IDEAS home Printed from https://ideas.repec.org/a/spr/etbull/v8y2020i2d10.1007_s40505-020-00182-9.html
   My bibliography  Save this article

The extrinsic value of low-denomination money holdings

Author

Listed:
  • Allan Hernandez-Chanto

    (University of Queensland)

Abstract

We construct a search-theoretic model in which fiat money is available in low and high denominations and where agents can freely reconvert their money holdings using an exogenous technology that arrives stochastically. We show that if both the arrival rate of the exogenous technology and the discount rate are bounded from below and above, there exists an equilibrium in which low denominations have an extrinsic value in any trade. Furthermore, we show that if one-low-coin portfolios are worthless, two-low-coin and one-high-coin portfolios are traded at par.

Suggested Citation

  • Allan Hernandez-Chanto, 2020. "The extrinsic value of low-denomination money holdings," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 263-280, October.
  • Handle: RePEc:spr:etbull:v:8:y:2020:i:2:d:10.1007_s40505-020-00182-9
    DOI: 10.1007/s40505-020-00182-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40505-020-00182-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s40505-020-00182-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    3. 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.
    4. 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.
    5. Taber, Alexander & Wallace, Neil, 1999. "A Matching Model with Bounded Holdings of Indivisible Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 961-984, November.
    6. Wallace, Neil & Zhu, Tao, 2004. "A commodity-money refinement in matching models," Journal of Economic Theory, Elsevier, vol. 117(2), pages 246-258, August.
    7. 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.
    8. Manjong Lee & Neil Wallace & Tao Zhu, 2005. "Modeling Denomination Structures," Econometrica, Econometric Society, vol. 73(3), pages 949-960, May.
    9. Arthur J. Rolnick & Francois R. Velde & Warren E. Weber, 1997. "The debasement puzzle: an essay on medieval monetary history," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 21(Fall), pages 8-20.
    10. Wallace, Neil, 2003. "Modeling small change: a review article," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1391-1401, September.
    11. Juan Luis Moreno-Villalaz, 1999. "Lessons from the Monetary Experience of Panama: A Dollar Economy with Financial Integration," Cato Journal, Cato Journal, Cato Institute, vol. 18(3), pages 421-439, Winter.
    12. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    13. Telser, L. G., 1995. "Optimal denominations for coins and currency," Economics Letters, Elsevier, vol. 49(4), pages 425-427, October.
    14. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    15. 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.
    16. Wallace, Neil, 2003. "Modeling Small Change: A Review Article," Working Papers 9-03-3, Pennsylvania State University, Department of Economics.
    17. 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.
    18. 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.
    19. Trejos, Alberto, 1999. "Search, Bargaining, Money, and Prices under Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 679-695, August.
    20. Angela Redish & Warren E. Weber, 2011. "A model of commodity money with minting and melting," Staff Report 460, Federal Reserve Bank of Minneapolis.
    21. Jin, Gu & Zhu, Tao, 2019. "Debasements and Small Coins: An Untold Story of Commodity Money," MPRA Paper 93057, University Library of Munich, Germany.
    22. Li, Victor E, 1995. "The Optimal Taxation of Fiat Money in Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 927-942, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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(2‐3), pages 533-549, March.
    2. 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.
    3. Jin, Gu & Zhu, Tao, 2019. "Debasements and Small Coins: An Untold Story of Commodity Money," MPRA Paper 93057, University Library of Munich, Germany.
    4. 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.
    5. Bignon, Vincent & Dutu, Richard, 2017. "Coin Assaying And Commodity Money," Macroeconomic Dynamics, Cambridge University Press, vol. 21(6), pages 1305-1335, September.
    6. Aleksander Berentsen, 2002. "On the Distribution of Money Holdings 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. 43(3), pages 945-954, August.
    7. Dutu, Richard, 2008. "Currency interdependence and dollarization," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1673-1687, December.
    8. Burdett, Kenneth & Trejos, Alberto & Wright, Randall, 2017. "A new suggestion for simplifying the theory of money," Journal of Economic Theory, Elsevier, vol. 172(C), pages 423-450.
    9. Craig, Ben & Waller, C.J.Christopher J., 2004. "Dollarization and currency exchange," Journal of Monetary Economics, Elsevier, vol. 51(4), pages 671-689, May.
    10. Lee, Manjong, 2010. "Carrying cost of money and real effects of denomination structure," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 326-337, March.
    11. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2011. "Information and Liquidity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 355-377, October.
    12. Aleksander Berentsen & Guillaume Rocheteau, 2002. "Money in Bilateral Trade," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 489-506, December.
    13. Bajaj, Ayushi, 2018. "Undefeated equilibria of the Shi–Trejos–Wright model under adverse selection," Journal of Economic Theory, Elsevier, vol. 176(C), pages 957-986.
    14. Kim, Young Sik & Lee, Manjong, 2010. "A model of debit card as a means of payment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1359-1368, August.
    15. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2007. "Friedman Meets Hosios: Efficiency in Search Models of Money," Economic Journal, Royal Economic Society, vol. 117(516), pages 174-195, January.
    16. Araujo, Luis & Guimaraes, Bernardo, 2014. "Coordination in the use of money," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 38-46.
    17. 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, May.
    18. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    19. Manjong Lee, 2007. "Indivisibility and Non-Neutrality of Money," Korean Economic Review, Korean Economic Association, vol. 23, pages 223-242.
    20. Ed Nosal & Guillaume Rocheteau, 2006. "The economics of payments," Policy Discussion Papers, Federal Reserve Bank of Cleveland, issue Feb.

    More about this item

    Keywords

    Convertibility; Denominations; Extrinsic value; Money holdings; Premium;
    All these keywords.

    JEL classification:

    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:etbull:v:8:y:2020:i:2:d:10.1007_s40505-020-00182-9. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: http://www.springer.com .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.