IDEAS home Printed from https://ideas.repec.org/p/zur/econwp/272.html
   My bibliography  Save this paper

An overlapping generations model for monetary policy analysis

Author

Listed:
  • Samuel Huber
  • Jaehong Kim

Abstract

We integrate an overlapping generations model into a new monetarist framework and show that the Friedman rule is not optimal. This is because inflation makes saving for retirement less attractive, such that young agents optimally choose to increase their consumption at the expense of lower savings. On the other hand, old agents consume less due to the inflation tax. We show that for low inflation rates, the former effect dominates the latter, such that the Friedman rule is not optimal. However, this effect disappears for higher inflation rates such that the optimal rate is at an intermediate level.

Suggested Citation

  • Samuel Huber & Jaehong Kim, 2017. "An overlapping generations model for monetary policy analysis," ECON - Working Papers 272, Department of Economics - University of Zurich.
  • Handle: RePEc:zur:econwp:272
    as

    Download full text from publisher

    File URL: http://www.econ.uzh.ch/static/wp/econwp272.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Aleksander Berentsen & Gabriele Camera & C hristopher W aller, 2005. "The Distribution Of Money Balances And The Nonneutrality Of Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 465-487, May.
    2. Stephen D. Williamson, 2006. "Search, Limited Participation, And Monetary Policy ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 107-128, February.
    3. Levine, David K., 1991. "Asset trading mechanisms and expansionary policy," Journal of Economic Theory, Elsevier, vol. 54(1), pages 148-164, June.
    4. 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.
    5. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    6. Cooley, Thomas F. & Quadrini, Vincenzo, 2004. "Optimal monetary policy in a Phillips-curve world," Journal of Economic Theory, Elsevier, vol. 118(2), pages 174-208, October.
    7. Atish Ghosh & Steven Phillips, 1998. "Warning: Inflation May Be Harmful to Your Growth," IMF Staff Papers, Palgrave Macmillan, vol. 45(4), pages 672-710, December.
    8. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "Heterogeneity, Redistribution, And The Friedman Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 437-454, May.
    9. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, August.
    10. 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.
    11. Robert Pollin & Andong Zhu, 2006. "Inflation and economic growth: a cross-country nonlinear analysis," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 28(4), pages 593-614.
    12. Burdekin, Richard C.K. & Denzau, Arthur T. & Keil, Manfred W. & Sitthiyot, Thitithep & Willett, Thomas D., 2004. "When does inflation hurt economic growth? Different nonlinearities for different economies," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 519-532, September.
    13. 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.
    14. Aleksander Berentsen & Guillaume Rocheteau & Shouyong Shi, 2007. "Friedman Meets Hosios: Efficiency in Search Models of Money," Economic Journal, Royal Economic Society, vol. 117(516), pages 174-195, January.
    15. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    16. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    17. Fischer, Stanley, 1993. "The role of macroeconomic factors in growth," Journal of Monetary Economics, Elsevier, vol. 32(3), pages 485-512, December.
    18. Bhattacharya, Joydeep & Haslag, Joseph H. & Martin, Antoine, 2009. "Why does overnight liquidity cost more than intraday liquidity?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1236-1246, June.
    19. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    20. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
    21. Bick, Alexander, 2010. "Threshold effects of inflation on economic growth in developing countries," Economics Letters, Elsevier, vol. 108(2), pages 126-129, August.
    22. Schreft, Stacey L & Smith, Bruce D, 2002. "The Conduct of Monetary Policy with a Shrinking Stock of Government Debt," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(3), pages 848-882, August.
    23. Stephanie Kremer & Alexander Bick & Dieter Nautz, 2013. "Inflation and growth: new evidence from a dynamic panel threshold analysis," Empirical Economics, Springer, vol. 44(2), pages 861-878, April.
    24. By Mohsin S. Khan & Abdelhak S. Senhadji, 2001. "Threshold Effects in the Relationship Between Inflation and Growth," IMF Staff Papers, Palgrave Macmillan, vol. 48(1), pages 1-1.
    25. Timothy J. Kehoe & David K. Levine & Michael Woodford, 1990. "The optimum quantity of money revisited," Working Papers 404, Federal Reserve Bank of Minneapolis.
    26. Pedro Gomis-Porqueras & Daniel Sanches, 2013. "Optimal Monetary Policy in a Model of Money and Credit," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(4), pages 701-730, June.
    27. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    28. Huber, Samuel & Kim, Jaehong, 2019. "The role of trading frictions in financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 99(C), pages 1-18.
    29. Chiu, Jonathan & Molico, Miguel, 2010. "Liquidity, redistribution, and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 428-438, May.
    30. Zhu, Tao, 2008. "An overlapping-generations model with search," Journal of Economic Theory, Elsevier, vol. 142(1), pages 318-331, September.
    31. Deviatov Alexei & Wallace Neil, 2001. "Another Example in which Lump-sum Money Creation is Beneficial," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-22, February.
    32. repec:mcb:jmoncb:v:45:y:2013:i::p:701-730 is not listed on IDEAS
    33. Schreft, Stacey L. & Smith, Bruce D., 1997. "Money, Banking, and Capital Formation," Journal of Economic Theory, Elsevier, vol. 73(1), pages 157-182, March.
    34. Michael Sarel, 1996. "Nonlinear Effects of Inflation on Economic Growth," IMF Staff Papers, Palgrave Macmillan, vol. 43(1), pages 199-215, March.
    35. Pedro Gomis-Porqueras & Christopher J. Waller, 2017. "Optimal Taxes Under Private Information: The Role of the Inflation," Working Papers 2017-014, Federal Reserve Bank of St. Louis, revised 20 Aug 2020.
    36. López-Villavicencio, Antonia & Mignon, Valérie, 2011. "On the impact of inflation on output growth: Does the level of inflation matter?," Journal of Macroeconomics, Elsevier, vol. 33(3), pages 455-464, September.
    37. Bruce D. Smith, 2002. "Monetary Policy, Banking Crises, and the Friedman Rule," American Economic Review, American Economic Association, vol. 92(2), pages 128-134, May.
    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. Lukas Altermatt & Christian Wipf, 2020. "Liquidity, the Mundell-Tobin Effect, and the Friedman Rule," Diskussionsschriften dp2013, Universitaet Bern, Departement Volkswirtschaft.
    2. Samuel Huber & Jaehong Kim & Alessandro Marchesiani, 2019. "Unemployment and the demand for money," ECON - Working Papers 324, Department of Economics - University of Zurich.

