IDEAS home Printed from https://ideas.repec.org/p/bca/bocawp/13-7.html
   My bibliography  Save this paper

A Tractable Monetary Model Under General Preferences

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.bankofcanada.ca/wp-content/uploads/2013/03/wp2013-07.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. Chao Gu & Guido Menzio & Randall Wright & Yu Zhu, 2024. "Market Freezes," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(6), pages 1291-1320, September.
    4. Martin, Fernando M., 2015. "Debt, inflation and central bank independence," European Economic Review, Elsevier, vol. 79(C), pages 129-150.
    5. Wong, Tsz-Nga, 2016. "Monetary exchange and the irreducible cost of inflation," Journal of Economic Theory, Elsevier, vol. 164(C), pages 218-229.
    6. Altermatt, Lukas & Iwasaki, Kohei & Wright, Randall, 2021. "Asset pricing in monetary economies," Journal of International Money and Finance, Elsevier, vol. 115(C).
    7. 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.
    8. 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.
    9. 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.
    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. 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.
    12. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    13. 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.
    14. Wei Cui & Randall Wright & Yu Zhu, 2022. "Endogenous Liquidity and Capital Reallocation," Staff Working Papers 22-27, Bank of Canada.
    15. Chiu, Jonathan & Wong, Tsz-Nga, 2022. "Payments on digital platforms: Resiliency, interoperability and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 142(C).
    16. 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.
    17. Herrenbrueck, Lucas, 2019. "Frictional asset markets and the liquidity channel of monetary policy," Journal of Economic Theory, Elsevier, vol. 181(C), pages 82-120.
    18. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dutta, Rohan & Levine, David Knudsen & Modica, Salvatore, 2018. "Collusion constrained equilibrium," Theoretical Economics, Econometric Society, vol. 13(1), January.
    2. Berentsen, Aleksander & McBride, Michael & Rocheteau, Guillaume, 2017. "Limelight on dark markets: Theory and experimental evidence on liquidity and information," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 70-90.
    3. Gomis-Porqueras Pedro & Sun Ching-Jen, 2020. "Fiat Money as a Public Signal, Medium of Exchange, and Punishment," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(2), pages 1-11, June.
    4. Araujo, Luis & Hu, Tai-Wei, 2018. "Optimal monetary interventions in credit markets," Journal of Economic Theory, Elsevier, vol. 178(C), pages 455-487.
    5. Venky Venkateswaran & Randall Wright, 2014. "Pledgability and Liquidity: A New Monetarist Model of Financial and Macroeconomic Activity," NBER Macroeconomics Annual, University of Chicago Press, vol. 28(1), pages 227-270.
    6. Nosal, Ed & Rocheteau, Guillaume, 2013. "Pairwise trade, asset prices, and monetary policy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 1-17.
    7. Hu, Tai-Wei, 2021. "Optimal monetary policy with interest on reserves and capital over-accumulation," Journal of Economic Theory, Elsevier, vol. 196(C).
    8. Silva, Mario, 2017. "New monetarism with endogenous product variety and monopolistic competition," Journal of Economic Dynamics and Control, Elsevier, vol. 75(C), pages 158-181.
    9. Krishna, R. Vijay & Leukhina, Oksana, 2019. "On the benefits of currency reform," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 81-95.
    10. Zhang, Cathy, 2014. "An information-based theory of international currency," Journal of International Economics, Elsevier, vol. 93(2), pages 286-301.
    11. Jonathan Chiu & Mei Dong & Enchuan Shao, 2018. "On The Welfare Effects Of Credit Arrangements," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1621-1651, August.
    12. Seon Tae Kim & Alessandro Marchesiani, 2020. "Market Intelligence Gathering and Money Demand," Working Papers 202004, University of Liverpool, Department of Economics.
    13. 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.
    14. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.
    15. Régis Breton & Mariana Rojas Breu & Vincent Bignon, 2013. "Monetary Union, Banks and Financial Integration," Post-Print hal-01685888, HAL.
    16. Bignon, V. & Breton, R. & Rojas Breu, M., 2013. "Currency Union with and without Banking Union," Working papers 450, Banque de France.
    17. Andolfatto, David, 2013. "Incentive-feasible deflation," Journal of Monetary Economics, Elsevier, vol. 60(4), pages 383-390.
    18. Kircher, Philipp & Wright, Randall & Julien, Benoit & Guerrieri, Veronica, 2017. "Directed Search: A Guided Tour," CEPR Discussion Papers 12315, C.E.P.R. Discussion Papers.
    19. Tai‐Wei Hu & Guillaume Rocheteau, 2015. "Monetary Policy and Asset Prices: A Mechanism Design Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(S2), pages 39-76, June.
    20. Gomis-Porqueras, Pedro & Peralta-Alva, Adrian, 2010. "Optimal monetary and fiscal policies in a search theoretic model of monetary exchange," European Economic Review, Elsevier, vol. 54(3), pages 331-344, April.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bca:bocawp:13-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bocgvca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.