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Calculating Welfare Costs of Inflation in a Search Model with Preference Heterogeneity: A Calibration Exercise

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Author Info
Pedro de Araujo () (Indiana University Bloomington)
Abstract

Using U.S. cross-sectional data, this paper calculates the welfare cost of a 10% inflation for different individuals and finds that the difference in cost between the poorest 10%, measured by their expenditure share on cash goods, and the richest 10% is in the order of 176%. That is, a poor person is on average willing to forgive 176% more of their total consumption in order to have inflation reduced from 10% to 0. In absolute terms this represents a cost of 2.687% of consumption for the poorest and 0.974% for the richest. I accomplish this by introducing preference heterogeneity in a monetary search model first developed by Lagos and Wright (2005), and calibrate the model to match the expenditure share on cash goods and total expenditures for each individual type using data from the Consumer Expenditure Survey (CEX) for the second quarter of 1996. I also show that this welfare difference increases to 210% (10.522% for the poorest 10% and 3.401% for the richest 10%) whenever frictions in the use of money are imposed (holdup problem). The ability to explicitly model these frictions is the advantage of using this model. Hence, inflation in this framework, as other studies have shown, acts as a regressive consumption tax; and this regressiveness is augmented with the holdup problem.

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Paper provided by Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington in its series Caepr Working Papers with number 2008-012.

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Length: 36 pages
Date of creation: Apr 2008
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Handle: RePEc:inu:caeprp:2008-012

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Keywords: Inflation; welfare; search; holdup;

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Find related papers by JEL classification:
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

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  1. 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)
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  2. Easterly, William & Fischer, Stanley, 2001. "Inflation and the Poor," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(2), pages 160-78, May.
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  3. 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. [Downloadable!] (restricted)
  4. Casey B. Mulligan & Xavier Sala-i-Martin, 2000. "Extensive Margins and the Demand for Money at Low Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 961-991, October. [Downloadable!] (restricted)
  5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [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. Wu, Yangru & Zhang, Junxi, 2000. "Monopolistic competition, increasing returns to scale, and the welfare costs of inflation," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 417-440, October. [Downloadable!] (restricted)
  8. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August. [Downloadable!] (restricted)
  9. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "Heterogeneity, Redistribution, And The Friedman Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 437-454, 05. [Downloadable!] (restricted)
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  10. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  11. Arthur B. Kennickell & Martha Starr-McCluer & Annika E. Sunden, 1997. "Family finances in the U.S.: recent evidence from the Survey of Consumer Finances," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Jan, pages 1-24. [Downloadable!]
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