of Growth," Macroeconomic Dynamics, Cambridge University Press, vol. 14(05), pages 617-628, November.
    7. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    8. Maddison, Angus, 1992. " A Long-Run Perspective on Saving," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(2), pages 181-196.
    9. Brunner, Martin & Strulik, Holger, 2002. "Solution of perfect foresight saddlepoint problems: a simple method and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 737-753, May.
    10. Jones, Larry E. & Manuelli, Rodolfo E., 2005. "Neoclassical Models of Endogenous Growth: The Effects of Fiscal Policy, Innovation and Fluctuations," Handbook of Economic Growth,in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 1, pages 13-65 Elsevier.
    11. Winford H. Masanjala & Chris Papageorgiou, 2004. "The Solow model with CES technology: nonlinearities and parameter heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(2), pages 171-201.
    12. Norman Loayza & Klaus Schmidt-Hebbel & Luis Servén, 2000. "Saving in Developing Countries: An Overview," World Bank Economic Review, World Bank Group, vol. 14(3), pages 393-414, September.
    13. Klump, Rainer & Preissler, Harald, 2000. " CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    14. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    15. Turnovsky, Stephen J., 2002. "Intertemporal and intratemporal substitution, and the speed of convergence in the neoclassical growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1765-1785, August.
    16. Klump, Rainer & McAdam, Peter & Willman, Alpo, 2004. "Factor substitution and factor augmenting technical progress in the US: a normalized supply-side system approach," Working Paper Series 367, European Central Bank.
    17. Turnovsky, Stephen J., 2008. "The role of factor substitution in the theory of economic growth and income distribution: Two examples," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 604-629, June.
    18. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-1038, October.
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    Cited by:

    1. Theodore Palivos & Jianpo Xue & Chong K. Yip, 2011. "Illegal Immigration, Factor Substitution and Economic Growth," Discussion Paper Series 2011_10, Department of Economics, University of Macedonia, revised Jun 2011.
    2. Y. Hossein Farzin & Ronald Wendner, 2013. "Saving Rate Dynamics in the Neoclassical Growth Model — Hyperbolic Discounting and Observational Equivalence," Graz Economics Papers 2013-05, University of Graz, Department of Economics.
    3. Cardona Daniel & Sánchez-Losada Fernando, 2016. "Firms’ operational costs, market entry and growth," The B.E. Journal of Macroeconomics, De Gruyter, vol. 16(1), pages 211-229, January.

    More about this item


    The Ramsey-Cass-Koopmans model; Saving rate; Elasticities of Substitution;

    JEL classification:

    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General

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