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Price setting with menu cost for multi-product firms

  • Fernando Alvarez

    (University of Chicago)

  • Francesco Lippi

    (University of Sassari and EIEF)

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.

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Paper provided by Einaudi Institute for Economics and Finance (EIEF) in its series EIEF Working Papers Series with number 1302.

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Length: 78 pages
Date of creation: 2013
Date of revision: Feb 2013
Handle: RePEc:eie:wpaper:1302
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  1. 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.
  2. Fernando Alvarez & Francesco Lippi & Luigi Paciello, 2010. "Optimal Price Setting with Observation and Menu Costs," EIEF Working Papers Series 1010, Einaudi Institute for Economics and Finance (EIEF), revised May 2010.
  3. Raphael S. Schoenle & Saroj Bhattarai, 2011. "Multiproduct Firms and Price-Setting: Theory and Evidence from U.S. Producer Prices," 2011 Meeting Papers 926, Society for Economic Dynamics.
  4. Bonomo, Marco & Carvalho, Carlos, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1015-41, December.
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  7. 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, 04.
  8. Leif Danziger, 1998. "A Dynamic Economy with Costly Price Adjustment," Cahiers de recherche CREFE / CREFE Working Papers 83, CREFE, Université du Québec à Montréal.
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  11. Pinelopi Goldberg & Rebecca Hellerstein, 2009. "How Rigid Are Producer Prices?," Working Papers 1184, Princeton University, Department of Economics, Center for Economic Policy Studies..
  12. 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 349-89, April.
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  15. Alvarez, Fernando & Lippi, Francesco & Paciello, Luigi, 2013. "Monetary Shocks with Observation and Menu Costs," CEPR Discussion Papers 9488, C.E.P.R. Discussion Papers.
  16. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
  17. Barro, Robert J, 1972. "A Theory of Monopolistic Price Adjustment," Review of Economic Studies, Wiley Blackwell, vol. 39(1), pages 17-26, January.
  18. Ernesto Pastén, 2012. "Rational Inattention, Multi-Product Firms and the Neutrality of Money," Working Papers Central Bank of Chile 664, Central Bank of Chile.
  19. Dixit, Avinash, 1991. "Analytical Approximations in Models of Hysteresis," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 141-51, January.
  20. Alberto Cavallo, 2015. "Scraped Data and Sticky Prices," NBER Working Papers 21490, National Bureau of Economic Research, Inc.
  21. Sheshinski, Eytan & Weiss, Yoram, 1977. "Inflation and Costs of Price Adjustment," Review of Economic Studies, Wiley Blackwell, vol. 44(2), pages 287-303, June.
  22. Tsiddon, Daniel, 1993. "The (Mis)Behaviour of the Aggregate Price Level," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 889-902, October.
  23. Fredrik Wulfsberg, 2009. "Price adjustments and inflation - evidence from Norwegian consumer price data 1975-2004," Working Paper 2009/11, Norges Bank.
  24. Neiman, Brent, 2010. "Stickiness, synchronization, and passthrough in intrafirm trade prices," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 295-308, April.
  25. Alberto Cavallo & Roberto Rigobon, 2011. "The Distribution of the Size of Price Changes," NBER Working Papers 16760, National Bureau of Economic Research, Inc.
  26. 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.
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