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Sticky Prices and Costly Credit

Author

Listed:
  • Liang Wang

    (University of Hawaii at Manoa)

  • Randall Wright

    (University of Wisconsin - Madison, Zhejiang University, and FRB Minneapolis)

  • Lucy Qian Liu

    (International Monetary Fund)

Abstract

We develop a theory of money and credit as competing payment instruments, then put it to work in applications. Agents use cash and credit because the former (latter) is subject to the inflation tax (transaction costs). Frictions that make the choice of payment method interesting also imply equilibrium price dispersion. We derive closed- form solutions for money demand, and show how to simultaneously account for the price-change facts, cash-credit shares in micro data, and money-interest correlations in macro data. The effects of inflation on welfare, price dispersion and markups are discussed, as are nonstationary equilibria with dynamics in the price distribution.

Suggested Citation

  • Liang Wang & Randall Wright & Lucy Qian Liu, 2020. "Sticky Prices and Costly Credit," Working Papers 202001, University of Hawaii at Manoa, Department of Economics.
    • Handle: RePEc:hai:wpaper:202001
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    1. Peter J. Klenow & Oleksiy Kryvtsov, 2008. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 863-904.
    2. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    3. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    4. Claire Greene & Scott Schuh & Joanna Stavins, 2017. "The 2015 Survey of Consumer Payment Choice: summary results," Research Data Report 17-3, Federal Reserve Bank of Boston.
    5. Klee, Elizabeth, 2008. "How people pay: Evidence from grocery store data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 526-541, April.
    6. Christian Hellwig & Ariel Burstein, 2007. "Prices and Market Shares in a Menu Cost Model," 2007 Meeting Papers 327, Society for Economic Dynamics.
    7. Merton H. Miller & Daniel Orr, 1966. "A Model of the Demand for Money by Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 413-435.
    8. 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.
    9. Lotz, Sébastien & Zhang, Cathy, 2016. "Money and credit as means of payment: A new monetarist approach," Journal of Economic Theory, Elsevier, vol. 164(C), pages 68-100.
    10. Wang, Liang, 2016. "Endogenous search, price dispersion, and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 94-117.
    11. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 529-538.
    12. Johannes Stroebel & Joseph Vavra, 2019. "House Prices, Local Demand, and Retail Prices," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1391-1436.
    13. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    14. Berentsen, Aleksander & Molico, Miguel & Wright, Randall, 2002. "Indivisibilities, Lotteries, and Monetary Exchange," Journal of Economic Theory, Elsevier, vol. 107(1), pages 70-94, November.
    15. 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.
    16. Burdett, Kenneth & Trejos, Alberto & Wright, Randall, 2017. "A new suggestion for simplifying the theory of money," Journal of Economic Theory, Elsevier, vol. 172(C), pages 423-450.
    17. Andrew S. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 703-725.
    18. Kevin Foster & Claire Greene & Joanna Stavins, 2020. "2018 Survey of Consumer Payment Choice," Consumer Payments Research Data Reports 2019-2, Federal Reserve Bank of Atlanta.
    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. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
    21. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    22. Allen Head & Lucy Qian Liu & Guido Menzio & Randall Wright, 2012. "Sticky Prices: A New Monetarist Approach," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 939-973, October.
    23. Klenow, Peter J. & Malin, Benjamin A., 2010. "Microeconomic Evidence on Price-Setting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 6, pages 231-284, Elsevier.
    24. 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.
    25. repec:mcb:jmoncb:v:45:y:2013:i::p:701-730 is not listed on IDEAS
    26. Greg Kaplan & Guido Menzio, 2016. "Shopping Externalities and Self-Fulfilling Unemployment Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 124(3), pages 771-825.
    27. Carlos Arango & Angelika Welte, 2012. "The Bank of Canada’s 2009 Methods-of-Payment Survey: Methodology and Key Results," Discussion Papers 12-6, Bank of Canada.
    28. Emi Nakamura, 2008. "Pass-Through in Retail and Wholesale," American Economic Review, American Economic Association, vol. 98(2), pages 430-437, May.
    29. 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.
