IDEAS home Printed from https://ideas.repec.org/p/fip/fedlwp/2009-024.html
   My bibliography  Save this paper

When does heterogeneity matter?

Author

Listed:
  • Yi Wen

Abstract

How do movements in the distribution of income affect the macroeconomy? Krusell and Smith (1998) analyzed this question in a neoclassical growth model, and their results show that the representative-agent assumption provides a good approximation for aggregate behaviors of heterogeneous agents. This paper extends their analysis to a cash-in-advance model with heterogeneous money demand. It is shown that movements in the distribution of monetary income can have significant impact on the macroeconomy. For example, the dynamic responses of aggregate output to monetary shocks behave very differently from those of a representative agent; the welfare costs of moderate inflation are much higher than previously thought, up to 20% of consumption when the inequality of cash distribution is sufficiently large. This is in sharp contrast to the findings of Cooley and Hansen (1989) and Lucas (2000) based on representative-agent models.

Suggested Citation

  • Yi Wen, 2009. "When does heterogeneity matter?," Working Papers 2009-024, Federal Reserve Bank of St. Louis.
  • Handle: RePEc:fip:fedlwp:2009-024
    as

    Download full text from publisher

    File URL: http://research.stlouisfed.org/wp/2009/2009-024.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hodrick, Robert J & Kocherlakota, Narayana R & Lucas, Deborah, 1991. "The Variability of Velocity in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 358-384, April.
    2. Moshe Levy & Haim Levy, 2003. "Investment Talent and the Pareto Wealth Distribution: Theoretical and Experimental Analysis," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 709-725, August.
    3. Orazio P. Attanasio & Luigi Guiso & Tullio Jappelli, 2002. "The Demand for Money, Financial Innovation, and the Welfare Cost of Inflation: An Analysis with Household Data," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 317-351, April.
    4. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    5. N. Gregory Mankiw & Ricardo Reis, 2002. "Sticky Information versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1295-1328.
    6. David Romer, 1986. "A Simple General Equilibrium Version of the Baumol-Tobin Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 663-685.
    7. 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.
    8. Chiu, Jonathan, 2014. "Endogenously Segmented Asset Market In An Inventory-Theoretic Model Of Money Demand," Macroeconomic Dynamics, Cambridge University Press, vol. 18(2), pages 438-472, March.
    9. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-748, September.
    10. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    11. Carlos E. da Costa & Iván Werning, 2008. "On the Optimality of the Friedman Rule with Heterogeneous Agents and Nonlinear Income Taxation," Journal of Political Economy, University of Chicago Press, vol. 116(1), pages 82-112, February.
    12. Julia K. Thomas & Aubhik Khan, 2005. "Inflation and Interest Rates with Endogenous Market Segmentation," 2005 Meeting Papers 170, Society for Economic Dynamics.
    13. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    14. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    15. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-577, June.
    16. Ireland, Peter N, 1996. "The Role of Countercyclical Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 704-723, August.
    17. F. Clementi & M. Gallegati, 2005. "Pareto's Law of Income Distribution: Evidence for Germany, the United Kingdom, and the United States," Papers physics/0504217, arXiv.org, revised Mar 2006.
    18. Imrohoruglu, Ayse, 1989. "Cost of Business Cycles with Indivisibilities and Liquidity Constraints," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1364-1383, December.
    19. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    20. Chatterjee, Satyajit & Corbae, Dean, 1992. "Endogenous Market Participation and the General Equilibrium Value of Money," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 615-646, June.
    21. Phillip Cartwright & Charles Delorme & Norman Wood, 1985. "The by-product theory of revolution: Some empirical evidence," Public Choice, Springer, vol. 46(3), pages 265-274, January.
    22. Fernando Alvarez & Andrew Atkeson & Chris Edmond, 2003. "On the Sluggish Response of Prices to Money in an Inventory-Theoretic Model of Money Demand," NBER Working Papers 10016, National Bureau of Economic Research, Inc.
    23. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    24. Helpman, Elhanan, 1981. "An Exploration in the Theory of Exchange-Rate Regimes," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 865-890, October.
    25. Imrohoroglu, Ayse, 1992. "The welfare cost of inflation under imperfect insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 79-91, January.
    26. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 1999. "Money and interest rates with endogeneously segmented markets," Staff Report 260, Federal Reserve Bank of Minneapolis.
    27. Julia K. Thomas, 2002. "Is Lumpy Investment Relevant for the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 508-534, June.
    28. Zsolt Becsi & Ping Wang, 1997. "Financial development and growth," Economic Review, Federal Reserve Bank of Atlanta, vol. 82(Q 4), pages 46-62.
    29. Rotemberg, Julio J, 1984. "A Monetary Equilibrium Model with Transactions Costs," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 40-58, February.
    30. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
    31. Grossman, Sanford & Weiss, Laurence, 1983. "A Transactions-Based Model of the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 73(5), pages 871-880, December.
    32. Per Krusell & Anthony A. Smith, Jr., 1999. "On the Welfare Effects of Eliminating Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 245-272, January.
    33. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    34. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
    35. Svensson, Lars E O, 1985. "Money and Asset Prices in a Cash-in-Advance Economy," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 919-944, October.
    36. Makoto Nirei & Wataru Souma, 2007. "A Two Factor Model Of Income Distribution Dynamics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(3), pages 440-459, September.
    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. Chen, Huayi & Ma, Tieju, 2021. "Technology adoption and carbon emissions with dynamic trading among heterogeneous agents," Energy Economics, Elsevier, vol. 99(C).
    2. Chen, Huayi & Zhou, P., 2019. "Modeling systematic technology adoption: Can one calibrated representative agent represent heterogeneous agents?," Omega, Elsevier, vol. 89(C), pages 257-270.
    3. Yi Wen, 2009. "Saving and growth under borrowing constraints explaining the \"high saving rate\" puzzle," Working Papers 2009-045, Federal Reserve Bank of St. Louis.
    4. Salas, Sergio, 2013. "Credit frictions and unexpected credit crunches," Journal of Macroeconomics, Elsevier, vol. 37(C), pages 161-181.

