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On the Golden Rule of capital accumulation under endogenous longevity

Author

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  • DE LA CROIX, David

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

  • PONTHIÈRE, Grégory

Abstract

This note derives the Golden Rule of capital accumulation in a Chakraborty-type economy, i.e. a two-period OLG economy where longevity is endogenous. It is shown that the capital per worker maximizing steady-state consumption per head is inferior to the Golden Rule capital level prevailing under exogenous longevity. We characterize also the Lifetime Golden Rule, that is, the capital per worker maximizing steady-state expected lifetime consumption per head, and show that this tends to exceed the standard Golden Rule capital level.

Suggested Citation

  • DE LA CROIX, David & PONTHIÈRE, Grégory, 2008. "On the Golden Rule of capital accumulation under endogenous longevity," CORE Discussion Papers 2008049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2008049
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    File URL: http://www.uclouvain.be/cps/ucl/doc/core/documents/coredp2008_49.pdf
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    References listed on IDEAS

    as
    1. Matteo Cervellati & Uwe Sunde, 2005. "Human Capital Formation, Life Expectancy, and the Process of Development," American Economic Review, American Economic Association, pages 1653-1672.
    2. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    3. David de la Croix & Omar Licandro, 2013. "The Child is Father Of the Man: Implications for the Demographic Transition," Economic Journal, Royal Economic Society, vol. 123(567), pages 236-261, March.
    4. Jones Charles I., 2001. "Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-45, August.
    5. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
    6. Raouf Boucekkine & Bity Diene & Theophile Azomahou, 2008. "Growth Economics of Epidemics: A Review of the Theory," Mathematical Population Studies, Taylor & Francis Journals, pages 1-26.
    7. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    8. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, March.
    9. Tamura, Robert, 2006. "Human capital and economic development," Journal of Development Economics, Elsevier, pages 26-72.
    10. Kevin M. Murphy & Robert H. Topel, 2006. "The Value of Health and Longevity," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 871-904, October.
    11. DE LA CROIX, David & LICANDRO, Omar, 2007. "‘The child is father of the man’: implications for the demographic transition," CORE Discussion Papers 2007072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Citations

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    Cited by:

    1. Laurent Brembilla, 2016. "Endogenous lifetime and economic growth: the roleof the tax rate," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 247-263, October.
    2. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española, IEF, vol. 200(1), pages 41-74, March.
    3. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, pages 899-922.
    4. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    5. Dávila, Julio & Leroux, Marie-Louise, 2015. "Efficiency in overlapping generations economies with longevity choices and fair annuities," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 363-383.
    6. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 137-151, April.
    7. Luciano Fanti & Luca Gori & Fabio Tramontana, 2014. "Endogenous lifetime, accidental bequests and economic growth," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 81-98, April.
    8. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    9. Dai, Darong, 2011. "Wealth Martingale and Neighborhood Turnpike Property in Dynamically Complete Market with Heterogeneous Investors," MPRA Paper 46416, University Library of Munich, Germany.
    10. repec:scn:guhrje:2017_3_01 is not listed on IDEAS
    11. repec:hal:psewpa:halshs-00746913 is not listed on IDEAS
    12. Dai, Darong, 2012. "A Robust Turnpike Deduced by Economic Maturity," MPRA Paper 48818, University Library of Munich, Germany.
    13. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    14. Gregory Ponthiere, 2013. "Fair Accumulation under Risky Lifetime," Scottish Journal of Political Economy, Scottish Economic Society, pages 210-230.
    15. Paolo Melindi-Ghidi & Willem Sas, 2015. "Invest as You Go: How Public Health Investment Keeps Pension Systems Healthy," Working Papers halshs-01171701, HAL.
    16. repec:hal:journl:halshs-00423933 is not listed on IDEAS
    17. Darong Dai, 2015. "Robust Turnpikes Deduced by the Minimum-Time Needed toward Economic Maturity," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 049-073, October.
    18. Stefan Felder, 2016. "“How powerful is demography? The serendipity theorem revisited” comment on De la Croix et al. (2012)," Journal of Population Economics, Springer;European Society for Population Economics, vol. 29(3), pages 957-967, July.
    19. repec:hal:wpaper:halshs-00746913 is not listed on IDEAS
    20. Dai, Darong, 2012. "Comparative Studies on Cooperative Stochastic Differential Game and Dynamic Sequential Game of Economic Maturity," MPRA Paper 44339, University Library of Munich, Germany.
    21. Darong Dai, 2013. "Wealth Martingale and Neighborhood Turnpike Property In Dynamically Complete Market With Heterogeneous Investors," Economic Research Guardian, Weissberg Publishing, vol. 3(2), pages 86-110, December.

    More about this item

    Keywords

    Golden Rule; longevity; OLG models.;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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