IDEAS home Printed from https://ideas.repec.org/p/fip/fedcwp/1103.html
   My bibliography  Save this paper

The cost of inflation: a mechanism design approach

Author

Listed:
  • Guillaume Rocheteau

Abstract

I apply mechanism design to quantify the cost of inflation that can be attributed to monetary frictions alone. In an environment with pairwise meetings, the money demand that is consistent with a constrained-efficient allocation takes the form of a continuous correspondence that can fit the data over the period 1900-2006. For such parameterizations, the cost of moderate inflation is zero. This result is robust to different assumptions regarding the observability of money holdings, the introduction of match-specific heterogeneity, and endogeneous participation decisions.

Suggested Citation

  • Guillaume Rocheteau, 2011. "The cost of inflation: a mechanism design approach," Working Papers (Old Series) 1103, Federal Reserve Bank of Cleveland.
  • Handle: RePEc:fip:fedcwp:1103
    as

    Download full text from publisher

    File URL: https://www.clevelandfed.org/en/Newsroom%20and%20Events/Publications/Working%20Papers/~/media/E6134878427E4FEEB7F1DF6FCA25698A.ashx
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. O. Cavalcanti, Ricardo de & Erosa, Andrés, 2008. "Efficient propagation of shocks and the optimal return on money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 128-148, September.
    2. Peter N. Ireland, 2009. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," American Economic Review, American Economic Association, vol. 99(3), pages 1040-1052, June.
    3. Deviatov Alexei, 2006. "Money Creation in a Random Matching Model," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(3), pages 1-20, December.
    4. 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.
    5. 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.
    6. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
    7. Ennis, Huberto M., 2008. "Search, money, and inflation under private information," Journal of Economic Theory, Elsevier, vol. 138(1), pages 101-131, January.
    8. 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.
    9. Ariel Burstein & Christian Hellwig, 2008. "Welfare Costs of Inflation in a Menu Cost Model," American Economic Review, American Economic Association, vol. 98(2), pages 438-443, May.
    10. Ricardo de O. Cavalcanti & Neil Wallace, 1999. "Inside and outside money as alternative media of exchange," Proceedings, Federal Reserve Bank of Cleveland, pages 443-468.
    11. 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.
    12. Andolfatto, David, 2010. "Essential interest-bearing money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1495-1507, July.
    13. 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.
    14. Boel, Paola & Camera, Gabriele, 2009. "Financial sophistication and the distribution of the welfare cost of inflation," Journal of Monetary Economics, Elsevier, vol. 56(7), pages 968-978, October.
    15. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    16. Kocherlakota, Narayana & Wallace, Neil, 1998. "Incomplete Record-Keeping and Optimal Payment Arrangements," Journal of Economic Theory, Elsevier, vol. 81(2), pages 272-289, August.
    17. Fabrizio Mattesini & Cyril Monnet & Randall Wright, 2009. "Banking: a mechanism design approach," Working Papers 09-26, Federal Reserve Bank of Philadelphia.
    18. Wallace, Neil, 2010. "The Mechanism-Design Approach to Monetary Theory," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 1, pages 3-23, Elsevier.
    19. 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.
    20. Ricardo Cavalcanti & Ed Nosal, 2009. "Some benefits of cyclical monetary policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 195-216, May.
    21. Koeppl, Thorsten & Monnet, Cyril & Temzelides, Ted, 2008. "A dynamic model of settlement," Journal of Economic Theory, Elsevier, vol. 142(1), pages 233-246, September.
    22. Faig Miquel & Jerez Belén, 2006. "Inflation, Prices, and Information in Competitive Search," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-34, September.
    23. ,, 2008. "Equilibrium concepts in the large-household model," Theoretical Economics, Econometric Society, vol. 3(2), June.
    24. Ricardo Lagos & Guillaume Rocheteau, 2005. "Inflation, Output, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 495-522, May.
    25. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    26. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-869, November.
    27. 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.
    28. Altig,David E. & Nosal,Ed (ed.), 2009. "Monetary Policy in Low-Inflation Economies," Cambridge Books, Cambridge University Press, number 9780521848503.
    29. 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.
    30. Aleksander Berentsen & Guillaume Rocheteau, 2002. "Money in Bilateral Trade," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 138(IV), pages 489-506, December.
    31. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    32. Boel, Paola & Camera, Gabriele, 2011. "The Welfare Cost Of Inflation In Oecd Countries," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 217-251, September.
    33. Curtis, Elisabeth & Wright, Randall, 2004. "Price setting, price dispersion, and the value of money: or, the law of two prices," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1599-1621, November.
    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. Guillaume Rocheteau & Randall Wright, 2003. "Inflation and Welfare in Models with Trading Frictions," PIER Working Paper Archive 03-032, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    36. Andolfatto, David, 2010. "Essential interest-bearing money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1495-1507, July.
    37. Reed, Robert R. & Waller, Christopher J., 2006. "Money and Risk Sharing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(6), pages 1599-1618, 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. Hu, Tai-Wei & Rocheteau, Guillaume, 2013. "On the coexistence of money and higher-return assets and its social role," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2520-2560.
    2. Athanasios Geromichalos & Kuk Mo Jung, 2019. "Monetary policy and efficiency in over-the-counter financial trade," Canadian Journal of Economics, Canadian Economics Association, vol. 52(4), pages 1699-1754, November.
    3. Manjong Lee & Sung Guan Yun, 2014. "Composition of Portfolio and Cost of Inflation," Discussion Paper Series 1403, Institute of Economic Research, Korea University.
    4. 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.
    5. Dong, Mei & Jiang, Janet Hua, 2014. "Money and price posting under private information," Journal of Economic Theory, Elsevier, vol. 150(C), pages 740-777.
    6. Fernández-Villaverde, Jesús & Sanches, Daniel, 2019. "Can currency competition work?," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 1-15.
    7. Baughman, Garth & Rabinovich, Stanislav, 2021. "Capacity choice, monetary trade, and the cost of inflation," European Economic Review, Elsevier, vol. 134(C).
    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. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.
    10. 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.
    11. Anbarci, Nejat & Dutu, Richard & Feltovich, Nick, 2015. "Inflation tax in the lab: a theoretical and experimental study of competitive search equilibrium with inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 17-33.