    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. Wen, Yi, 2015. "Money, liquidity and welfare," European Economic Review, Elsevier, vol. 76(C), pages 1-24.
    2. Fernando Alvarez & Andrew Atkeson & Chris Edmond, 2009. "Sluggish Responses of Prices and Inflation to Monetary Shocks in an Inventory Model of Money Demand," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 911-967.
    3. Yi Wen, 2012. "Liquidity and welfare," Working Papers 2012-037, Federal Reserve Bank of St. Louis.
    4. Ragot, Xavier, 2014. "The case for a financial approach to money demand," Journal of Monetary Economics, Elsevier, vol. 62(C), pages 94-107.
    5. Bernardino Adão & André C. Silva, 2021. "Government financing, inflation, and the financial sector," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1357-1396, June.
    6. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
    7. repec:hal:spmain:info:hdl:2441/4vm8e5vhjr99cb1ekr86bivlk0 is not listed on IDEAS
    8. Hugo Rodriguez Mendizabal, 2004. "The Behavior of Money velocity in Low and High Inflation Countries," UFAE and IAE Working Papers 600.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    9. Hugo Rodríguez, 1998. "The variability of money velocity in a generalized cash-in-advance model," Economics Working Papers 320, Department of Economics and Business, Universitat Pompeu Fabra.
    10. André C. Silva, 2012. "Rebalancing Frequency and the Welfare Cost of Inflation," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 153-183, April.
    11. Fernando Alvarez & Francesco Lippi & Roberto Robatto, 2019. "Cost of Inflation in Inventory Theoretical Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 32, pages 206-226, April.
    12. Stephen D. Williamson, 2009. "Transactions, Credit, and Central Banking in a Model of Segmented Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 344-362, April.
    13. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    14. 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.
    15. Hirokazu Ishise Nao Sudo, 2013. "Inventory-Theoretic Money Demand and Relative Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(2-3), pages 299-326, March.
    16. Telyukova, Irina A. & Visschers, Ludo, 2013. "Precautionary money demand in a business-cycle model," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 900-916.
    17. Young Sik Kim & Manjong Lee, 2010. "An Analytical Approach to the Liquidity Effects of Monetary Policy," Korean Economic Review, Korean Economic Association, vol. 26, pages 453-475.
    18. 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.
    19. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2002. "Money, Interest Rates, and Exchange Rates with Endogenously Segmented Markets," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 73-112, February.
    20. Andre Silva & Bernardino Adao, 2012. "Debt Financing," 2012 Meeting Papers 577, Society for Economic Dynamics.
    21. Williamson, Stephen D., 2008. "Monetary policy and distribution," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1038-1053, September.

    More about this item

    Keywords

    Liquidity (Economics); Money theory;

    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:fip:fedlwp:2009-024. 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: Anna Oates (email available below). General contact details of provider: https://edirc.repec.org/data/frbslus.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.