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On the Optimality of Interest Rate Smoothing

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  • Sergio Rebelo
  • Danyang Xie

Abstract

This paper studies some continuous-time cash-in-advance models in which interest rate smoothing is optimal. We consider both deterministic and stochastic models. In the stochastic case we obtain two results of independent interest: (i) we study what is, to our knowledge, the only version of the neoclassical model under uncertainty that can be solved in closed form in continuous time; and (ii) we show how to characterize the competitive equilibrium of a stochastic continuous time model that cannot be computed by solving a planning problem. We also discuss the scope for monetary policy to improve welfare in an economy with a suboptimal real competitive equilibrium, focusing on the particular example of an economy with externalities.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 5947.

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Date of creation: Feb 1997
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Publication status: published as Journal of Monetary Economics, Vol. 43, no. 2 (April 1999): 263-282.
Handle: RePEc:nbr:nberwo:5947

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  1. Abel, Andrew B., 1985. "Dynamic behavior of capital accumulation in a cash-in-advance model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 55-71, July.
  2. Correia, Isabel & Teles, Pedro, 1996. "Is the Friedman rule optimal when money is an intermediate good?," Journal of Monetary Economics, Elsevier, vol. 38(2), pages 223-244, October.
  3. Charles T. Carlstrom & Timothy S. Fuerst, 1995. "Interest rate rules vs. money growth rules: a welfare comparison in a cash-in-advance economy," Working Paper 9504, Federal Reserve Bank of Cleveland.
  4. Marvin Goodfriend, 1987. "Interest rate smoothing and price level trend-stationarity," Working Paper 87-03, Federal Reserve Bank of Richmond.
  5. Eaton, Jonathan, 1981. "Fiscal Policy, Inflation and the Accumulation of Risky Capital," Review of Economic Studies, Wiley Blackwell, vol. 48(3), pages 435-45, July.
  6. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-77, October.
  7. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-35, April.
  8. Chang, Fwu-Ranq, 1988. "The Inverse Optimal Problem: A Dynamic Programming Approach," Econometrica, Econometric Society, vol. 56(1), pages 147-72, January.
  9. Cohen, Daniel, 1985. "Inflation, wealth and interest rates in an intertemporal optimizing model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 73-85, July.
  10. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer, vol. 2(1), pages 43-68, January.
  11. Stockman, Alan C., 1981. "Anticipated inflation and the capital stock in a cash in-advance economy," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 387-393.
  12. 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.
  13. Yip, C.K. & Wang, P., 1989. "Alternative Approaches To Money And Growth," Papers 8-89-4, Pennsylvania State - Department of Economics.
  14. Kimbrough, Kent P., 1986. "The optimum quantity of money rule in the theory of public finance," Journal of Monetary Economics, Elsevier, vol. 18(3), pages 277-284, November.
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