The Extrinsic Value of Low-Denomination Money Holdings

Hernandez-Chanto, Allan (2016): The Extrinsic Value of Low-Denomination Money Holdings.

Abstract

There have been many episodes in history where low-denomination money holdings have been exchanged with a premium over its face value. The most recent occurred in Panama only twenty five years ago, under a modern banking system. In such episodes, even where there is an entity capable to provide convertibility of money holdings at a fixed rate, and when agents expect this rate to prevail in the long run, arbitrage possibilities in the denomination of money arise as a consequence of a shortage of liquid assets and the presence of low prices in the economy. Despite of its relevance and recurrence, this phenomenon cannot be explained by current models of fiat money. To explain it we need a model where: (i) fiat money comes in different denominations which are used as a medium of exchange, (ii) there is an entity that provides convertibility of denominations at fixed rate, (iii) the natural rate is a feasible equilibrium of the model, and (iv) there are parameterizations where low denomination money holdings are given an extrinsic value. In this paper we build a money search model with all this characteristics and determine theoretically the specific conditions under which such equilibrium naturally arises.

• Item Type: MPRA Paper
• Language: English
• Keywords: Convertibility, Extrinsic value, Money holdings, Poisson technology
• Subjects: E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E50 - General; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy

References

Berentsen A. and G. Rocheteau (2002). ``On the Efficiency of Monetary Exchange: How Divisibility of Money Matters,'' Journal of Monetary Economics, 43, 945-954.

Berentsen, A. et al. (2002). ``Indivisibilities, Lotteries and Monetary Exchange,'' Journal of Economic Theory, 107, 70-94.

B. Champ (2007). ``Private Money in our Past, Present and Future,'' Economic comment, Federal Reserve Bank of Cleveland.

Lee, M. et al., (2005), ``Modeling Denomination Structures,'' Econometrica, 73, 949-960.

Lee, M. and N. Wallace, (2006), ``Optimal Divisibility of Money when Money is Costly to Produce,'' Review of Economic Dynamics, 9, 541-556.

V. Li (1995). ``The Optimal Taxation of Fiat Money in Search Equilibrium,'' International Economic Review, 36, 927-942.

J. Moreno-Villalaz (1999). ``Lessons from the Monetary Experience of Panama: A Dollar Economy with Financial Integration,'' Cato Journal, 18, 421-439.

Redish, A. and W. Weber (2011a). ``Coin Sizes and Payments in Commodity Money Systems,'' Macroeconomic Dynamics, 15, 62-82.

Redish, A. and W. Weber (2011b). ``A Model of Commodity Money with Minting and Melting,'' Staff Report 460, Federal Reserve Bank of Minneapolis.

Rolnick, A. et al. (1996). ``The Debasement Puzzle: Essay in Medieval Monetary History,'' FRBM Quarterly Review, 21, 8-20.

A. Rubinstein (1982). ``Perfect Equilibrium in a Bargaining Model,'' Econometrica, 1982, 50, 97-109.

S. Shi (1995). ``Money and Prices: A Model of Search and Bargaining,'' Journal of Economic Theory, 1995, 67, 467-498.

Shi, S., (1997), ``A Divisible Search Model of Fiat Money,'' Econometrica, 64, 75-102.

Sargent, T. and F. Velde, (2002), The Big Problem of Small Change, Princeton: Princeton University Press.

Smith A, An Inquiry into the Wealth of Nations (1776). Methuen, London, 1961.

Tabber, A, and N. Wallace, (1999), ``A Matching Model with Bounded Holdings of Indivisible Money,'' International Economic Review, 40, 961-984.

Trejos, A. and R. Wright (1995). ``Search, Bargaining, Money and Prices,'' Journal of Political Economy, 103, 118-141.

A. Trejos (1999). ``Search, Bargaining, Money and Prices under Private Information,'' International Economic Review, 40, 679-695.

A. Trejos (2007). ``Divisibility of Money,'' Mimeo, Instituto Centroamericano de Administracin de Empresas.

N. Wallace (2003). ``Modeling Small Change: A Review Article,'' Journal of Monetary Economics, 50, 1391-1401.

Wallace, N. and T. Zhu (2004). ``A Commodity-Money Refinement in Matching Models,'' Journal of Economic Theory, 117, 246-258.