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Money and Price Posting under Private Information

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  • Mei Dong
  • Janet Hua Jiang

Abstract

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.

Suggested Citation

  • Mei Dong & Janet Hua Jiang, 2011. "Money and Price Posting under Private Information," Staff Working Papers 11-22, Bank of Canada.
  • Handle: RePEc:bca:bocawp:11-22
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    References listed on IDEAS

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    Cited by:

    1. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    2. Shao, Enchuan, 2014. "The threat of counterfeiting in competitive search equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 168-185.
    3. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    4. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    5. Allen Head & Lucy Qian Liu & Guido Menzio & Randall Wright, 2012. "Sticky Prices: A New Monetarist Approach," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 939-973, October.
    6. Stella Xiuhua Huangfu, 2018. "The Effects of Inflation on Market Participation and Search Intensity," The Economic Record, The Economic Society of Australia, vol. 94(304), pages 25-38, March.
    7. Lucy Qian Liu & Liang Wang & Randall Wright, 2009. "“On the ‘Hot Potato Effect’ of Inflation: Intensive versus Extensive Marginsâ€," PIER Working Paper Archive 09-040, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Janet Hua Jiang & Enchuan Shao, 2020. "The Cash Paradox," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 177-197, April.

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    More about this item

    Keywords

    Economic models; Inflation and prices;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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