IDEAS home Printed from https://ideas.repec.org/p/bdm/wpaper/2009-09.html

Analysis of the Dynamics of Mexican Inflation Using Wavelets

Author

Listed:
  • Ysusi Carla

Abstract

This paper studies the dynamics of Mexican inflation by using a wavelet multiresolution analysis on 16 indexes of the Mexican Consumer Price Index. This enables us to estimate the long-term trend, seasonality, and local shocks of the inflation series, even when the series are non-stationary. The energy distribution between the high frequency, seasonal, and trend components, as well as its evolution through time, are compared. In particular, headline and core inflations show a more stable behavior in all the scales since 2001. Also, an increase in the proportion of variance explained by short-term variations is detected in the inflation series. In relative terms, the short run is becoming as important for headline inflation as the medium and long run, and more important for non-core inflation. These results are in line with previous studies documenting the reduction in the Mexican inflation persistence.

Suggested Citation

  • Ysusi Carla, 2009. "Analysis of the Dynamics of Mexican Inflation Using Wavelets," Working Papers 2009-09, Banco de México.
  • Handle: RePEc:bdm:wpaper:2009-09
    as

    Download full text from publisher

    File URL: https://www.banxico.org.mx/publications-and-press/banco-de-mexico-working-papers/%7B7EF0E81F-D415-8FA1-0141-0646473C5DF7%7D.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ramsey James B. & Lampart Camille, 1998. "The Decomposition of Economic Relationships by Time Scale Using Wavelets: Expenditure and Income," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(1), pages 1-22, April.
    2. Manuel Ramos-Francia & Alberto Torres, 2005. "Reducing Inflation through Inflation Targeting: The Mexican Experience," Springer Books, in: Rolf J. Langhammer & Lúcio Vinhas Souza (ed.), Monetary Policy and Macroeconomic Stabilization in Latin America, pages 1-29, Springer.
    3. Jensen, Mark J., 2000. "An alternative maximum likelihood estimator of long-memory processes using compactly supported wavelets," Journal of Economic Dynamics and Control, Elsevier, vol. 24(3), pages 361-387, March.
    4. Carlos Capistrán & Manuel Ramos‐Francia, 2009. "Inflation Dynamics In Latin America," Contemporary Economic Policy, Western Economic Association International, vol. 27(3), pages 349-362, July.
    5. Christoph Schleicher, 2002. "An Introduction to Wavelets for Economists," Staff Working Papers 02-3, Bank of Canada.
    6. Llosa, Luis-Gonzalo & Tuesta, Vicente, 2009. "Learning about monetary policy rules when the cost-channel matters," Journal of Economic Dynamics and Control, Elsevier, vol. 33(11), pages 1880-1896, November.
    7. Davidson, Russell & Labys, Walter C & Lesourd, Jean-Baptiste, 1998. "Wavelet Analysis of Commodity Price Behavior," Computational Economics, Springer;Society for Computational Economics, vol. 11(1-2), pages 103-128, April.
    8. Guillermo Felices & Vicente Tuesta, 2013. "Monetary policy in a dual currency environment," Applied Economics, Taylor & Francis Journals, vol. 45(34), pages 4739-4753, December.
    9. Mark J. Jensen, 1997. "Using Wavelets to Obtain a Consistent Ordinary Least Squares Estimator of the Long Memory Parameter," Econometrics 9710002, University Library of Munich, Germany.
    10. Ramsey, James B. & Zhang, Zhifeng, 1997. "The analysis of foreign exchange data using waveform dictionaries," Journal of Empirical Finance, Elsevier, vol. 4(4), pages 341-372, December.
    11. Nicoletta Batini, 2006. "Euro area inflation persistence," Empirical Economics, Springer, vol. 31(4), pages 977-1002, November.
    12. Jim Granato & Melody Lo & M. C. Sunny Wong, 2007. "A note on Romer's openness-inflation relation: the responsiveness of AS and AD to economic openness and monetary policy," Applied Economics, Taylor & Francis Journals, vol. 39(2), pages 191-197.
    13. Crowley, Patrick M., 2005. "An intuitive guide to wavelets for economists," Bank of Finland Research Discussion Papers 1/2005, Bank of Finland.
    14. Pivetta, Frederic & Reis, Ricardo, 2007. "The persistence of inflation in the United States," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1326-1358, April.
    15. Paul Castillo & Alberto Humala & Vicente Tuesta, 2007. "Monetary Policy, Regime Shifts, and Inflation Uncertainty in Peru (1949-2006)," Working Papers 2007-005, Banco Central de Reserva del Perú.
    16. Patrick Crowley, 2005. "An intuitive guide to wavelets for economists," Econometrics 0503017, University Library of Munich, Germany.
    17. Daniel Chiquiar & Antonio Noriega & Manuel Ramos-Francia, 2010. "A time-series approach to test a change in inflation persistence: the Mexican experience," Applied Economics, Taylor & Francis Journals, vol. 42(24), pages 3067-3075.
    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. Jamal Bouoiyour & Refk Selmi, 2014. "The Nexus between Inflation and Inflation Uncertainty via wavelet approach: Some Lessons from Egyptian case," Economics Bulletin, AccessEcon, vol. 34(4), pages 2093-2106.
    2. Andrea Sbarile, 2025. "In Der Welle Des Preises Mitschwimmen: A Multichannel View of the Weimar Hyperinflation," Open Economies Review, Springer, vol. 36(4), pages 1097-1124, September.
    3. Jamal Bouoiyour & Refk Selmi, 2014. "The Nexus between Inflation and Inflation Uncertainty via wavelet approach: Some Lessons from Egyptian case," Economics Bulletin, AccessEcon, vol. 34(4), pages 2093-2106.

