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Monetary Theory with Non-degenerate Distributions

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  • Shouyong Shi

    (University of Toronto)

  • Hongfei Sun

    (Queen's University)

  • Guido Menzio

    (University of Pennsylvania)

Abstract

In this paper, we construct a tractable search model of money with a non-degenerate distribution of money holdings. We model search as a directed process in the sense that buyers know the terms of trade before visiting particular sellers, as opposed to undirected search that has dominated the literature. Directed search implies that the buyers who differ in money holdings will optimally choose to visit sellers who offer different terms of trade. With such endogenous separation of buyers, we show that the distribution of money holdings affects individual agents' decisions not directly, but rather indirectly only through a one-dimension variable – the seller's future marginal value of money. This result drastically reduces the state space of individual agents' decisions and makes the model tractable despite that the distribution of money holdings among agents is non-degenerate. We analytically characterize the monetary equilibrium and prove existence of a unique monetary steady state, using lattice-theoretic techniques. We also show that the non-degenerate distribution of money has desirable properties. Finally, we provide a calibrated example to illustrate the quantitative features of the steady state.

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Bibliographic Info

Paper provided by Society for Economic Dynamics in its series 2009 Meeting Papers with number 172.

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Date of creation: 2009
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Handle: RePEc:red:sed009:172

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Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. A Monetary Theory with Non-degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2013-09-09 00:45:08
  2. A Monetary Theory with Non-Degenerate Distributions
    by Christian Zimmermann in NEP-DGE blog on 2011-04-11 02:44:40
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Cited by:
  1. Stephen D. Williamson & Randall Wright, 2010. "New Monetarist Economics: models," Staff Report 443, Federal Reserve Bank of Minneapolis.
  2. Mahmoudi, Babak, 2013. "Open-Market Operations, Asset Distributions, and Endogenous Market Segmentation," MPRA Paper 50089, University Library of Munich, Germany.
  3. Zeno Enders, 2010. "Heterogeneous consumers, segmented asset markets,and the effects of monetary policy," Bonn Econ Discussion Papers bgse08_2010, University of Bonn, Germany.

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