[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/zur/iewwpx/033.html
   My bibliography  Save this paper

Is There a Golden Rule for the Stochastic Solow Growth Model ?

Author

Listed:
  • Klaus Reiner Schenk-Hopp�
Abstract
This paper analyzes the dependence of average consumption on the saving rate in a one-sector neoclassical Solow growth model with pro-duction shocks and stochastic rates of population growth and depreciation where arbitrary ergodic processes are considered. We show that the long-run behavior of the stochastic capital intensity, and hence average consumption along any sample-path, is uniquely determined by a random fixed point which depends continuously on the saving rate. This result enables us to prove the existence of a golden rule saving rate which maximizes average consumption per capita. We also show that the golden rule path is dynamically efficient. The results are illustrated numerically for Cobb�Douglas and CES production function.

Suggested Citation

  • Klaus Reiner Schenk-Hopp�, "undated". "Is There a Golden Rule for the Stochastic Solow Growth Model ?," IEW - Working Papers 033, Institute for Empirical Research in Economics - University of Zurich.
    • Handle: RePEc:zur:iewwpx:033
    as

    Download full text from publisher

    File URL: https://www.zora.uzh.ch/id/eprint/51935/1/iewwp033.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    3. Mirman, Leonard J., 1973. "The steady state behavior of a class of one sector growth models with uncertain technology," Journal of Economic Theory, Elsevier, vol. 6(3), pages 219-242, June.
    4. Ambler, Steve & Paquet, Alain, 1994. "Stochastic Depreciation and the Business Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 101-116, February.
    5. Mirman, Leonard J, 1972. "On the Existence of Steady State Measures for One Sector Growth Models with Uncertain Technology," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(2), pages 271-286, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cuong Van & John Stachurski, 2007. "Parametric continuity of stationary distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 333-348, November.
    2. Darong Dai, 2014. "A Golden Formula in Neoclassical-Growth Models with Brownian-Motion Shocks," Scottish Journal of Political Economy, Scottish Economic Society, vol. 61(2), pages 211-228, May.
    3. Schenk-Hoppe, Klaus Reiner, 2005. "Poverty traps and business cycles in a stochastic overlapping generations economy with S-shaped law of motion," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 275-288, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Schenk-Hoppe, Klaus Reiner & Schmalfu[ss], Bjorn, 2001. "Random fixed points in a stochastic Solow growth model," Journal of Mathematical Economics, Elsevier, vol. 36(1), pages 19-30, September.
    2. Albeverio, Sergio & Mastrogiacomo, Elisa, 2022. "Large deviation principle for spatial economic growth model on networks," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    3. Michael Donadelli & Vahid Mojtahed & Antonio Paradiso, 2015. "Technological Progress, Investment Frictions and Business Cycle: New Insights from a Neoclassical Growth Model," Working Papers LuissLab 15119, Dipartimento di Economia e Finanza, LUISS Guido Carli.
    4. Donadelli, M. & Paradiso, A. & Livieri, G., 2019. "Adding cycles into the neoclassical growth model," Economic Modelling, Elsevier, vol. 78(C), pages 162-171.
    5. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 2005. "Obsolescence and modernization in the growth process," Journal of Development Economics, Elsevier, vol. 77(1), pages 153-171, June.
    6. Baharumshah, Ahmad Zubaidi & Slesman, Ly & Wohar, Mark E., 2016. "Inflation, inflation uncertainty, and economic growth in emerging and developing countries: Panel data evidence," Economic Systems, Elsevier, vol. 40(4), pages 638-657.
    7. Shaukat, Badiea & Zhu, Qigui & Khan, M. Ijaz, 2019. "Real interest rate and economic growth: A statistical exploration for transitory economies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    8. Alexandru Minea & Patrick Villieu, 2006. "Long-Run Monetary and Fiscal Policy Trade-Off in an Endogenous Growth Model with Transaction Costs," Post-Print halshs-00261119, HAL.
    9. Martinez-Vazquez, Jorge & McNab, Robert M., 2003. "Fiscal Decentralization and Economic Growth," World Development, Elsevier, vol. 31(9), pages 1597-1616, September.
    10. Miketa, Asami & Mulder, Peter, 2005. "Energy productivity across developed and developing countries in 10 manufacturing sectors: Patterns of growth and convergence," Energy Economics, Elsevier, vol. 27(3), pages 429-453, May.
    11. MURAKAMI Hiroki, 2016. "Firm Growth by Product Innovation in the Presence of the Product Life Cycle," Discussion papers 16032, Research Institute of Economy, Trade and Industry (RIETI).
    12. Fase, M. M. G. & Abma, R. C. N., 2003. "Financial environment and economic growth in selected Asian countries," Journal of Asian Economics, Elsevier, vol. 14(1), pages 11-21, February.
    13. Fung, Michael K., 2009. "Financial development and economic growth: Convergence or divergence?," Journal of International Money and Finance, Elsevier, vol. 28(1), pages 56-67, February.
    14. Peter Gripaios & Paul Bishop, 2005. "Spatial inequalities in UK GDP per head: The role of private and public services," The Service Industries Journal, Taylor & Francis Journals, vol. 25(8), pages 945-958, December.
    15. Antonio Paradiso & Saten Kumar & B. Bhaskara Rao, 2013. "The growth effects of education in Australia," Applied Economics, Taylor & Francis Journals, vol. 45(27), pages 3843-3852, September.
    16. Jaewon Lim & Changkeun Lee & Euijune Kim, 2015. "Contributions of human capital investment policy to regional economic growth: an interregional CGE model approach," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(2), pages 269-287, December.
    17. William Easterly & Ross Levine, 2002. "It´s Not Factor Accumulation: Stylized Facts and Growth Models," Central Banking, Analysis, and Economic Policies Book Series, in: Norman Loayza & Raimundo Soto & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series Editor) (ed.),Economic Growth: Sources, Trends, and Cycles, edition 1, volume 6, chapter 3, pages 061-114, Central Bank of Chile.
    18. ALBU, Lucian Liviu, 2015. "Investment And Economic Growth On Medium And Long Term," Journal of Financial and Monetary Economics, Centre of Financial and Monetary Research "Victor Slavescu", vol. 2(1), pages 2-14.
    19. LeBel, Phillip, 2008. "The role of creative innovation in economic growth: Some international comparisons," Journal of Asian Economics, Elsevier, vol. 19(4), pages 334-347, August.
    20. Wei-Bin Zhang, 2016. "Exchange Values of Gold, Land, Physical Capital, and Human Capital in a Neoclassical Growth Model," Economic Alternatives, University of National and World Economy, Sofia, Bulgaria, issue 3, pages 265-286, September.

    More about this item

    Keywords

    Stochastic Solow model; golden rule; random fixed points; random dynamical systems;
    All these keywords.

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zur:iewwpx:033. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Severin Oswald (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.