A Tractable Monetary Model Under General Preferences
AbstractConsider the monetary model of Lagos and Wright (JPE 2005) but with general preferences and general production. I show that preferences satisfying UXXUHH – (UXH)2 = 0 is a sufficient condition for the existence and uniqueness of monetary equilibrium with degenerate money distribution. I solve for the entire class of exact solutions to the above non-linear second order partial differential equation. This class of preferences includes ones with constant return to scale, for example, constant elasticity of substitution (CES), and ones used in many other macroeconomics literatures. I also analyze the welfare implication of monetary policy in this economy.
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Bibliographic InfoPaper provided by Bank of Canada in its series Working Papers with number 13-7.
Length: 26 pages
Date of creation: 2013
Date of revision:
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Find related papers by JEL classification:
- E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-03-23 (All new papers)
- NEP-DGE-2013-03-23 (Dynamic General Equilibrium)
- NEP-MAC-2013-03-23 (Macroeconomics)
- NEP-MON-2013-03-23 (Monetary Economics)
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