IDEAS home Printed from https://ideas.repec.org/p/fip/fedrwp/17-06.html
   My bibliography  Save this paper

A Tractable Model of Monetary Exchange with Ex-Post Heterogeneity

Author

Listed:
  • Rocheteau, Guillaume

    (University of California, Irvine)

  • Weill, Pierre-Olivier

    (University of California, Los Angeles)

  • Wong, Russell

    (Federal Reserve Bank of Richmond)

Abstract

We construct a continuous-time, New-Monetarist economy with general preferences that displays an endogenous, non-degenerate distribution of money holdings. Properties of equilibria are obtained analytically and equilibria are solved in closed form in a variety of cases. We study policy as incentive-compatible transfers financed with money creation. Lump-sum transfers are welfare-enhancing when labor productivity is low, but regressive transfers achieve higher welfare when labor productivity is high. We introduce illiquid government bonds and draw implications for the existence of liquidity-trap equilibria and policy mix in terms of "helicopter drops" and open-market operations.

Suggested Citation

  • Rocheteau, Guillaume & Weill, Pierre-Olivier & Wong, Russell, 2017. "A Tractable Model of Monetary Exchange with Ex-Post Heterogeneity," Working Paper 17-6, Federal Reserve Bank of Richmond.
  • Handle: RePEc:fip:fedrwp:17-06
    as

