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

  • Firouz Gahvari

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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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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  1. Larry E. Jones & Rodolfo E. Manuelli, 1993. "Growth and the Effects of Inflation," NBER Working Papers 4523, National Bureau of Economic Research, Inc.
  2. 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.
  3. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2009. "Optimal Monetary Policy and Economic Growth," Staff General Research Papers 12413, Iowa State University, Department of Economics.
  4. CRETTEZ, Bertrand & MICHEL, Philippe & WIGNIOLLE, Bertrand, 1998. "Cash-in-advance constraints in the diamond overlapping generations model: neutrality and optimality of monetary policies," CORE Discussion Papers 1998005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Wang, P. & Yip, C.K., 1991. "Examining the Long-Run Effect of Money on Economic Growth," Papers 6-91-2, Pennsylvania State - Department of Economics.
  6. 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.
  7. 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.
  8. 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.
  9. Gahvari, Firouz, 2007. "The Friedman rule: Old and new," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 581-589, March.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. Peter Ireland, 2005. "The liquidity trap, the real balance effect, and the Friedman rule," Working Papers 05-3, Federal Reserve Bank of Boston.
  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. 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.
  20. 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.
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