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Measuring the Welfare Costs of Inflation in a Life-cycle Model

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Author Info
Paul Gomme () (Department of Economics, Concordia University)

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Abstract

In macroeconomics, life-cycle models are typically used to address exclusively life-cycle issues. This paper shows that modeling the life-cycle may be important when addressing public policy issues, in this case the welfare costs of inflation. In the representative agent model, the optimal inflation rate is characterized by the Friedman rule: deflate at the real interest rate. In the corresponding life-cycle model, the optimal inflation rate is quite high: for the benchmark calibration, it is around 95% per annum. Much of the paper is concerned with understanding this result. Briefly, in the life-cycle model there are distributional consequences of injecting money via lump-sum transfers. The net effect is to transfer income from old, rich agents to young, poor ones. These transfers twist the age-utility profile in a way that agents find desirable from a lifetime utility point of view. A second issue concerns how to assess the costs of inflation in a life-cycle model. Metrics that are equivalent in the representative agent model can give very different answers in a life-cycle model.

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Paper provided by Concordia University, Department of Economics in its series Working Papers with number 08001.

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Length: 49 pages
Date of creation: Aug 2008
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Handle: RePEc:crd:wpaper:08001

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Related research
Keywords: monetary policy; inflation; welfare costs; life-cycle model;

Find related papers by JEL classification:
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving

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  1. Cooley, Thomas F. & Hansen, Gary D., 1992. "Tax distortions in a neoclassical monetary economy," Journal of Economic Theory, Elsevier, vol. 58(2), pages 290-316, December. [Downloadable!] (restricted)
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  2. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  3. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September. [Downloadable!] (restricted)
    Other versions:
  4. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Erosa, Andres & Ventura, Gustavo, 2002. "On inflation as a regressive consumption tax," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 761-795, May. [Downloadable!] (restricted)
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  7. Imrohoroglu, Ayse, 1992. "The welfare cost of inflation under imperfect insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 79-91, January. [Downloadable!] (restricted)
  8. Gomme, Paul & Rupert, Peter, 2007. "Theory, measurement and calibration of macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 460-497, March. [Downloadable!] (restricted)
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  9. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
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