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Return on Commodity Money, Small Change Problems, and Fiat Money

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  • YOUNG SIK KIM
  • MANJONG LEE

Abstract

We construct a search‐theoretic model of commodity money where a penny is an indivisible silver coin that can be either melted into a silver bar yielding a positive return or used as a medium of exchange. In equilibria where the rate of return on silver is sufficiently high, small change problems arise in the form of too‐much‐trade inefficiency because of a too‐high value of a penny and no‐trade inefficiency because of a shortage of coins in circulation. In the fiat money system, however, trades are not affected at all by the rate of return on silver and the value of a penny is determined by its medium‐of‐exchange role without incurring the loss in efficiency due to small change problems.
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  • Young Sik Kim & Manjong Lee, 2012. "Return on Commodity Money, Small Change Problems, and Fiat Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44, pages 533-549, March.
  • Handle: RePEc:mcb:jmoncb:v:44:y:2012:i::p:533-549
    DOI: j.1538-4616.2012.00500.x
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    1. Berentsen, Aleksander & Rocheteau, Guillaume, 2002. "On the efficiency of monetary exchange: how divisibility of money matters," Journal of Monetary Economics, Elsevier, vol. 49(8), pages 1621-1649, November.
    2. Zhu, Tao, 2005. "Existence of a monetary steady state in a matching model: divisible money," Journal of Economic Theory, Elsevier, vol. 123(2), pages 135-160, August.
    3. Wallace, Neil & Zhou, Ruilin, 1997. "A model of a currency shortage," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 555-572, December.
    4. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    5. Sargent, Thomas J & Velde, Francois R, 1999. "The Big Problem of Small Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 137-161, May.
    6. Glassman, Debra & Redish, Angela, 1988. "Currency depreciation in early modern England and France," Explorations in Economic History, Elsevier, vol. 25(1), pages 75-97, January.
    7. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-1038, November.
    8. Manjong Lee & Neil Wallace & Tao Zhu, 2005. "Modeling Denomination Structures," Econometrica, Econometric Society, vol. 73(3), pages 949-960, May.
    9. Berentsen, Aleksander, 2000. "Money Inventories in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(2), pages 168-178, May.
    10. Wallace, Neil, 2003. "Modeling small change: a review article," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1391-1401, September.
    11. Zhu, Tao & Wallace, Neil, 2007. "Pairwise trade and coexistence of money and higher-return assets," Journal of Economic Theory, Elsevier, vol. 133(1), pages 524-535, March.
    12. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    13. Redish, Angela & Weber, Warren E., 2011. "Coin Sizes And Payments In Commodity Money Systems," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S1), pages 62-82, April.
    14. Young Sik Kim & Manjong Lee, 2009. "Wealth Distribution, Inflation Tax, and Societal Benefits of Illiquid Bonds," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(5), pages 809-830, August.
    15. Wallace, Neil, 2003. "Modeling Small Change: A Review Article," Working Papers 9-03-3, Pennsylvania State University, Department of Economics.
    16. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    17. Manjong Lee & Neil Wallace, 2006. "Optimal divisibility when money is costly to produce," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(3), pages 541-556, July.
    18. Francois R. Velde, 1998. "Lessons from the history of money," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 22(Q I), pages 2-16.
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    1. Lee, Manjong, 2013. "Coexistence and welfare cost of inflation," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 23-32.

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