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The Optimal Inflation Rate in an Overlapping-Generations Economy with Land

  • Bennett T. McCallum

This paper is concerned with the optimal inflation rate in an overlapping-generations economy in which (i) aggregate output is constrained by a standard neoclassical production function with diminishing marginal products for both capital and labor and (ii) the transaction-facilitating services of money are represented by means of a money-in-the-utility-function specification. With monetary injections provided by lump-sum transfers, the famous Chicago Rule prescription for monetary growth is necessary for Pareto optimality but a competitive equilibrium may fail to be Pareto optimal with that rule in force because of capital over accumulation. The latter possibility does not exist, however, if the economy includes an asset that is productive and non-reproducible--i.e., if the economy is one with land. As this conclusion is independent of the monetary aspects of the model, it is argued that the possibility of capital over accumulation should not be regarded as a matter of theoretical concern, even in the absence of government debt, intergenerational altruism, and social security systems or other "social contrivances."

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File URL: http://www.nber.org/papers/w1892.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 1892.

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Date of creation: Jun 1988
Date of revision:
Publication status: published as Barnett, William and Kenneth J. Singleton (eds.) New Approaches to Monetary Economics: Proceedings of the Second International Symposium in Economic Theory and Econometrics. New York: Cambridge University Press, 1987.
Handle: RePEc:nbr:nberwo:1892
Note: EFG ME
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  1. R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. McCallum, Bennett T., 1983. "The role of overlapping-generations models in monetary economics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 18(1), pages 9-44, January.
  3. Weiss, Laurence M, 1980. "The Effects of Money Supply on Economic Welfare in the Steady State," Econometrica, Econometric Society, vol. 48(3), pages 565-76, April.
  4. Guillermo A. Calvo & Maurice Obstfeld, 1985. "Optimal Time-Consistent Fiscal Policy with Uncertain Lifetimes," NBER Working Papers 1593, National Bureau of Economic Research, Inc.
  5. Jerome L. Stein, 1966. "Money and Capacity Growth," Journal of Political Economy, University of Chicago Press, vol. 74, pages 451.
  6. Calvo, Guillermo A., 1978. "On the indeterminacy of interest rates and wages with perfect foresight," Journal of Economic Theory, Elsevier, vol. 19(2), pages 321-337, December.
  7. McCallum, Bennett T., 1986. "Some issues concerning interest rate pegging, price level determinacy, and the real bills doctrine," Journal of Monetary Economics, Elsevier, vol. 17(1), pages 135-160, January.
  8. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  9. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
  10. Drazen, Allan, 1981. "Inflation and capital accumulation under a finite horizon," Journal of Monetary Economics, Elsevier, vol. 8(2), pages 247-260.
  11. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
  12. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
  13. David Cass & Menahem E. Yaari, 1965. "Individual Saving, Aggregate Capital Accumulation, and Efficient Growth," Cowles Foundation Discussion Papers 198, Cowles Foundation for Research in Economics, Yale University.
  14. Helpman, Elhanan & Sadka, Efraim, 1979. "Optimal Financing of the Government's Budget: Taxes, Bonds, or Money?," American Economic Review, American Economic Association, vol. 69(1), pages 152-60, March.
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