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Time-varying (S,s) band models: properties and interpretation

Author Info

Listed author(s):
  • Erwan Gautier

    ()

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - UN - Université de Nantes, BF - Banque de France - Banque de France)

  • Hervé Le Bihan

    ()

    (BF - Banque de France - Banque de France)

Abstract

A recent strand of empirical work uses (S,s) models with time-varying stochastic bands to describe infrequent adjustments of prices and other variables. The present paper examines some properties of this model, which encompasses most micro-founded adjustment rules rationalizing infrequent changes. We illustrate that this model is flexible enough to fit data characterized by infrequent adjustment and variable adjustment size. We show that, to the extent that there is variability in the size of adjustments (e.g. if both small and large price changes are observed), i) a large band parameter is needed to fit the data and ii) the average band of inaction underlying the model may differ strikingly from the typical observed size of adjustment. The paper thus provides a rationalization for a recurrent empirical result: very large estimated values for the parameters measuring the band of inaction.

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Paper provided by HAL in its series Working Papers with number hal-00526295.

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Date of creation: 14 Oct 2010
Handle: RePEc:hal:wpaper:hal-00526295
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00526295
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Keywords: (S; s) models; adjustment costs; menu costs;

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Find related papers by JEL classification:
  • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
  • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
  • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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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, Oxford University Press, vol. 123(3), pages 863-904.
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  4. Jonathan L. Willis, 2000. "Estimation of adjustment costs in a model of state-dependent pricing," Research Working Paper RWP 00-07, Federal Reserve Bank of Kansas City.
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  6. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Microeconomic Adjustment Hazards and Aggregate Dynamics," The Quarterly Journal of Economics, Oxford University Press, vol. 108(2), pages 359-383.
  7. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115, pages 171-199.
  8. Dhyne, Emmanuel & Fuss, Catherine & Pesaran, M. Hashem & Sevestre, Patrick, 2011. "Lumpy Price Adjustments: A Microeconometric Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 529-540.
  9. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1999. "Explaining Investment Dynamics in U.S. Manufacturing: A Generalized (S,s) Approach," Econometrica, Econometric Society, vol. 67(4), pages 783-826, July.
  10. Grossman, Sanford J & Laroque, Guy, 1990. "Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods," Econometrica, Econometric Society, vol. 58(1), pages 25-51, January.
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  12. 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.
  13. Fisher, Timothy C. G. & Konieczny, Jerzy D., 2006. "Inflation and Costly Price Adjustment: A Study of Canadian Newspaper Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(3), pages 615-633, April.
  14. Bev Dahlby, 1992. "Price Adjustment in an Automobile Insurance Market: A Test of the Sheshinski-Weiss Model," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 564-583, August.
  15. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
  16. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 287-303.
  17. Orazio P. Attanasio, 2000. "Consumer Durables and Inertial Behaviour: Estimation and Aggregation of (S, s) Rules for Automobile Purchases," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 667-696.
  18. Fisher, Timothy C. G. & Konieczny, Jerzy D., 1995. "The relative rigidity of oligopoly pricing," Economics Letters, Elsevier, vol. 49(1), pages 33-38, July.
  19. Caballero, Ricardo J & Engel, Eduardo M R A & Haltiwanger, John, 1997. "Aggregate Employment Dynamics: Building from Microeconomic Evidence," American Economic Review, American Economic Association, vol. 87(1), pages 115-137, March.
  20. Erik Hurst & Christopher Foote & John Leahy, 2000. "Testing the (S, s) Model," American Economic Review, American Economic Association, vol. 90(2), pages 116-119, May.
  21. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
  22. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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Cited by:

  1. Dhyne, Emmanuel & Fuss, Catherine & Pesaran, M. Hashem & Sevestre, Patrick, 2011. "Lumpy Price Adjustments: A Microeconometric Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(4), pages 529-540.
  2. Bo E. Honoré & Daniel Kaufmann & Sarah Lein, 2012. "Asymmetries in Price‐Setting Behavior: New Microeconometric Evidence from Switzerland," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44, pages 211-236, December.
  3. Erwan Gautier & Ronan Le Saout, 2015. "The Dynamics of Gasoline Prices: Evidence from Daily French Micro Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(6), pages 1063-1089, 09.

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