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Intertemporal substitution and smoothness of consumption

Lawrence Christiano

No 427, Working Papers from Federal Reserve Bank of Minneapolis

Abstract: We prove the general existence of steady states with positive consumption in an N goods and fiat money version of the Kiyotaki-Wright (?On money as a median of exchange,? Journal of Political Economy 1989, 97 (4), 927?54) model by admitting mixed strategies. We also show that there always exists a steady state in which everyone accepts a least costly-to-store object. In particular, if fiat money is one such object, then there always exists a monetary steady state. We also establish some other properties of steady states and comment on the relationship between steady states and (incentive) feasible allocations.

Date: 1987
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