    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. Hu, Tai-Wei & Rocheteau, Guillaume, 2013. "On the coexistence of money and higher-return assets and its social role," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2520-2560.
    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. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    4. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    5. 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.
    6. 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.
    7. 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.
    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. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.
    10. 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.
    11. Dong, Mei & Jiang, Janet Hua, 2014. "Money and price posting under private information," Journal of Economic Theory, Elsevier, vol. 150(C), pages 740-777.
    12. Berentsen, Aleksander & Monnet, Cyril, 2008. "Monetary policy in a channel system," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1067-1080, September.
    13. Ennis, Huberto M., 2008. "Search, money, and inflation under private information," Journal of Economic Theory, Elsevier, vol. 138(1), pages 101-131, January.
    14. Shouyong Shi, 2006. "A Microfoundation of Monetary Economics," Working Papers tecipa-211, University of Toronto, Department of Economics.
    15. Sergio Parra Cely, 2009. "Costos de inflación en un modelo de búsqueda monetaria con formación endógena de precios: el caso colombiano," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 27(59), pages 46-82, June.
    16. Berentsen, Aleksander & Camera, Gabriele & Waller, Christopher, 2007. "Money, credit and banking," Journal of Economic Theory, Elsevier, vol. 135(1), pages 171-195, July.
    17. Zachary Bethune & Tai-Wei Hu & Guillaume Rocheteau, 2018. "Optimal Credit Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 27, pages 231-245, January.
    18. Shouyong Shi, 2006. "Viewpoint: A microfoundation of monetary economics," Canadian Journal of Economics, Canadian Economics Association, vol. 39(3), pages 643-688, August.
    19. 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.
    20. Alessandro Marchesiani & Aleksander Berentsen, 2010. "Standing Facilities Versus Open Market Operations: Equivalence Results," 2010 Meeting Papers 929, Society for Economic Dynamics.

    More about this item

    Keywords

    Inflation (Finance) - Mathematical models; Demand for money; Monetary theory;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • 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:fedcwp:1103. 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: 4D Library (email available below). General contact details of provider: https://edirc.repec.org/data/frbclus.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.