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A Tractable Model of Monetary Exchange with Ex-Post Heterogeneity

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  • Guillaume Rocheteau
  • Pierre-Olivier Weill
  • Russell Wong

Abstract

We construct a continuous-time, New-Monetarist economy with general preferences that displays an endogenous, non-degenerate distribution of money holdings. Properties of equilibria are obtained analytically and equilibria are solved in closed form in a variety of cases. We study policy as incentive-compatible transfers financed with money creation. Lump-sum transfers are welfare-enhancing when labor productivity is low, but regressive transfers achieve higher welfare when labor productivity is high. We introduce illiquid government bonds and draw implications for the existence of liquidity-trap equilibria and policy mix in terms of \"helicopter drops\" and open-market operations.

Suggested Citation

  • Guillaume Rocheteau & Pierre-Olivier Weill & Russell Wong, 2017. "A Tractable Model of Monetary Exchange with Ex-Post Heterogeneity," Working Paper 17-6, Federal Reserve Bank of Richmond.
  • Handle: RePEc:fip:fedrwp:17-06
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    Cited by:

    1. Huber, Samuel & Kim, Jaehong, 2020. "An overlapping generations model for monetary policy analysis," European Economic Review, Elsevier, vol. 125(C).
    2. Curran, Michael & Dressler, Scott J., 2020. "Preferences, inflation, and welfare," European Economic Review, Elsevier, vol. 130(C).
    3. 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.
    4. Galo Nuño & Carlos Thomas, 2020. "Optimal Monetary Policy with Heterogeneous Agents," CESifo Working Paper Series 8670, CESifo.
    5. 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.
    6. Athanasios Geromichalos & Kuk Mo Jung, 2019. "Monetary policy and efficiency in over-the-counter financial trade," Canadian Journal of Economics, Canadian Economics Association, vol. 52(4), pages 1699-1754, November.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Russell Wong & Cathy Zhang & Guillaume Rocheteau, 2017. "Lending Relationships, Banking Crises and Optimal Monetary Policies," 2017 Meeting Papers 152, Society for Economic Dynamics.
    14. 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.
    15. Galo Nuño & Benjamin Moll, 2015. "Controlling a distribution of heterogeneous agents," Working Papers 1533, Banco de España.
    16. Wong, Tsz-Nga, 2016. "Monetary exchange and the irreducible cost of inflation," Journal of Economic Theory, Elsevier, vol. 164(C), pages 218-229.
    17. 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.
    18. 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.
    19. Herrenbrueck, Lucas, 2019. "Frictional asset markets and the liquidity channel of monetary policy," Journal of Economic Theory, Elsevier, vol. 181(C), pages 82-120.
    20. 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.

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    More about this item

    Keywords

    money; inflation; risk sharing; liquidity traps;
    All these keywords.

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General

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