IDEAS home Printed from https://ideas.repec.org/p/eie/wpaper/1302.html
   My bibliography  Save this paper

Price setting with menu cost for multi-product firms

Author

Listed:
  • Fernando Alvarez

    (University of Chicago)

  • Francesco Lippi

    (University of Sassari and EIEF)

Abstract

We model the decisions of a multi-product firm that faces a fixed “menu” cost; once it is paid, the firm can adjust the price of all its products. We characterize analytically the steady state firm’s decisions in terms of the structural parameters: the variability of the flexible prices, the curvature of the profit function, the size of the menu cost, and the number of products sold. We provide expressions for the steady state frequency of adjustment, the hazard rate of price adjustments, and the size distribution of price changes, all in terms of the structural parameters. We study analytically the impulse response of aggregate prices and output to a monetary shock. The size of the output response and its duration increase with the number of products, they more than double as the number of products goes from 1 to ten, quickly converging to the ones of Taylor’s staggered price model.

Suggested Citation

  • Fernando Alvarez & Francesco Lippi, 2013. "Price setting with menu cost for multi-product firms," EIEF Working Papers Series 1302, Einaudi Institute for Economics and Finance (EIEF), revised Feb 2013.
  • Handle: RePEc:eie:wpaper:1302
    as

    Download full text from publisher

    File URL: http://www.eief.it/files/2013/02/wp-02-price-setting-with-menu-cost-for-multi-product-firms.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Levy, Daniel & Bergen, Mark & Dutta, Shantanu & Venable, Robert, 1997. "The Magnitude of Menu Costs: Direct Evidence from Large U.S. Supermarket Chains," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 112(3), pages 791-824.
    2. Fernando E. Alvarez & Francesco Lippi & Luigi Paciello, 2011. "Optimal Price Setting With Observation and Menu Costs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1909-1960.
    3. Dutta, Shantanu, et al, 1999. "Menu Costs, Posted Prices, and Multiproduct Retailers," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 683-703, November.
    4. Mark Gertler & John Leahy, 2008. "A Phillips Curve with an Ss Foundation," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 533-572, June.
    5. Pasten, Ernesto & Schoenle, Raphael, 2016. "Rational inattention, multi-product firms and the neutrality of money," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 1-16.
    6. Alberto Cavallo, 2018. "Scraped Data and Sticky Prices," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 105-119, March.
    7. Lach, Saul & Tsiddon, Daniel, 1992. "The Behavior of Prices and Inflation: An Empirical Analysis of Disaggregated Price Data," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 349-389, April.
    8. Emmanuel Dhyne & Jerzy Konieczny, 2007. "Temporal Distribution of Price Changes: Staggering in the Large and Synchronization in the Small," Working Paper series 01_07, Rimini Centre for Economic Analysis.
    9. Bhattarai, Saroj & Schoenle, Raphael, 2014. "Multiproduct firms and price-setting: Theory and evidence from U.S. producer prices," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 178-192.
    10. francesco lippi & Luigi Paciello & Fernando Alvarez, 2012. "Monetary Shocks with Observation and Menu Costs," 2012 Meeting Papers 439, Society for Economic Dynamics.
    11. Fredrik Wulfsberg, 2009. "Price adjustments and inflation - evidence from Norwegian consumer price data 1975-2004," Working Paper 2009/11, Norges Bank.
    12. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 171-199.
    13. Guiseppe Bertola & Ricardo J. Caballero, 1994. "Irreversibility and Aggregate Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 223-246.
    14. Eytan Sheshinski & Yoram Weiss, 1992. "Staggered and Synchronized Price Policies Under Inflation: The Multiproduct Monopoly Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 331-359.
    15. Laurent Baudry & Hervé Le Bihan & Patrick Sevestre & Sylvie Tarrieu, 2007. "What do Thirteen Million Price Records have to Say about Consumer Price Rigidity?," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(2), pages 139-183, April.
    16. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo & Josephine Smith, 2014. "How Frequent Are Small Price Changes?," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(2), pages 137-155, April.
    17. Pinelopi K. Goldberg & Rebecca Hellerstein, 2009. "How rigid are producer prices?," Staff Reports 407, Federal Reserve Bank of New York.
    18. Alberto Cavallo & Roberto Rigobon, 2011. "The Distribution of the Size of Price Changes," NBER Working Papers 16760, National Bureau of Economic Research, Inc.
    19. 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.
    20. Fisher, Timothy C. G. & Konieczny, Jerzy D., 2000. "Synchronization of price changes by multiproduct firms: evidence from Canadian newspaper prices," Economics Letters, Elsevier, vol. 68(3), pages 271-277, September.
    21. Neiman, Brent, 2010. "Stickiness, synchronization, and passthrough in intrafirm trade prices," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 295-308, April.
    22. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 95-119.
    23. Baccarin, Stefano, 2009. "Optimal impulse control for a multidimensional cash management system with generalized cost functions," European Journal of Operational Research, Elsevier, vol. 196(1), pages 198-206, July.
    24. Rajesh Chakrabarti & Barry Scholnick, 2007. "The mechanics of price adjustment: new evidence on the (un)importance of menu costs," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(7), pages 657-668.
    25. Etienne Gagnon, 2009. "Price Setting during Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1221-1263.
    26. Ricardo Reis, 2006. "Inattentive Producers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 793-821.
    27. repec:nbr:nberre:0126 is not listed on IDEAS
    28. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    29. Avinash Dixit, 1991. "Analytical Approximations in Models of Hysteresis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(1), pages 141-151.
    30. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September.
    31. Pinelopi K. Goldberg & Rebecca Hellerstein, 2009. "How rigid are producer prices?," Staff Reports 407, Federal Reserve Bank of New York.
    32. repec:pri:cepsud:193goldberg is not listed on IDEAS
    33. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(1), pages 17-26.
    34. repec:pri:cepsud:211schoenle is not listed on IDEAS
    35. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 287-303.
    36. Daniel Tsiddon, 1993. "The (Mis)Behaviour of the Aggregate Price Level," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 889-902.
    37. Bonomo, Marco & Carvalho, Carlos, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1015-1041, December.
    Full references (including those not matched with items on IDEAS)

