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Random matching and money in the neoclassical growth model: some analytical results

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  • Christopher J. Waller

Abstract

I use the monetary version of the neoclassical growth model developed by Aruoba, Waller and Wright (2008) to study the properties of the model when there is exogenous growth. I first consider the planner's problem, then the equilibrium outcome in a monetary economy. I do so by first using proportional bargaining to determine the terms of trade and then consider competitive price taking. I obtain closed form solutions for the balanced growth path of all variables 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 non-stationary interest rate policy.

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Bibliographic Info

Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2009-034.

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Date of creation: 2009
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Handle: RePEc:fip:fedlwp:2009-034

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Keywords: Monetary policy ; Econometric models;

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References

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  1. 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.
  2. Paul Gomme, 1991. "Money and growth revisited," Discussion Paper / Institute for Empirical Macroeconomics 55, Federal Reserve Bank of Minneapolis.
  3. Gomme, P., 1993. "Money and Growth Revisited : Measuring the Costs of Inflation in an Endogenous Growth Model," Discussion Papers dp93-03, Department of Economics, Simon Fraser University.
  4. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75, pages 796.
  5. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, 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 927-54, August.
  7. S. Boragan Aruoba & Randall Wright, 2002. "Search, money and capital: a neoclassical dichotomy," Working Paper 0208, Federal Reserve Bank of Cleveland.
  8. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
  9. repec:fth:simfra:93-03 is not listed on IDEAS
  10. S. Boragan Aruoba & Christopher J. Waller, 2005. "Money and Capital," 2005 Meeting Papers 550, Society for Economic Dynamics.
  11. 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.
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Citations

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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. Pere 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.
  3. S. Boragan Aruoba & Frank Schorfheide, 2009. "Sticky prices versus monetary frictions: an estimation of policy trade-offs," Working Papers 09-8, Federal Reserve Bank of Philadelphia.
  4. 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.
  5. Jonathan Chiu & Césaire Meh & Randall Wright, 2011. "Innovation and Growth with Financial, and Other, Frictions," Working Papers 11-25, Bank of Canada.
  6. Chu, Angus C. & Lai, Ching-Chong & Liao, Chih-Hsing, 2012. "Search and endogenous growth: when Romer meets Lagos and Wright," MPRA Paper 36691, University Library of Munich, Germany.
  7. 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.

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