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The variability of money velocity in a generalized cash-in-advance model

This paper presents a general equilibrium model of money demand where the velocity of money changes in response to endogenous fluctuations in the interest rate. The parameter space can be divided into two subsets: one where velocity is constant and equal to one as in cash- in-advance models, and another one where velocity fluctuates as in Baumol (1952). Despite its simplicity, in terms of paramaters to calibrate, the model performs surprisingly well. In particular, it approximates the variability of money velocity observed in the U.S. for the post-war period. The model is then used to analyze the welfare costs of inflation under uncertainty. This application calculates the errors derived from computing the costs of inflation with deterministic models. It turns out that the size of this difference is small, at least for the levels of uncertainty estimated for the U.S. economy.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/320.pdf
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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 320.

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Date of creation: Sep 1998
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Handle: RePEc:upf:upfgen:320
Contact details of provider: Web page: http://www.econ.upf.edu/

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  1. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
  2. 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.
  3. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
  4. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
  5. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May.
  6. Julio J. Rotemberg, 1982. "A Monetary Equilibrium Model with Transactions Costs," NBER Working Papers 0978, National Bureau of Economic Research, Inc.
  7. Hugo Rodríguez, 1998. "Monetary unions and the transaction cost savings of a single currency," Economics Working Papers 291, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Guidotti, Pablo E. & Vegh, Carlos A., 1993. "The optimal inflation tax when money reduces transactions costs : A reconsideration," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 189-205, April.
  9. Schreft, S L, 1992. "Transaction Costs and the Use of Cash and Credit," Economic Theory, Springer, vol. 2(2), pages 283-96, April.
  10. Fratianni, Michele & von Hagen, Juergen, 1990. "The European Monetary System ten years after," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 173-241, January.
  11. Chang, Fwu-Ranq, 1999. "Homogeneity and the Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 720-30, November.
  12. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-20, April.
  13. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-77, June.
  14. Grossman, Sanford & Weiss, Laurence, 1983. "A Transactions-Based Model of the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 73(5), pages 871-80, December.
  15. Robert E. Lucas, Jr., 1994. "On the welfare cost of inflation," Working Papers in Applied Economic Theory 94-07, Federal Reserve Bank of San Francisco.
  16. Hodrick, Robert J & Kocherlakota, Narayana R & Lucas, Deborah, 1991. "The Variability of Velocity in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 358-84, April.
  17. Lucas, Robert E., 1984. "Money in a theory of finance," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 21(1), pages 9-46, January.
  18. James H. Stock & Mark W. Watson, 1987. "Interpreting Evidence on Money-Income Causality," NBER Working Papers 2228, National Bureau of Economic Research, Inc.
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