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Friedman Rule in a Model with Endogenous Growth and Cash-in-advance Constraint

Author

Listed:
  • Firouz Gahvari

Abstract

This paper introduces money into an overlapping generations model with endogenous growth. The model, due to Docquier et al. (2007), exhibits a positive intergenerational externality which precludes its laissez-fair equilibrium to be optimal even if the government can control the level of physical capital and set it to satisfy the modified golden rule. The main message of the paper is that, as long as the modified golden rule is attained, Friedman rule is optimal. The result holds regardless of the ability of the government to internalize the externality and control the level of human capital. Other results include: (i) violation of Friedman rule for a different second-best environment wherein human capital accumulation is controlled but not physical capital accumulation; (ii) existence of a negative relationship between money growth rate and the economy’s endogenous growth rate, and (iii) non-uniqueness of Friedman rule.

Suggested Citation

  • Firouz Gahvari, 2009. "Friedman Rule in a Model with Endogenous Growth and Cash-in-advance Constraint," CESifo Working Paper Series 2708, CESifo Group Munich.
  • Handle: RePEc:ces:ceswps:_2708
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    File URL: http://www.cesifo-group.de/DocDL/cesifo1_wp2708.pdf
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    References listed on IDEAS

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    2. Dotsey, Michael & Sarte, Pierre Daniel, 2000. "Inflation uncertainty and growth in a cash-in-advance economy," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 631-655, June.
    3. Docquier, Frederic & Paddison, Oliver & Pestieau, Pierre, 2007. "Optimal accumulation in an endogenous growth setting with human capital," Journal of Economic Theory, Elsevier, vol. 134(1), pages 361-378, May.
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    5. Crettez, Bertrand & Michel, Philippe & Wigniolle, Bertrand, 1999. "Cash-in-Advance Constraints in the Diamond Overlapping Generations Model: Neutrality and Optimality of Monetary Policies," Oxford Economic Papers, Oxford University Press, vol. 51(3), pages 431-452, July.
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    Citations

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    Cited by:

    1. Gahvari, Firouz & Micheletto, Luca, 2012. "Monetary policy and redistribution: What can or cannot be neutralized with Mirrleesian taxes," Working Paper Series, Center for Fiscal Studies 2012:5, Uppsala University, Department of Economics.
    2. varelas, erotokritos, 2013. "A Comment on Chicago Rule, Chicago School, and Commercial Bank Seigniorage," MPRA Paper 48770, University Library of Munich, Germany.
    3. Angus C. Chu & Guido Cozzi, 2014. "R&D And Economic Growth In A Cash‐In‐Advance Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 507-524, May.
    4. Yu-Fu Chen & Michael Funke, 2010. "Booms, Recessions And Financial Turmoil: A Fresh Look At Investment Decisions Under Cyclical Uncertainty," Scottish Journal of Political Economy, Scottish Economic Society, vol. 57(s1), pages 290-317, July.

    More about this item

    Keywords

    Friedman rule; endogenous growth; investment in human capital; overlapping generations; second best;

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H52 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Education

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