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Money and bonds: an equivalence theorem


Abstract: This paper considers four models in which immortal agents face idiosyncratic shocks and trade only a single risk-free asset over time. The four models specify this single asset to be private bonds, public bonds, public money, or private money respectively. I prove that, given an equilibrium in one of these economies, it is possible to pick the exogenous elements in the other three economies so that there is an outcome-equivalent equilibrium in each of them. (The term ?exogenous variables? refers to the limits on private issue of money or bonds, or the supplies of publicly issued bonds or money.)

Keywords: Bonds; Money - Mathematical models;

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Provider: Federal Reserve Bank of Minneapolis

Part of Series: Staff Report

Publication Date: 2007

Number: 393