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A Monetary Theory with Non-degenerate Distributions

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  • Guido Menzio
  • Shouyong Shi
  • Hongfei Sun

Abstract

We construct and analyze a tractable search model of money with a non-degenerate distribution of money holdings. Analytical tractability comes from modeling decentralized exchange as directed search, which makes the monetary steady state block recursive. By adapting lattice-theoretic techniques, we characterize individuals' policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists and provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate. Moreover, we analyze the properties of this distribution.

Suggested Citation

  • Guido Menzio & Shouyong Shi & Hongfei Sun, 2013. "A Monetary Theory with Non-degenerate Distributions," Working Papers tecipa-495, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-495
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    More about this item

    Keywords

    Money; Distribution; Search; Lattice-Theoretic.;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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