There is a presumption that fixed and flexible (floating or market-determined) exchange-rate systems are equivalent if prices are flexible. We show that the presumption does not hold in two matching models of money. In both models, (i) currencies are the only assets and all trade is spot trade;...

Chapter 1: 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...