IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00526295.html
   My bibliography  Save this paper

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

Author

Listed:
  • Erwan Gautier

    (LEMNA - Laboratoire d'économie et de management de Nantes Atlantique - IEMN-IAE Nantes - Institut d'Économie et de Management de Nantes - Institut d'Administration des Entreprises - Nantes - 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.

Suggested Citation

  • Erwan Gautier & Hervé Le Bihan, 2010. "Time-varying (S,s) band models: properties and interpretation," Working Papers hal-00526295, HAL.
    • Handle: RePEc:hal:wpaper:hal-00526295
    Note: View the original document on HAL open archive server: https://hal.science/hal-00526295
    as

    Download full text from publisher

    File URL: https://hal.science/hal-00526295/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing and the General Equilibrium Dynamics of Money and Output," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 655-690.
    3. Emmanuel Dhyne & Luis J. Álvarez & Hervé Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lünnemann & Fabio Rumler & Jouko Vilmunen, 2005. "Price setting in the euro area: Some stylized facts from Individual Consumer Price Data," Working Paper Research 74, National Bank of Belgium.
    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.
    5. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Microeconomic Adjustment Hazards and Aggregate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(2), pages 359-383.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    11. 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.
    12. Emmanuel Dhyne & Luis J. Alvarez & Herve Le Bihan & Giovanni Veronese & Daniel Dias & Johannes Hoffmann & Nicole Jonker & Patrick Lunnemann & Fabio Rumler & Jouko Vilmunen, 2006. "Price Changes in the Euro Area and the United States: Some Facts from Individual Consumer Price Data," Journal of Economic Perspectives, American Economic Association, vol. 20(2), pages 171-192, Spring.
    13. 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.
    14. 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.
    15. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    16. 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.
    17. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    18. George Hall & John Rust, 2007. "The (S,s) Policy is an Optimal Trading Strategy in a Class of Commodity Price Speculation Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 515-538, March.
    19. Hall, George & Rust, John, 2000. "An empirical model of inventory investment by durable commodity intermediaries," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 52(1), pages 171-214, June.
    20. 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.
    21. 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.
    22. Orazio P. Attanasio, 2000. "Consumer Durables and Inertial Behaviour: Estimation and Aggregation of (S, s) Rules for Automobile Purchases," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 667-696.
    23. Fisher, Timothy C. G. & Konieczny, Jerzy D., 1995. "The relative rigidity of oligopoly pricing," Economics Letters, Elsevier, vol. 49(1), pages 33-38, July.
    24. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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(s2), 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, September.

    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. Denis Fougere & Erwan Gautier & Herve Le Bihan, 2010. "Restaurant Prices and the Minimum Wage," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(7), pages 1199-1234, October.
    2. Erwan Gautier, 2009. "Les ajustements microéconomiques des prix : une synthèse des modèles théoriques et résultats empiriques," Revue d'économie politique, Dalloz, vol. 119(3), pages 323-372.
    3. 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.
    4. 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.
    5. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 961-1013.
    6. Caballero, Ricardo J. & Engel, Eduardo M.R.A., 2007. "Price stickiness in Ss models: New interpretations of old results," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 100-121, September.
    7. 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.
    8. Bo E. Honor√ & 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.
    9. 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, September.
    10. Peter J. Klenow & Jonathan L. Willis, 2016. "Real Rigidities and Nominal Price Changes," Economica, London School of Economics and Political Science, vol. 83(331), pages 443-472, July.
    11. 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.
    12. Klenow, Peter J. & Willis, Jonathan L., 2007. "Sticky information and sticky prices," Journal of Monetary Economics, Elsevier, vol. 54(Supplemen), pages 79-99, September.
    13. 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.
    14. 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.
    15. 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.
    16. J. Konieczny, A. Skrzpacz, 2006. "Search, Costly Price Adjustment and the Frequency of Price Changes - Theory and Evidence," Working Papers eg0054, Wilfrid Laurier University, Department of Economics, revised 2006.
    17. 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.
    18. Virgiliu Midrigan, 2011. "Menu Costs, Multiproduct Firms, and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(4), pages 1139-1180, July.
    19. Costain, James & Nakov, Anton, 2015. "Precautionary price stickiness," Journal of Economic Dynamics and Control, Elsevier, vol. 58(C), pages 218-234.
    20. 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(2), pages 423-442, May.

    More about this item

    Keywords

    (S; s) models; adjustment costs; menu costs;
    All these keywords.

    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

    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:hal:wpaper:hal-00526295. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.