    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. Fernando Alvarez & Hervé Le Bihan & Francesco Lippi, 2013. "Small and Large Price Changes and the Propagation of Monetary Shocks," EIEF Working Papers Series 1318, Einaudi Institute for Economics and Finance (EIEF), revised Aug 2013.
    2. Emmanuel Dhyne & Jerzy Konieczny & Fabio Rumler & Patrick Sevestre, 2009. "Price rigidity in the euro area - An assessment," European Economy - Economic Papers 2008 - 2015 380, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    3. Etienne Gagnon & David López-Salido & Nicolas Vincent, 2013. "Individual Price Adjustment along the Extensive Margin," NBER Macroeconomics Annual, University of Chicago Press, vol. 27(1), pages 235-281.
    4. Erwan Gautier, 2008. "Les ajustements micro conomiques des prix : une synth se des mod les Théoriques et résultats empiriques," Working papers 211, Banque de France.
    5. Alexander L. Wolman, 2007. "The frequency and costs of individual price adjustment," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(6), pages 531-552.
    6. Alvarez González, Luis Julián, 2008. "What Do Micro Price Data Tell Us on the Validity of the New Keynesian Phillips Curve?," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 2, pages 1-36.
    7. Emi Nakamura & Jón Steinsson, 2013. "Price Rigidity: Microeconomic Evidence and Macroeconomic Implications," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 133-163, May.
    8. 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.
    9. Marco Bonomo & Carlos Carvalho, 2010. "Imperfectly Credible Disinflation under Endogenous Time‐Dependent Pricing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(5), pages 799-831, August.
    10. Bhattarai, Saroj & Schoenle, Raphael, 2014. "Multiproduct firms and price-setting: Theory and evidence from U.S. producer prices," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 178-192.
    11. francesco lippi & Luigi Paciello & Fernando Alvarez, 2012. "Monetary Shocks with Observation and Menu Costs," 2012 Meeting Papers 439, Society for Economic Dynamics.
    12. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo & Josephine Smith, 2014. "How Frequent Are Small Price Changes?," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(2), pages 137-155, April.
    13. Emmanuel Dhyne & Jerzy Konieczny, 2014. "Aggregation And The Staggering Of Price Changes," Economic Inquiry, Western Economic Association International, vol. 52(2), pages 732-756, April.
    14. Fernando E. Alvarez & Francesco Lippi & Luigi Paciello, 2011. "Optimal Price Setting With Observation and Menu Costs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(4), pages 1909-1960.
    15. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, July.
    16. Peter Karadi & Adam Reiff, 2019. "Menu Costs, Aggregate Fluctuations, and Large Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(3), pages 111-146, July.
    17. repec:rim:rimwps:24-02 is not listed on IDEAS
    18. Stéphane Dupraz, 2024. "A Kinked‐Demand Theory of Price Rigidity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(2-3), pages 325-363, March.
    19. Andrea Stella, 2014. "The Magnitude of Menu Costs: A Structural Estimation," 2014 Meeting Papers 436, Society for Economic Dynamics.
    20. Yang, Choongryul, 2022. "Rational inattention, menu costs, and multi-product firms: Micro evidence and aggregate implications," Journal of Monetary Economics, Elsevier, vol. 128(C), pages 105-123.

    More about this item

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

    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:eie:wpaper:1302. 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: Facundo Piguillem (email available below). General contact details of provider: https://edirc.repec.org/data/einauit.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.