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Velocity of money, equilibrium (in)determinacy and endogenous growth

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  • Chen, Shu-Hua
  • Guo, Jang-Ting

Abstract

We show that in a canonical one-sector AK model of endogenous growth with a generalized cash-in-advance constraint, the growth and velocity effects of money are closely related to the local stability properties of the economy's balanced growth paths. When a positive fraction (excluding 100%) of gross investment is subject to the liquidity constraint, the economy displays saddle-path stability and negative effects of money on output growth and velocity due to a dominating portfolio substitution effect. By contrast, when the opposing intertemporal substitution effect dominates, the economy exhibits indeterminacy and sunspots, as well as a positive correlation between money, output growth and velocity. Finally, when real balances are required only for the household's consumption purchases, money becomes superneutral in the growth-rate and also in the velocity sense because the equilibrium real rate of return on capital remains constant.

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  • Chen, Shu-Hua & Guo, Jang-Ting, 2008. "Velocity of money, equilibrium (in)determinacy and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1085-1096, September.
    • Handle: RePEc:eee:jmacro:v:30:y:2008:i:3:p:1085-1096
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    2. Patrick VILLIEU & Maxime MENUET & Alexandru MINEA, 2015. "Deficit Rules and Monetization in a Growth Model with Multiplicity and Indeterminacy," LEO Working Papers / DR LEO 2294, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
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    6. Seiya Fujisaki & Kazuo Mino, 2010. "Long-Run Impacts of Inflation Tax with Endogenous Capital Depreciation," Economics Bulletin, AccessEcon, vol. 30(1), pages 808-816.
    7. Seiya Fujisaki, 2008. "Equilibrium Determinacy of Endogenous Growth with Generalized Taylor Rule: A Discrete-Time Analysis," Discussion Papers in Economics and Business 08-21, Osaka University, Graduate School of Economics.
    8. Lai, Ching-Chong & Chin, Chi-Ting, 2013. "Monetary Rules And Endogenous Growth In An Open Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 17(2), pages 431-463, March.
    9. Kawagishi, Taketo & Kaminoyama, Ken-ichi, 2014. "Cash-in-advance constraint with status and endogenous growth," MPRA Paper 55946, University Library of Munich, Germany.
    10. Seiya Fujisaki & Kazuo Mino, 2009. "Long-Run Impacts of Inflation Tax in the Presence of Multiple Capital Goods," Economics Bulletin, AccessEcon, vol. 29(3), pages 1644-1652.
    11. Been-Lon Chen & Yu-Shan Hsu & Chia-Hui Lu, 2011. "Friedman meets Becker and Mulligan in a monetary neoclassical growth model," Journal of Economics, Springer, vol. 104(2), pages 99-126, October.
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    15. Seiya Fujisaki, 2009. "Velocity and Monetary Expansion in a Growing Economy with Interest-Rate Control," Discussion Papers in Economics and Business 09-09, Osaka University, Graduate School of Economics.

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