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Precautionary Balances And The Velocity Of Circulation Of Money

  • Miquel Faig

    ()

  • Belén Jerez

    ()

Inflation, as a tax on money, gives buyers an incentive to reduce their money balances. Sellers are aware of this incentive and try to attract buyers by announcing price offers that induce buyers to spend a larger fraction of their money. We examine the effect of inflation on equilibrium price offers and associated trades in a competitive search environment where buyers experience preference shocks after they are matched with a seller. With full information,equilibrium price offers consist of a flat fee applied equally to all buyers independently of the quantities they purchase. If buyers'preferences are private information, sellers must charge more to buyers who purchase larger quantities due to incentive compatibility restrictions. In this case, equilibrium price offers consist of a non-linear price schedule. However, as inflation rises, price schedules become relatively flat. This implies that buyers with a low desire to consume purchase higher quantities and spend their cash more rapidly. Buyers with a high desire to consume purchase lower quantities because, as their money balances fall, they become liquidity constrained. This is in contrast with the full information benchmark where inflation reduces the quantities purchased by all buyers. The equilibrium is efficient at the Friedman rule and inflation reduces welfare both with full and private information.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we051406.

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Date of creation: Mar 2005
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Handle: RePEc:cte:werepe:we051406
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  1. Robert E. Lucas, Jr., 2000. "Inflation and Welfare," Econometrica, Econometric Society, vol. 68(2), pages 247-274, March.
  2. Guillaume Rocheteau & Randall Wright, 2004. "Money in search equilibrium, in competitive equilibrium, and in competitive search equilibrium," Working Paper 0405, Federal Reserve Bank of Cleveland.
  3. Miquel Faig, 2004. "Divisible Money in an Economy with Villages," Levine's Bibliography 122247000000000159, UCLA Department of Economics.
  4. Robert J. Hodrick & Narayana Kocherlakota & Deborah Lucas, 1989. "The Variability of Velocity in Cash-In-Advance Models," NBER Working Papers 2891, National Bureau of Economic Research, Inc.
  5. Faig, Miquel & Jerez, Belen, 2005. "A theory of commerce," Journal of Economic Theory, Elsevier, vol. 122(1), pages 60-99, May.
  6. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  7. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  8. Moen, E.R., 1995. "Competitive Search Equilibrium," Memorandum 37/1995, Oslo University, Department of Economics.
  9. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
  10. 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.
  11. Svensson, Lars E O, 1985. "Money and Asset Prices in a Cash-in-Advance Economy," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 919-44, October.
  12. John W. Kendrick, 1961. "Productivity Trends in the United States," NBER Books, National Bureau of Economic Research, Inc, number kend61-1, 07.
  13. Robert E. Lucas Jr. & Nancy L. Stokey, 1984. "Money and Interest in Cash-In-Advance Economy," Discussion Papers 628, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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