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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.

Suggested Citation

  • Sergio Rebelo & Danyang Xie, 1997. "On the Optimality of Interest Rate Smoothing," NBER Working Papers 5947, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:5947
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    References listed on IDEAS

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    1. 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;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
    2. 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.
    3. 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.
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    6. 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.
    7. Goodfriend, Marvin, 1987. "Interest rate smoothing and price level trend-stationarity," Journal of Monetary Economics, Elsevier, vol. 19(3), pages 335-348, May.
    8. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-435, April.
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    11. 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 750-777, October.
    12. Wang, Ping & Yip, Chong K, 1992. "Alternative Approaches to Money and Growth," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(4), pages 553-562, November.
    13. Chang, Fwu-Ranq, 1988. "The Inverse Optimal Problem: A Dynamic Programming Approach," Econometrica, Econometric Society, vol. 56(1), pages 147-172, January.
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    More about this item

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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