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A Tractable Monetary Model Under General Preferences

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  • Tsz-Nga Wong

Abstract

Consider 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.

Suggested Citation

  • Tsz-Nga Wong, 2013. "A Tractable Monetary Model Under General Preferences," Staff Working Papers 13-7, Bank of Canada.
    • Handle: RePEc:bca:bocawp:13-7
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    References listed on IDEAS

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    1. Tai-wei Hu & John Kennan & Neil Wallace, 2009. "Coalition-Proof Trade and the Friedman Rule in the Lagos-Wright Model," Journal of Political Economy, University of Chicago Press, vol. 117(1), pages 116-137, February.
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    Cited by:

    1. Martin, Fernando M., 2015. "Debt, inflation and central bank independence," European Economic Review, Elsevier, vol. 79(C), pages 129-150.
    2. Kiyotaki, Nobuhiro & Lagos, Ricardo & Wright, Randall, 2016. "Introduction to the symposium issue on money and liquidity," Journal of Economic Theory, Elsevier, vol. 164(C), pages 1-9.
    3. Lukas Altermatt & Kohei Iwasaki & Randall Wright, 2023. "General Equilibrium with Multiple Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 267-291, December.
    4. Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2018. "A tractable model of monetary exchange with ex-post heterogeneity," Theoretical Economics, Econometric Society, vol. 13(3), September.
    5. 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.
    6. Wright, Randall & Xiao, Sylvia Xiaolin & Zhu, Yu, 2018. "Frictional capital reallocation I: Ex ante heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 100-116.
    7. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    8. Laura Bakkensen & Toan Phan & Russell Wong, 2023. "Leveraging the Disagreement on Climate Change: Theory and Evidence," Working Paper 23-01, Federal Reserve Bank of Richmond.
    9. Wei Cui & Randall Wright & Yu Zhu, 2022. "Endogenous Liquidity and Capital Reallocation," Staff Working Papers 22-27, Bank of Canada.
    10. Benjamin Lester & Guillaume Rocheteau & Pierre‐Olivier Weill, 2015. "Competing for Order Flow in OTC Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(S2), pages 77-126, June.
    11. Pedro Gomis‐Porqueras & Christopher Waller, 2022. "Optimal Taxes under Private Information: The Role of Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 54(7), pages 1941-1969, October.
    12. Chiu, Jonathan & Wong, Tsz-Nga, 2022. "Payments on digital platforms: Resiliency, interoperability and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    13. Kitaura, Koji & Miyazawa, Kazutoshi, 2021. "Inequality and conditionality in cash transfers: Demographic transition and economic development," Economic Modelling, Elsevier, vol. 94(C), pages 276-287.
    14. Herrenbrueck, Lucas, 2019. "Frictional asset markets and the liquidity channel of monetary policy," Journal of Economic Theory, Elsevier, vol. 181(C), pages 82-120.
    15. Wong, Tsz-Nga, 2016. "Monetary exchange and the irreducible cost of inflation," Journal of Economic Theory, Elsevier, vol. 164(C), pages 218-229.
    16. Altermatt, Lukas & Iwasaki, Kohei & Wright, Randall, 2021. "Asset pricing in monetary economies," Journal of International Money and Finance, Elsevier, vol. 115(C).
    17. 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.

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    More about this item

    Keywords

    Economic models;

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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