Abstract
In this note, we present a formal proof of Obstfeld and Rogoff's (1983, 2021) claim that their fractional-currency-backing scheme eliminates the inflationary equilibria in the money-in-utility model. To do so, we fully articulate the optimization problem of consumers who have the option to redeem (part or all of) their cash for a small amount of goods at any date. We also relate the scheme to the Fiscal Theory of the Price Level.
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