IDEAS home Printed from https://ideas.repec.org/a/cup/macdyn/v15y2011is2p293-312_00.html
   My bibliography  Save this article

Random Matching And Money In The Neoclassical Growth Model: Some Analytical Results

Author

Listed:
  • Waller, Christopher J.

Abstract

I use the monetary version of the neoclassical growth model developed by Aruoba, Waller, and Wright [Journal of Monetary Economics (2011)] to study the properties of the model when there is exogenous growth. I first consider the planner's problem, and then the equilibrium outcome in a monetary economy. I do so by first using proportional bargaining to determine the terms of trade and then considering competitive price taking. I obtain closed-form solutions for all variables along the balanced growth path in all cases. I then derive closed-form solutions for the transition paths under the assumption of full depreciation and, in the monetary economy, a particular nonstationary interest rate policy. The key result is that inflation is damaging to per capita income levels along the balanced growth path and to short-run growth of the economy.

Suggested Citation

  • Waller, Christopher J., 2011. "Random Matching And Money In The Neoclassical Growth Model: Some Analytical Results," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 293-312, September.
    • Handle: RePEc:cup:macdyn:v:15:y:2011:i:s2:p:293-312_00
    as

    Download full text from publisher

    File URL: https://www.cambridge.org/core/product/identifier/S1365100510000726/type/journal_article
    File Function: link to article abstract page
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Shouyong Shi & Mariana Rojas Breu & Aleksander Berentsen, 2009. "Liquidity and Growth," 2009 Meeting Papers 590, Society for Economic Dynamics.
    2. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    3. Shi, Shouyong, 1999. "Search, inflation and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 81-103, August.
    4. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
    5. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
    6. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    7. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75, pages 796-796.
    8. Boragan Aruoba, S. & Rocheteau, Guillaume & Waller, Christopher, 2007. "Bargaining and the value of money," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2636-2655, November.
    9. Menner Martin, 2006. "A Search-Theoretic Monetary Business Cycle Model with Capital Formation," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-36, November.
    10. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March.
    11. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    12. Gomme, Paul, 1993. "Money and growth revisited : Measuring the costs of inflation in an endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 51-77, August.
    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. Berentsen, Aleksander & Rojas Breu, Mariana & Shi, Shouyong, 2012. "Liquidity, innovation and growth," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 721-737.
    2. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    3. Chu, Angus C. & Kan, Kamhon & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "Money, random matching and endogenous growth: A quantitative analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 173-187.
    4. Jonathan Chiu & Cesaire Meh & Randall Wright, 2017. "Innovation And Growth With Financial, And Other, Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(1), pages 95-125, February.
    5. Chu, Angus C. & Liao, Chih-Hsing & Liu, Xiangbo & Zhang, Mengbo, 2021. "Indeterminacy in a matching model of money with productive government expenditure," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 497-516.
    6. S. Boragan Aruoba & Frank Schorfheide, 2011. "Sticky Prices versus Monetary Frictions: An Estimation of Policy Trade-Offs," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 60-90, January.
    7. Pere Gomis‐Porqueras & Timothy Kam & Junsang Lee, 2013. "Money, Capital, And Exchange Rate Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 329-353, February.
    8. Andolfatto, David & Berentsen, Aleksander & Waller, Christopher, 2016. "Monetary policy with asset-backed money," Journal of Economic Theory, Elsevier, vol. 164(C), pages 166-186.
    9. Jonathan Chiu & Cesaire Meh & Randall Wright, 2017. "Innovation And Growth With Financial, And Other, Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58, pages 95-125, February.
    10. repec:ath:journl:tome:30:v:2:y:2013:i:30:p:320-332 is not listed on IDEAS
    11. Pedro Gomis-Porqueras & Adrian Peralta-Alva & Christopher J. Waller, 2011. "Quantifying the shadow economy: measurement with theory," Working Papers 2011-015, Federal Reserve Bank of St. Louis.

    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. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    2. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2009. "Money and capital: a quantitative analysis," Working Papers 2009-031, Federal Reserve Bank of St. Louis.
    3. Piotr Ciżkowicz & Marcin Hołda & Andrzej Rzońca, 2009. "Inflation and investment in monetary growth models," Bank i Kredyt, Narodowy Bank Polski, vol. 40(6), pages 9-40.
    4. Lagos, Ricardo & Rocheteau, Guillaume, 2008. "Money and capital as competing media of exchange," Journal of Economic Theory, Elsevier, vol. 142(1), pages 247-258, September.
    5. 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.
    6. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    7. Cordelius Ilgmann & Martin Menner, 2011. "Negative nominal interest rates: history and current proposals," International Economics and Economic Policy, Springer, vol. 8(4), pages 383-405, December.
    8. He, Qichun, 2013. "Creative Destruction with Credit Inflation," MPRA Paper 48766, University Library of Munich, Germany.
    9. Aruoba, S. Boragan & Chugh, Sanjay K., 2010. "Optimal fiscal and monetary policy when money is essential," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1618-1647, September.
    10. Aleksander Berentsen & Guido Menzio & Randall Wright, 2011. "Inflation and Unemployment in the Long Run," American Economic Review, American Economic Association, vol. 101(1), pages 371-398, February.
    11. Ben Craig & Guillaume Rocheteau, 2008. "Inflation and Welfare: A Search Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(1), pages 89-119, February.
    12. Chu, Angus C. & Liao, Chih-Hsing & Liu, Xiangbo & Zhang, Mengbo, 2021. "Indeterminacy in a matching model of money with productive government expenditure," International Review of Economics & Finance, Elsevier, vol. 71(C), pages 497-516.
    13. Chu, Angus C. & Kan, Kamhon & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "Money, random matching and endogenous growth: A quantitative analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 173-187.
    14. Gomis-Porqueras, Pedro & Huangfu, Stella & Sun, Hongfei, 2020. "The role of search frictions in the long-run relationships between inflation, unemployment and capital," European Economic Review, Elsevier, vol. 123(C).
    15. Moosavi Mohseni, Reza & Cao, Jiling, 2020. "Monetary policy and financial economic growth," The Journal of Economic Asymmetries, Elsevier, vol. 22(C).
    16. Berentsen, Aleksander & Madison, Florian, 2018. "Comments on “Frictional capital reallocation I: Ex ante heterogeneity” by R. Wright, S.X. Xiao, and Y. Zhu," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 117-119.
    17. 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.
    18. Kannan, Prakash, 2009. "On the welfare benefits of an international currency," European Economic Review, Elsevier, vol. 53(5), pages 588-606, July.
    19. 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.
    20. Shouyong Shi, 2006. "A Microfoundation of Monetary Economics," Working Papers tecipa-211, University of Toronto, Department of Economics.

    More about this item

    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:cup:macdyn:v:15:y:2011:i:s2:p:293-312_00. 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: Kirk Stebbing (email available below). General contact details of provider: https://www.cambridge.org/mdy .

    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.