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RANDOM MATCHING AND MONEY IN THE NEOCLASSICAL GROWTH MODEL: SOME ANALYTICAL RESULTS

Published online by Cambridge University Press:  20 July 2011

Christopher J. Waller*
Affiliation:
Federal Reserve Bank of St. Louis and University of Notre Dame
*
Address correspondence to: Christopher J. Waller, Research Division, Federal Reserve Bank of St. Louis, P.O. Box 442, St. Louis, MO 63166, USA; e-mail: cwaller@stls.frb.org.

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.

Type
Articles
Copyright
Copyright © Cambridge University Press 2011

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