    30. Parsley, David C, 1996. "Inflation and Relative Price Variability in the Short and Long Run: New Evidence from the United States," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(3), pages 323-341, August.
    31. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    32. 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.
    33. 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.
    34. Gomis-Porqueras, Pedro & Peralta-Alva, Adrian & Waller, Christopher, 2014. "The shadow economy as an equilibrium outcome," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 1-19.
    35. Benjamin Eden, 1994. "Time Rigidities In The Adjustment Of Prices To Monetary Shocks: An Analysis Of Micro Data," Bank of Israel Working Papers 1994.16, Bank of Israel.
    36. Eden, Benjamin, 1994. "The Adjustment of Prices to Monetary Shocks When Trade Is Uncertain and Sequential," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 493-509, June.
    37. Lacker, Jeffrey M. & Schreft, Stacey L., 1996. "Money and credit as means of payment," Journal of Monetary Economics, Elsevier, vol. 38(1), pages 3-23, August.
    38. Allen Head & Alok Kumar, 2005. "Price Dispersion, Inflation, 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 533-572, May.
    39. Janet Hua Jiang & Enchuan Shao, 2020. "The Cash Paradox," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 177-197, April.
    40. Joseph Vavra, 2014. "Inflation Dynamics and Time-Varying Volatility: New Evidence and an Ss Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(1), pages 215-258.
    41. Cecchetti, Stephen G., 1986. "The frequency of price adjustment : A study of the newsstand prices of magazines," Journal of Econometrics, Elsevier, vol. 31(3), pages 255-274, April.
    42. Benabou, Roland, 1992. "Inflation and markups : Theories and evidence from the retail trade sector," European Economic Review, Elsevier, vol. 36(2-3), pages 566-574, April.
    43. Edward L. Whalen, 1966. "A Rationalization of the Precautionary Demand for Cash," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(2), pages 314-324.
    44. Alvarez, Fernando & Lippi, Francesco, 2017. "Cash burns: An inventory model with a cash-credit choice," Journal of Monetary Economics, Elsevier, vol. 90(C), pages 99-112.
    45. Ping He & Lixin Huang & Randall Wright, 2005. "Money And Banking In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 637-670, May.
    46. Reinsdorf, Marshall, 1994. "New Evidence on the Relation between Inflation and Price Dispersion," American Economic Review, American Economic Association, vol. 84(3), pages 720-731, June.
    47. Jeffrey R. Campbell & Benjamin Eden, 2014. "Rigid Prices: Evidence From U.S. Scanner Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 423-442, May.
    48. Kevin Foster & Scott Schuh & Hanbing Zhang, 2013. "The 2010 Survey of Consumer Payment Choice," Research Data Report 13-2, Federal Reserve Bank of Boston.
    49. Rocheteau, Guillaume, 2011. "Payments and liquidity under adverse selection," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 191-205.
    50. Nosal, Ed & Rocheteau, Guillaume, 2011. "Money, Payments, and Liquidity," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262016281, April.
    51. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
    52. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    53. Ricardo Lagos & Guillaume Rocheteau & Randall Wright, 2017. "Liquidity: A New Monetarist Perspective," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 371-440, June.
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    Cited by:

    1. Han, Han & Julien, Benoît & Petursdottir, Asgerdur & Wang, Liang, 2019. "Asset liquidity and indivisibility," European Economic Review, Elsevier, vol. 119(C), pages 236-250.
    2. Alvarez, Fernando & Argente, David & Jimenez, Rafael & Lippi, Francesco, 2022. "Cash: A Blessing or a curse?," Journal of Monetary Economics, Elsevier, vol. 125(C), pages 85-128.
    3. Wang, Liang, 2016. "Endogenous search, price dispersion, and welfare," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 94-117.
    4. Lotz, Sébastien & Zhang, Cathy, 2016. "Money and credit as means of payment: A new monetarist approach," Journal of Economic Theory, Elsevier, vol. 164(C), pages 68-100.
    5. Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2014. "Monetary Equilibria with Indivisible Goods," Working Papers 201428, University of Hawaii at Manoa, Department of Economics.
    6. van Buggenum, Hugo & Rabinovich, Stanislav, 2023. "Co-essentiality of money and credit: A mechanism-design view," Journal of Economic Theory, Elsevier, vol. 213(C).

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    More about this item

    Keywords

    Money; Credit; Inflation; Price Dispersion; Sticky Prices;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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