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Modeling Denomination Structures
Author(s) -
Lee Manjong,
Wallace Neil,
Zhu Tao
Publication year - 2005
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.1111/j.1468-0262.2005.00599.x
Subject(s) - pairwise comparison , portfolio , economics , currency , distribution (mathematics) , matching (statistics) , microeconomics , econometrics , monetary economics , financial economics , mathematics , statistics , mathematical analysis
Previous work on the denomination structure of currency treats as exogenous the distribution of transactions and the denominations held by people. Here, by way of a matching model, both are endogenous. In the model, trades in pairwise meetings alternate in time with the opportunity to freely choose a portfolio of denominations and there is a trade‐off between the benefits of small‐denomination money for transacting and the costliness of carrying a large quantity of small‐denomination money. For a given denomination structure, a monetary steady state is shown to exist. The model implies that too small denominations are abandoned.