IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v331y2004i1p253-268.html
   My bibliography  Save this article

Finite-time singularities in the dynamics of Mexican financial crises

Author

Listed:
  • Alvarez-Ramirez, Jose
  • Ibarra-Valdez, Carlos

Abstract

Historically, symptoms of Mexican financial crises have been strongly reflected in the dynamics of the Mexican peso to the dollar exchange currency market. Specifically, in the Mexican financial crises during 1990's, the peso suffered significant depreciation processes, which has important impacts in the macro- and micro-economical environment. In this paper, it is shown that the peso depreciation growth was greater than an exponential and that these growth rates are compatible with a spontaneous singularity occurring at a critical time, which signals an abrupt transition to new dynamical conditions. As in the major 1990's financial crisis in 1994–1995, some control actions (e.g., increasing the USA dollar supply) are commonly taken to decelerate the degree of abruptness of peso depreciation. Implications of these control actions on the crisis dynamics are discussed. Interestingly, by means of a simple model, it is demonstrated that the time at which the control actions begin to apply is critical to moderate the adverse effects of the financial crisis.

Suggested Citation

  • Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos, 2004. "Finite-time singularities in the dynamics of Mexican financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 253-268.
    • Handle: RePEc:eee:phsmap:v:331:y:2004:i:1:p:253-268
    DOI: 10.1016/j.physa.2003.09.058
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103008367
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2003.09.058?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mizuno, T. & Takayasu, M. & Takayasu, H., 2002. "The mechanism of double-exponential growth in hyper-inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 411-419.
    2. A. Johansen & D. Sornette, 2002. "Endogenous versus Exogenous Crashes in Financial Markets," Papers cond-mat/0210509, arXiv.org.
    3. Froyen, Richard T. & Waud, Roger N., 2002. "The determinants of Federal Reserve policy actions: A re-examination," Journal of Macroeconomics, Elsevier, vol. 24(3), pages 413-428, September.
    4. Reinhart, Carmen & Goldstein, Morris & Kaminsky, Graciela, 2000. "Assessing financial vulnerability, an early warning system for emerging markets: Introduction," MPRA Paper 13629, University Library of Munich, Germany.
    5. Sornette, D & Takayasu, H & Zhou, W.-X, 2003. "Finite-time singularity signature of hyperinflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 492-506.
    6. Francisco Gil-Diaz, 1998. "The Origin of Mexico's 1994 Financial Crisis," Cato Journal, Cato Journal, Cato Institute, vol. 17(3), pages 303-313, Winter.
    Full references (including those not matched with items on IDEAS)

    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. Hartwell, Christopher A & Szybisz, Martin Andres, 2021. "Corralling Expectations: The Role of Institutions in (Hyper)Inflation," MPRA Paper 105612, University Library of Munich, Germany.
    2. Szybisz, Martín A. & Szybisz, Leszek, 2017. "Extended nonlinear feedback model for describing episodes of high inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 91-108.
    3. Sornette, D & Takayasu, H & Zhou, W.-X, 2003. "Finite-time singularity signature of hyperinflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 492-506.
    4. Szybisz, Martín A. & Szybisz, Leszek, 2017. "Hyperinflation in Brazil, Israel, and Nicaragua revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 1-12.
    5. Hartwell, Christopher A., 2019. "Short waves in Hungary, 1923 and 1946: Persistence, chaos, and (lack of) control," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 532-550.
    6. Carmen M. Reinhart, 2002. "Default, Currency Crises, and Sovereign Credit Ratings," The World Bank Economic Review, World Bank, vol. 16(2), pages 151-170, August.
    7. Barry Eichengreen & Poonam Gupta & Ashoka Mody, 2008. "Sudden Stops and IMF-Supported Programs," NBER Chapters, in: Financial Markets Volatility and Performance in Emerging Markets, pages 219-266, National Bureau of Economic Research, Inc.
    8. Stijn Claessens & M. Ayhan Kose, 2013. "Financial Crises: Explanations, Types and Implications," CAMA Working Papers 2013-06, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    9. