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Keywords:Money - Mathematical models 

Working Paper
Short-run and long-run effects of changes in money in a random matching model

Using an existing random matching model of money, I show that a once-for-all change in the quantity of money has short-run effects that are predominantly real and long-run effects that are in the direction of being predominantly nominal provided (i) the quantity of money is random and (ii) people learn about what happened to it only with a lag. The change in the quantity of money comes about through a random process of discovery that does not permit anyone to deduce the aggregate amount discovered when the change actually occurs.
Working Papers , Paper 568

Working Paper
Friedman meets Hosios: efficiency in search models of money

In this paper the authors study the inefficiencies of the monetary equilibrium and optimal monetary policies in a search economy. They show that the same frictions that give fiat money a positive value generate an inefficient quantity of goods in each trade and an inefficient number of trades (or search decisions). The Friedman rule eliminates the first inefficiency, and the Hosios rule the second. A monetary equilibrium attains the social optimum if and only if both rules are satisfied. When the two rules cannot be satisfied simultaneously, which occurs in a large set of economies, optimal ...
Working Papers (Old Series) , Paper 0408

Discussion Paper
Search, money, and inflation under private information

I study a version of the Lagos-Wright (2003) model of monetary exchange in which buyers have private information about their tastes and sellers make take-it-or-leave-it-offers (i.e., have the power to set prices and quantities). The introduction of imperfect information makes the existence of monetary equilibrium a more robust feature of the environment. In general, the model has a monetary steady state in which only a proportion of the agents hold money. Agents who do not hold money cannot participate in trade in the decentralized market. The proportion of agents holding money is endogenous ...
Discussion Paper / Institute for Empirical Macroeconomics , Paper 142

Report
Money and bonds: an equivalence theorem

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 ...
Staff Report , Paper 393

Report
On simplifying the theory of fiat money

This paper argues that versions of Samuelson/Cass-Yaari overlapping-generations consumption-loans models ought to be taken seriously as models of fiat money. The case is made by summarizing and interpreting what these models have to say about fiat money and by arguing that these properties are robust in the sense that they can be expected to hold in any model of fiat money. ; Two of the properties establish the connection between, on the one hand, the existence of equilibria of which value is attached to a fixed stock of fiat money and, on the other hand, the optimality of such equilibria and ...
Staff Report , Paper 22

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