    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. Francis In & Sangbae Kim, 2012. "An Introduction to Wavelet Theory in Finance:A Wavelet Multiscale Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8431, March.
    2. Boubaker Heni & Canarella Giorgio & Gupta Rangan & Miller Stephen M., 2017. "Time-varying persistence of inflation: evidence from a wavelet-based approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(4), pages 1-18, September.
    3. Avishek Bhandari, 2020. "A wavelet analysis of inter-dependence, contagion and long memory among global equity markets," Papers 2003.14110, arXiv.org.
    4. Georgios P. Kouretas & Mark E. Wohar, 2012. "The dynamics of inflation: a study of a large number of countries," Applied Economics, Taylor & Francis Journals, vol. 44(16), pages 2001-2026, June.
    5. Ozun, Alper & Cifter, Atilla, 2007. "Modeling Long-Term Memory Effect in Stock Prices: A Comparative Analysis with GPH Test and Daubechies Wavelets," MPRA Paper 2481, University Library of Munich, Germany.
    6. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    7. Canarella, Giorgio & Miller, Stephen M., 2017. "Inflation targeting and inflation persistence: New evidence from fractional integration and cointegration," Journal of Economics and Business, Elsevier, vol. 92(C), pages 45-62.
    8. Crowley, Patrick M., 2005. "An intuitive guide to wavelets for economists," Bank of Finland Research Discussion Papers 1/2005, Bank of Finland.
    9. Antonio Noriega & Carlos Capistrán & Manuel Ramos-Francia, 2013. "On the dynamics of inflation persistence around the world," Empirical Economics, Springer, vol. 44(3), pages 1243-1265, June.
    10. Cortés Espada Josué Fernando & Sámano Daniel & Gutiérrez Villanueva Rubí, 2019. "Dynamics of Mexican Inflation: A Wavelet Analysis," Working Papers 2019-17, Banco de México.
    11. Dowd, Kevin & Cotter, John & Loh, Lixia, 2011. "U.S. Core Inflation: A Wavelet Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 15(4), pages 513-536, September.
    12. Haven, Emmanuel & Liu, Xiaoquan & Shen, Liya, 2012. "De-noising option prices with the wavelet method," European Journal of Operational Research, Elsevier, vol. 222(1), pages 104-112.
    13. Jensen Mark J., 1999. "An Approximate Wavelet MLE of Short- and Long-Memory Parameters," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-17, January.
    14. Yushu Li, 2015. "Estimate Long Memory Causality Relationship by Wavelet Method," Computational Economics, Springer;Society for Computational Economics, vol. 45(4), pages 531-544, April.
    15. In, Francis & Kim, Sangbae, 2006. "Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis," Journal of Multinational Financial Management, Elsevier, vol. 16(4), pages 411-423, October.
    16. Lin Shinn-Juh & Stevenson Maxwell, 2001. "Wavelet Analysis of the Cost-of-Carry Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-17, April.
    17. Ramos-Francia, Manuel & Torres, Alberto, 2008. "Inflation dynamics in Mexico: A characterization using the New Phillips curve," The North American Journal of Economics and Finance, Elsevier, vol. 19(3), pages 274-289, December.
    18. Ibrahim Ahamada & Philippe Jolivaldt, 2010. "Classical vs wavelet-based filters Comparative study and application to business cycle," Documents de travail du Centre d'Economie de la Sorbonne 10027, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    19. Paolo Zagaglia, 2024. "The Predictive Power of the Yield Spread Under the Veil of Time," Journal of Finance and Investment Analysis, SCIENPRESS Ltd, vol. 13(3), pages 1-1.
    20. Avishek BHANDARI, 2017. "Wavelets based multiscale analysis of select global equity returns," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(4(613), W), pages 75-88, Winter.

    More about this item

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

    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:bdm:wpaper:2009-09. 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: Subgerencia de desarrollo de sistemas (email available below). General contact details of provider: https://edirc.repec.org/data/bangvmx.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.