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Optimal Provision of Costly Currency

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  • WEI QIAO
  • NEIL WALLACE

Abstract

Items of currency wear out and must be replaced. In The Mechanism of Exchange, Jevons recommended that the government bear the cost of replacing worn gold coins with new coins instead of having the holders of worn coins bear the cost. We study the optima of a minimally interesting model: money is essential and indivisible so that physical depreciation is not neutral; and there are alternative ways of financing the costly replacement of worn currency. The optima contradict the Jevons proposal. People with worn currency bear a cost that makes them indifferent between getting a new unit and discarding the useless worn unit, a cost that exceeds the physical cost of replacement.

Suggested Citation

  • Wei Qiao & Neil Wallace, 2021. "Optimal Provision of Costly Currency," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(2-3), pages 535-554, March.
    • Handle: RePEc:wly:jmoncb:v:53:y:2021:i:2-3:p:535-554
    DOI: 10.1111/jmcb.12777
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    References listed on IDEAS

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    1. Deviatov, Alexei & Wallace, Neil, 2009. "A model in which monetary policy is about money," Journal of Monetary Economics, Elsevier, vol. 56(3), pages 283-288, April.
    2. 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.
    3. Neil Wallace, 2014. "Optimal money creation in "pure currency" economies: a conjecture," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 259-274.
    4. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    5. Ricardo de O. Cavalcanti & Neil Wallace, 1999. "Inside and outside money as alternative media of exchange," Proceedings, Federal Reserve Bank of Cleveland, pages 443-468.
    6. Alexei Deviatov & Neil Wallace, 2014. "Optimal inflation in a model of inside money," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 287-293, April.
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