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Welfare characterization of monetary-applied models and three implications

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  • Pessoa, Samuel de Abreu
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    This paper demonstrates that the applied monetary models - the Sidrauski-type models and the cash-in-advance models, augmented with a banking sector that supplies money substitutes services - imply trajectories which are Pareto-Optimum restricted to a given path of the real quantity of money. As a consequence, three results follow: First, Bailey’s formula to evaluate the welfare cost of inflation is indeed accurate, if the longrun capital stock does not depend on the inflation rate and if the compensate demand is considered. Second, the relevant money demand concept for this issue - the impact of inflation on welfare - is the monetary base. Third, if the long-run capital stock depends on the inflation rate, this dependence has a second-order impact on welfare, and, conceptually, it is not a distortion from the social point of view. These three implications moderate some evaluations of the welfare cost of the perfect predicted inflation.

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    Paper provided by FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series FGV/EPGE Economics Working Papers (Ensaios Economicos da EPGE) with number 378.

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    Date of creation: 01 Apr 2000
    Handle: RePEc:fgv:epgewp:378
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    1. Harold L. Cole & Narayana R. Kocherlakota, 1998. "Zero nominal interest rates: why they're good and how to get them," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 2-10.
    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. English, William B., 1999. "Inflation and financial sector size," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 379-400, December.
    4. Thomas F. Cooley & Gary D. Hansen, 1991. "The welfare costs of moderate inflations," Proceedings, Federal Reserve Bank of Cleveland, pages 483-518.
    5. Barro, Robert J, 1972. "Inflationary Finance and the Welfare Cost of Inflation," Journal of Political Economy, University of Chicago Press, vol. 80(5), pages 978-1001, Sept.-Oct.
    6. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    7. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
    8. Gray, Jo Anna, 1984. "Dynamic Instability in Rational Expectations Models: An Attempt to Clarify," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 93-122, February.
    9. 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.
    10. Gillman, Max, 1993. "The welfare cost of inflation in a cash-in-advance economy with costly credit," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 97-115, February.
    11. Saving, Thomas R, 1971. "Transactions Costs and the Demand for Money," American Economic Review, American Economic Association, vol. 61(3), pages 407-420, June.
    12. 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.
    13. 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.
    14. Drazen, Allan, 1979. "The optimal rate of inflation revisited," Journal of Monetary Economics, Elsevier, vol. 5(2), pages 231-248, April.
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