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A Tractable Model of Monetary Exchange with Ex-post Heterogeneity

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  • Guillaume Rocheteau
  • Pierre-Olivier Weill
  • Tsz-Nga Wong

Abstract

We construct a continuous-time, pure currency economy with the following three key features. First, our modelled economy incorporates idiosyncratic uncertainty—households receive infrequent and random opportunities of lumpy consumption—and displays an endogenous, non-degenerate distribution of money holdings. Second, the model is tractable: properties of equilibria can be obtained analytically, and equilibria can be solved in closed form in a variety of cases. Third, it admits as a special, limiting case the quasi-linear economy of Lagos and Wright (2005) and Rocheteau and Wright (2005). We use our modeled economy to obtain new insights into the effects of anticipated inflation on individual spending behavior, the social benefits and output effects of inflationary transfer schemes, and transitional dynamics following unanticipated monetary shocks.

Suggested Citation

  • Guillaume Rocheteau & Pierre-Olivier Weill & Tsz-Nga Wong, 2015. "A Tractable Model of Monetary Exchange with Ex-post Heterogeneity," NBER Working Papers 21179, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:21179
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    Cited by:

    1. Curran, Michael & Dressler, Scott J., 2020. "Preferences, inflation, and welfare," European Economic Review, Elsevier, vol. 130(C).
    2. Boel, Paola, 2018. "The redistributive effects of inflation and the shape of money demand," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 208-219.
    3. Galo Nuño & Carlos Thomas, 2020. "Optimal Monetary Policy with Heterogeneous Agents," CESifo Working Paper Series 8670, CESifo.
    4. Angus C. Chu & Guido Cozzi & Haichao Fang & Yuichi Furukawa & Chih-Hsing Liao, 2019. "Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 34, pages 141-164, October.
    5. Jung, Kuk Mo, 2018. "Uncertainty-induced dynamic inefficiency and the optimal inflation rate," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 486-506.
    6. Tsz-Nga Wong & Pierre-Olivier Weill & Guillaume Rocheteau, 2015. "Long-Run and Short-Run Effects of Money Injections," 2015 Meeting Papers 793, Society for Economic Dynamics.
    7. Guillaume Rocheteau & Pierre-Olivier Weill & Tsz-Nga Wong, 2015. "Working through the Distribution: Money in the Short and Long Run," NBER Working Papers 21779, National Bureau of Economic Research, Inc.
    8. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Tsz-Nga, 2021. "An heterogeneous-agent New-Monetarist model with an application to unemployment," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 64-90.
    9. Lippi, Francesco & Ragni, Stefania & Trachter, Nicholas, 2015. "Optimal monetary policy with heterogeneous money holdings," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 339-368.
    10. Huber, Samuel & Kim, Jaehong, 2020. "An overlapping generations model for monetary policy analysis," European Economic Review, Elsevier, vol. 125(C).
    11. Hu, Tai-Wei & Shmaya, Eran, 2019. "Unique monetary equilibrium with inflation in a stationary Bewley–Aiyagari model," Journal of Economic Theory, Elsevier, vol. 180(C), pages 368-382.
    12. Jonathan Chiu & Miguel Molico, 2021. "Short-Run Dynamics in a Search-Theoretic Model of Monetary Exchange," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 133-155, October.
    13. Athanasios Geromichalos & Kuk Mo Jung, 2019. "Monetary policy and efficiency in over‐the‐counter financial trade," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 52(4), pages 1699-1754, November.
    14. Jonathan Chiu & Miguel Molico, 2021. "Short-Run Dynamics in a Search-Theoretic Model of Monetary Exchange," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 133-155, October.
    15. Angus C. Chu & Guido Cozzi & Haichao Fang & Yuichi Furukawa & Chih-Hsing Liao, 2019. "Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 34, pages 141-164, October.
    16. Russell Wong & Cathy Zhang & Guillaume Rocheteau, 2017. "Lending Relationships, Banking Crises and Optimal Monetary Policies," 2017 Meeting Papers 152, Society for Economic Dynamics.
    17. Galo Nuno & Benjamin Moll, 2018. "Social Optima in Economies with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 150-180, April.
    18. Galo Nuño & Benjamin Moll, 2015. "Controlling a distribution of heterogeneous agents," Working Papers 1533, Banco de España.
    19. Wong, Tsz-Nga, 2016. "Monetary exchange and the irreducible cost of inflation," Journal of Economic Theory, Elsevier, vol. 164(C), pages 218-229.
    20. Herrenbrueck, Lucas, 2019. "Frictional asset markets and the liquidity channel of monetary policy," Journal of Economic Theory, Elsevier, vol. 181(C), pages 82-120.

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    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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