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Price Setting with menu cost for Multi-product firms

  • Fernando E. Alvarez
  • Francesco Lippi

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 National Bureau of Economic Research, Inc in its series NBER Working Papers with number 17923.

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Date of creation: Mar 2012
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Publication status: published as Price setting with menu cost for multi-product firms, with Francesco Lippi, 2013. forthcoming, Econometrica.
Handle: RePEc:nbr:nberwo:17923
Note: EFG
Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
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  1. Saroj Bhattarai & Raphael Schoenle, 2010. "Multiproduct Firms and Price-Setting: Theory and Evidence from U.S. Producer Prices," Working Papers 1245, Princeton University, Department of Economics, Center for Economic Policy Studies..
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  3. 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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  9. Ernesto Pastén, 2012. "Rational Inattention, Multi-Product Firms and the Neutrality of Money," Working Papers Central Bank of Chile 664, Central Bank of Chile.
  10. 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.
  11. Emmanuel Dhyne & Jerzy Konieczny, 2007. "Temporal Distribution of Price Changes : Staggering in the Large and Synchronization in the Small," Working Paper Research 116, National Bank of Belgium.
  12. Marco Bonomo & Carlos Carvalho, 2004. "Endogenous Time-Dependent Rules and Inflation Inertia," Macroeconomics 0402005, EconWPA, revised 19 May 2005.
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  17. 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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  19. Barro, Robert J, 1972. "A Theory of Monopolistic Price Adjustment," Review of Economic Studies, Wiley Blackwell, vol. 39(1), pages 17-26, January.
  20. Neiman, Brent, 2010. "Stickiness, synchronization, and passthrough in intrafirm trade prices," Journal of Monetary Economics, Elsevier, vol. 57(3), pages 295-308, April.
  21. 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.
  22. 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 137-55, April.
  23. Etienne Gagnon, 2009. "Price Setting During Low and High Inflation: Evidence from Mexico," The Quarterly Journal of Economics, MIT Press, vol. 124(3), pages 1221-1263, August.
  24. Fredrik Wulfsberg, 2009. "Price adjustments and inflation - evidence from Norwegian consumer price data 1975-2004," Working Paper 2009/11, Norges Bank.
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