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Money and Price Posting under Private Information

  • Mei Dong
  • Janet Hua Jiang

We study price posting with undirected search in a search-theoretic monetary model with divisible money and divisible goods. Ex ante homogeneous buyers experience match specific preference shocks in bilateral trades. The shocks follow a continuous distribution and the realization of the shocks is private information. We show that generically there exists a unique price posting monetary equilibrium. In equilibrium, each seller posts a continuous pricing schedule that exhibits quantity discounts. Buyers spend only when they have high enough preferences. As their preferences are higher, they spend more till they become cash constrained. Since inflation reduces the future purchasing power of money and the value of retaining money, buyers tend to spend their money faster in response to higher inflation. In particular, more buyers choose to spend money and buyers spend on average a higher fraction of their money. The model naturally captures the hot potato effect of inflation along both the intensive margin and the extensive margin.

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Paper provided by Bank of Canada in its series Working Papers with number 11-22.

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Length: 32 pages
Date of creation: 2011
Date of revision:
Handle: RePEc:bca:bocawp:11-22
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  1. Ricardo Lagos & Guillaume Rocheteau, 2005. "Inflation, Output, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 495-522, 05.
  2. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
  3. Wright, Randall, 2010. "A uniqueness proof for monetary steady state," Journal of Economic Theory, Elsevier, vol. 145(1), pages 382-391, January.
  4. Huberto M. Ennis, 2009. "Avoiding The Inflation Tax," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 607-625, 05.
  5. Nosal, Ed, 2011. "Search, Welfare, And The “Hot Potato” Effect Of Inflation," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 313-326, September.
  6. Miquel Faig & Belén Jerez, 2006. "Inflation, Prices, and Information in Competitive Search," Working Papers tecipa-215, University of Toronto, Department of Economics.
  7. Thomas, Lionel, 2002. "Non-linear pricing with budget constraint," Economics Letters, Elsevier, vol. 75(2), pages 257-263, April.
  8. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, 01.
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  12. Elisabeth Curtis & Randall Wright, 2002. "Price setting, price dispersion, and the value of money - or - The law of two prices," Working Paper 0209, Federal Reserve Bank of Cleveland.
  13. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  14. Huberto M. Ennis, 2005. "Search, Money, and Inflation under Private Information," 2005 Meeting Papers 135, Society for Economic Dynamics.
  15. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  16. Jafarey, Saqib & Masters, Adrian, 2003. " Output, Prices, and the Velocity of Money in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(6), pages 871-88, December.
  17. Tai-wei Hu & John Kennan & Neil Wallace, 2007. "Coalition-Proof Trade and the Friedman Rule in the Lagos-Wright Model," NBER Working Papers 13310, National Bureau of Economic Research, Inc.
  18. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
  19. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
  20. Che, Yeon-Koo & Gale, Ian, 2000. "The Optimal Mechanism for Selling to a Budget-Constrained Buyer," Journal of Economic Theory, Elsevier, vol. 92(2), pages 198-233, June.
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