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A Difficulty with the Optimum Quantity of Money
Truman Bewley
Abstract
A general equilibrium model with money and finitely many immortal consumers is studied. Consumers hold money for self-insurance against random fluctuations. Money may earn interest. Equilibria exist if the rate of interest is sufficiently small. Equilibria may not exist if the rate of interest is too close to some consumer's rate of pure time preference. It follows that Pareto optimality may not be guaranteed by paying interest on money.
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