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Random Matching And Money In The Neoclassical Growth Model: Some Analytical Results

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  • Waller, Christopher J.

Abstract

I use the monetary version of the neoclassical growth model developed by Aruoba, Waller, and Wright [Journal of Monetary Economics (2011)] to study the properties of the model when there is exogenous growth. I first consider the planner's problem, and then the equilibrium outcome in a monetary economy. I do so by first using proportional bargaining to determine the terms of trade and then considering competitive price taking. I obtain closed-form solutions for all variables along the balanced growth path in all cases. I then derive closed-form solutions for the transition paths under the assumption of full depreciation and, in the monetary economy, a particular nonstationary interest rate policy. The key result is that inflation is damaging to per capita income levels along the balanced growth path and to short-run growth of the economy.

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  • Waller, Christopher J., 2011. "Random Matching And Money In The Neoclassical Growth Model: Some Analytical Results," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 293-312, September.
    • Handle: RePEc:cup:macdyn:v:15:y:2011:i:s2:p:293-312_00
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    References listed on IDEAS

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    1. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
    2. Shouyong Shi & Mariana Rojas Breu & Aleksander Berentsen, 2009. "Liquidity and Growth," 2009 Meeting Papers 590, Society for Economic Dynamics.
    3. Menner Martin, 2006. "A Search-Theoretic Monetary Business Cycle Model with Capital Formation," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-36, November.
    4. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March.
    5. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    6. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    7. Boragan Aruoba, S. & Rocheteau, Guillaume & Waller, Christopher, 2007. "Bargaining and the value of money," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2636-2655, November.
    8. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    9. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
    10. 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.
    11. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75(6), pages 796-796.
    12. 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.
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    Cited by:

    1. Berentsen, Aleksander & Rojas Breu, Mariana & Shi, Shouyong, 2012. "Liquidity, innovation and growth," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 721-737.
    2. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    3. Chu, Angus C. & Kan, Kamhon & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "Money, random matching and endogenous growth: A quantitative analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 173-187.
    4. Jonathan Chiu & Cesaire Meh & Randall Wright, 2017. "Innovation And Growth With Financial, And Other, Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 95-125, February.
    5. Chu, Angus C. & Liao, Chih-Hsing & Liu, Xiangbo & Zhang, Mengbo, 2021. "Indeterminacy in a matching model of money with productive government expenditure," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 497-516.
    6. S. Boragan Aruoba & Frank Schorfheide, 2011. "Sticky Prices versus Monetary Frictions: An Estimation of Policy Trade-Offs," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 60-90, January.
    7. Pere Gomis‐Porqueras & Timothy Kam & Junsang Lee, 2013. "Money, Capital, And Exchange Rate Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 329-353, February.
    8. Andolfatto, David & Berentsen, Aleksander & Waller, Christopher, 2016. "Monetary policy with asset-backed money," Journal of Economic Theory, Elsevier, vol. 164(C), pages 166-186.
    9. Jonathan Chiu & Cesaire Meh & Randall Wright, 2017. "Innovation And Growth With Financial, And Other, Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 95-125, February.
    10. repec:ath:journl:tome:30:v:2:y:2013:i:30:p:320-332 is not listed on IDEAS
    11. Pedro Gomis-Porqueras & Adrian Peralta-Alva & Christopher J. Waller, 2011. "Quantifying the shadow economy: measurement with theory," Working Papers 2011-015, Federal Reserve Bank of St. Louis.

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