    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. 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.
    2. 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.
    3. Mavikela Nomahlubi & Mhaka Simba & Phiri Andrew, 2019. "The Inflation-Growth Relationship in SSA Inflation-Targeting Countries," Studia Universitatis Babeș-Bolyai Oeconomica, Sciendo, vol. 64(2), pages 84-102, August.
    4. 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.
    5. 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.
    6. 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.
    7. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
    8. Miguel Molico & Yahong Zhang, 2006. "Monetary Policy and the Distribution of Money and Capital," Computing in Economics and Finance 2006 136, Society for Computational Economics.
    9. Francesco Lippi & Stefania Ragni & Nicholas Trachter, 2013. "State dependent monetary policy," Working Paper 13-17, Federal Reserve Bank of Richmond.
    10. 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.
    11. 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.
    12. Jesús Crespo Cuaresma & Maria Silgoner, 2014. "Economic Growth and Inflation in Europe: A Tale of Two Thresholds," Journal of Common Market Studies, Wiley Blackwell, vol. 52(4), pages 843-860, July.
    13. Baharumshah, Ahmad Zubaidi & Slesman, Ly & Wohar, Mark E., 2016. "Inflation, inflation uncertainty, and economic growth in emerging and developing countries: Panel data evidence," Economic Systems, Elsevier, vol. 40(4), pages 638-657.
    14. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "Heterogeneity, Redistribution, And The Friedman Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 437-454, May.
    15. Ortiz, Isabel, & Cummins, Matthew. & Karunanethy, Kalaivani., 2015. "Fiscal space for social protection and the SDGs options to expand social investments in 187 countries," ILO Working Papers 994877663402676, International Labour Organization.
    16. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    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. 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.
    19. David Andolfatto, 2007. "Incentives and the Limits to Deflationary Policy," Discussion Papers dp07-14, Department of Economics, Simon Fraser University.
    20. Chiu, Jonathan & Molico, Miguel, 2010. "Liquidity, redistribution, and the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 57(4), pages 428-438, May.

    More about this item

    Keywords

    Overlapping generations; monetary theory; Friedman rule;
    All these keywords.

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General

    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:zur:econwp:272. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marita Kieser). General contact details of provider: https://edirc.repec.org/data/seizhch.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.