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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. Nairay, Alain, 1984. "Asymptotic behavior and optimal properties of a consumption-investment model with variable time preference," Journal of Economic Dynamics and Control, Elsevier, vol. 7(3), pages 283-313, September.
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  3. 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, .
  4. 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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  6. Epstein, Larry G, 1987. "The Global Stability of Efficient Intertemporal Allocations," Econometrica, Econometric Society, vol. 55(2), pages 329-55, March.
  7. Peter A. Diamond & Tjalling C. Koopmans & Richard E. Williamson, 1962. "Stationary Utility and Time Preference," Cowles Foundation Discussion Papers 142, Cowles Foundation for Research in Economics, Yale University.
  8. Sargent, Thomas J & Wallace, Neil, 1973. "The Stability of Models of Money and Growth with Perfect Foresight," Econometrica, Econometric Society, vol. 41(6), pages 1043-48, November.
  9. Maurice Obstfeld, 1980. "Macroeconomic Policy, Exchange-Rate Dynamics, and Optimal Asset Accumulation," NBER Working Papers 0599, National Bureau of Economic Research, Inc.
  10. Francis, J. & Kompas, T., 1998. "Uzawa's Transformation and Optimal Control Problems With Variable Rates of Time Preference," Papers 354, Australian National University - Department of Economics.
  11. Obstfeld, Maurice, 1982. "Aggregate Spending and the Terms of Trade: Is There a Laursen-Metzler Effect?," The Quarterly Journal of Economics, MIT Press, vol. 97(2), pages 251-70, May.
  12. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
  13. Maurice Obstfeld, 1989. "Intertemporal Dependence, Impatience, and Dynamics," NBER Working Papers 3028, National Bureau of Economic Research, Inc.
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  15. Becker, Robert A, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, MIT Press, vol. 95(2), pages 375-82, September.
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  17. Robert J. Barro & Paul Romer, 1993. "Economic Growth," NBER Books, National Bureau of Economic Research, Inc, number barr93-1.
    • Robert J. Barro & Paul M. Romer, 1991. "Economic Growth," NBER Books, National Bureau of Economic Research, Inc, number barr91-1.
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  24. Begg, David K H, 1980. "Rational Expectations and the Non-neutrality of Systematic Monetary Policy," Review of Economic Studies, Wiley Blackwell, vol. 47(2), pages 293-303, January.
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  26. Epstein, Larry G., 1987. "A simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 41(1), pages 68-95, February.
  27. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75, pages 796.
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  29. Fischer, Stanley, 1979. "Capital Accumulation on the Transition Path in a Monetary Optimizing Model," Econometrica, Econometric Society, vol. 47(6), pages 1433-39, November.
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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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