    Download full text from publisher

    File URL: https://www.richmondfed.org/-/media/richmondfedorg/publications/research/working_papers/2017/pdf/wp17-06.pdf
    File Function: Full text
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Diamond, Peter & Yellin, Joel, 1985. "The Distribution of Inventory Holdings in a Pure Exchange Barter Search Economy," Econometrica, Econometric Society, vol. 53(2), pages 409-432, March.
    2. Edward J. Green & Ruilin Zhou, 2005. "Money As A Mechanism In A Bewley Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 351-371, May.
    3. 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.
    4. Scott J. Dressler, 2011. "Money Holdings, Inflation, And Welfare In A Competitive Market," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(2), pages 407-423, May.
    5. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    6. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    7. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    8. 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.
    9. Athanasios Geromichalos & Lucas Herrenbrueck, 2016. "Monetary Policy, Asset Prices, and Liquidity in Over‐the‐Counter Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(1), pages 35-79, February.
    10. 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.
    11. Andolfatto, David, 2010. "Essential interest-bearing money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1495-1507, July.
    12. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    13. Liu, Lucy Qian & Wang, Liang & Wright, Randall, 2011. "On The “Hot Potato” Effect Of Inflation: Intensive Versus Extensive Margins," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 191-216, September.
    14. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
    15. Alvarez, Fernando & Lippi, Francesco, 2013. "The demand of liquid assets with uncertain lumpy expenditures," Journal of Monetary Economics, Elsevier, vol. 60(7), pages 753-770.
    16. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, January.
    17. Diamond, Peter & Yellin, Joel, 1990. "Inventories and Money Holdings in a Search Economy," Econometrica, Econometric Society, vol. 58(4), pages 929-950, July.
    18. Francesco Lippi & Stefania Ragni & Nicholas Trachter, 2013. "State Dependent Monetary Policy," EIEF Working Papers Series 1324, Einaudi Institute for Economics and Finance (EIEF), revised Sep 2013.
    19. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
    20. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    21. Menzio, Guido & Shi, Shouyong & Sun, Hongfei, 2013. "A monetary theory with non-degenerate distributions," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2266-2312.
    22. Rocheteau, Guillaume & Rodriguez-Lopez, Antonio, 2014. "Liquidity provision, interest rates, and unemployment," Journal of Monetary Economics, Elsevier, vol. 65(C), pages 80-101.
    23. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    24. Li, Ying-Syuan & Li, Yiting, 2013. "Liquidity and asset prices: A new monetarist approach," Journal of Monetary Economics, Elsevier, vol. 60(4), pages 426-438.
    25. Herrenbrueck, Lucas, 2014. "Quantitative Easing and the Liquidity Channel of Monetary Policy," MPRA Paper 70686, University Library of Munich, Germany, revised 10 Apr 2016.
    26. Zhu, Tao, 2005. "Existence of a monetary steady state in a matching model: divisible money," Journal of Economic Theory, Elsevier, vol. 123(2), pages 135-160, August.
    27. Matthias Doepke & Martin Schneider, 2006. "Inflation and the Redistribution of Nominal Wealth," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1069-1097, December.
    28. Hongfei Sun, 2011. "Monetary and Fiscal Policies in a Heterogeneous-Agent Economy," Working Papers 1262, Queen's University, Department of Economics.
    29. Yiting Li & Guillaume Rocheteau & Pierre-Olivier Weill, 2012. "Liquidity and the Threat of Fraudulent Assets," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 000.
    30. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    31. Tai-Wei Hu, 2013. "Imperfect recognizability and coexistence of money and higher-return assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 111-138, May.
    32. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-1038, November.
    33. Tsz-Nga Wong, 2016. "A Tractable Monetary Model under General Preferences," Review of Economic Studies, Oxford University Press, vol. 83(1), pages 402-420.
    34. Berentsen, Aleksander, 2000. "Money Inventories in Search Equilibrium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(2), pages 168-178, May.
    35. 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.
    36. Ricardo Lagos & Shengxing Zhang, 2015. "Monetary Exchange in Over-the-Counter Markets: A Theory of Speculative Bubbles, the Fed Model, and Self-fulfilling Liquidity Crises," NBER Working Papers 21528, National Bureau of Economic Research, Inc.
    37. Neil Wallace, 2014. "Optimal money creation in "pure currency" economies: a conjecture," The Quarterly Journal of Economics, Oxford University Press, vol. 129(1), pages 259-274.
    38. 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.
    39. Shouyong Shi, 2006. "Viewpoint: A microfoundation of monetary economics," Canadian Journal of Economics, Canadian Economics Association, vol. 39(3), pages 643-688, August.
    40. Timothy J. Kehoe & David K. Levine & Michael Woodford, 1990. "The optimum quantity of money revisited," Working Papers 404, Federal Reserve Bank of Minneapolis.
    41. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    42. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    43. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    44. Olivier Coibion & Yuriy Gorodnichenko & Lorenz Kueng & John Silvia, 2012. "Innocent Bystanders? Monetary Policy and Inequality in the U.S," NBER Working Papers 18170, National Bureau of Economic Research, Inc.
    45. Zhu, Tao & Wallace, Neil, 2007. "Pairwise trade and coexistence of money and higher-return assets," Journal of Economic Theory, Elsevier, vol. 133(1), pages 524-535, March.
    46. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
    47. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2012. "Information, Liquidity, Asset Prices, and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 79(3), pages 1209-1238.
    48. repec:dau:papers:123456789/4077 is not listed on IDEAS
    49. 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.
    50. 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.
    51. Michael G. Palumbo, 1999. "Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle," Review of Economic Studies, Oxford University Press, vol. 66(2), pages 395-421.
    52. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    53. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
    54. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-141, February.
    55. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
    56. Bajaj, Ayushi & Hu, Tai-Wei & Rocheteau, Guillaume & Silva, Mario Rafael, 2017. "Decentralizing constrained-efficient allocations in the Lagos–Wright pure currency economy," Journal of Economic Theory, Elsevier, vol. 167(C), pages 1-13.
    57. Nosal, Ed & Rocheteau, Guillaume, 2011. "Money, Payments, and Liquidity," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262016281, January.
    58. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    59. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    60. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
    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. Samuel Huber & Jaehong Kim, 2017. "An overlapping generations model for monetary policy analysis," ECON - Working Papers 272, Department of Economics - University of Zurich.
    2. Jung, Kuk Mo, 2016. "Uncertainty-Induced Dynamic Inefficiency and the Optimal Inflation Rate," MPRA Paper 69715, University Library of Munich, Germany.
    3. 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.
    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. Russell Wong & Cathy Zhang & Guillaume Rocheteau, 2017. "Lending Relationships, Banking Crises and Optimal Monetary Policies," 2017 Meeting Papers 152, Society for Economic Dynamics.
    6. repec:red:issued:15-330 is not listed on IDEAS
    7. Galo Nuño & Benjamin Moll, 2015. "Controlling a distribution of heterogeneous agents," Working Papers 1533, Banco de España;Working Papers Homepage.
    8. Wong, Tsz-Nga, 2016. "Monetary exchange and the irreducible cost of inflation," Journal of Economic Theory, Elsevier, vol. 164(C), pages 218-229.
    9. 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.

    More about this item

    Keywords

    money; inflation; risk sharing; liquidity traps;

    JEL classification:

    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • 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:fip:fedrwp:17-06. 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: (Christian Pascasio). General contact details of provider: http://edirc.repec.org/data/frbrius.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.