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A Simple Monetary Growth Model with Variable Rates of Time Preference

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  • Tom Kompas
  • Omar Abdel-Razeq

Abstract

This paper constructs a simple optimal monetary growth model in which an endogenous and variable rate of time preference provides a rational foundation for a Tobin-effect in a system where otherwise strong neoclassical assumptions (e.g., perfect foresight, an infinite planning horizon, and continuous marketclearing) are maintained. Changes in the proportional rate of growth of the nominal money supply affect both the rate of time preference (ñ) and the equilibrium capital—labour ratio. The impact effect of a fall in ñ (less impatience), and the induced capital accumulation that goes with it, drives the result. Proper transformation rules for two-state variable control problems and curvature and simulation results for the rate of time preference function are also established. The latter in particular provides a reasonable and easily understood foundation for simple systems in which the rate of time preference depends on an index of future consumption, and provides a counter-argument to well-known criticisms (e.g., Blanchard and Fischer (1989) and Barro and Sali-i-Martin (1995)) of Epstein—Uzawa rate of time preference functions. All results are obtained in an analytically simple way, using standard techniques.

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File URL: https://crawford.anu.edu.au/degrees/idec/working_papers/IDEC01-10.pdf
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Bibliographic Info

Paper provided by International and Development Economics in its series International and Development Economics Working Papers with number idec01-10.

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Length: 19 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:idc:wpaper:idec01-10

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  1. Uzawa, H, 1969. "Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 77(4), pages 628-52, Part II, .
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Cited by:
  1. Xiaoyong Cui & Liutang Gong & Ziguan Zhuang, 2008. "Macroeconomic Policies and Foreign Asset Accumulation in a Finite-Horizon Model," Annals of Economics and Finance, Society for AEF, vol. 9(2), pages 293-313, November.

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