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

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  • 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.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2009/wp-cesifo-2009-07/cesifo1_wp2708.pdf
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Bibliographic Info

Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 2708.

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Date of creation: 2009
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Handle: RePEc:ces:ceswps:_2708

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Related research

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

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References

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  1. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2009. "Optimal Monetary Policy and Economic Growth," Staff General Research Papers 12413, Iowa State University, Department of Economics.
  2. Peter Ireland, 2005. "The liquidity trap, the real balance effect, and the Friedman rule," Working Papers 05-3, Federal Reserve Bank of Boston.
  3. Frederic, DOCQUIER & Oliver, Paddison & Pierre PESTIEAU, 2006. "Optimal accumulation in an endogenous growth setting with human capital," Discussion Papers (ECON - Département des Sciences Economiques) 2006022, Université catholique de Louvain, Département des Sciences Economiques.
  4. Chang, Wen-ya & Lai, Ching-chong, 2000. "Anticipated Inflation in a Monetary Economy with Endogenous Growth," Economica, London School of Economics and Political Science, vol. 67(267), pages 399-417, August.
  5. Michel, Philippe & Wigniolle, Bertrand, 2005. "Cash-In-Advance Constraints, Bubbles, And Monetary Policy," Macroeconomic Dynamics, Cambridge University Press, vol. 9(01), pages 28-56, February.
  6. Beatrix Paal & Bruce D. Smith, 2001. "The sub-optimality of the Friedman rule and the optimum quantity of money," IEHAS Discussion Papers 0113, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  7. Weiss, Laurence M, 1980. "The Effects of Money Supply on Economic Welfare in the Steady State," Econometrica, Econometric Society, vol. 48(3), pages 565-76, April.
  8. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
  9. Crettez, B. & Michel, P. & Wigniolle, B., 1997. "Cash-in-Advance Constraints in the Diamond Overlapping Generations Model: Neutrality and Optimality of Monetary Policies," Papiers d'Economie Mathématique et Applications 97.52, Université Panthéon-Sorbonne (Paris 1).
  10. Gahvari, Firouz, 1988. "Lump-sum taxation and the superneutrality and optimum quantity of money in life cycle growth models," Journal of Public Economics, Elsevier, vol. 36(3), pages 339-367, August.
  11. Bruce D. Smith, 2002. "Monetary Policy, Banking Crises, and the Friedman Rule," American Economic Review, American Economic Association, vol. 92(2), pages 128-134, May.
  12. Freeman, Scott, 1993. "Resolving Differences over the Optimal Quantity of Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(4), pages 801-11, November.
  13. Jones, Larry E. & Manuelli, Rodolfo E., 1995. "Growth and the effects of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1405-1428, November.
  14. Crettez, Bertrand & Michel, Philippe & Wingniolle, Bertrand, 2002. " Optimal Monetary Policy, Taxes, and Public Debt in an Intertemporal Equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(3), pages 299-316.
  15. Bhattacharya, Joydeep & Haslag, Joseph & Russell, Steven, 2004. "The Role of Money in Two Alternative Models: When is the Friedman Rule Optimal, and Why?," Staff General Research Papers 11950, Iowa State University, Department of Economics.
  16. Wang, Ping & Yip, Chong K., 1992. "Examining the long-run effect of money on economic growth," Journal of Macroeconomics, Elsevier, vol. 14(2), pages 359-369.
  17. 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.
  18. van der Ploeg, Frederick & Alogoskoufis, George S, 1994. "Money and Endogenous Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(4), pages 771-91, November.
  19. repec:hal:cesptp:halshs-00268861 is not listed on IDEAS
  20. Gahvari, Firouz, 2007. "The Friedman rule: Old and new," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 581-589, March.
  21. Juin-Jen Chang & Wen-Ya Chang & Ching-Chong Lai & Ping Wang, 2007. "Equilibrium Dynamics in an Endogenous Growth Model of Money and Banking," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1683-1710, October.
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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.

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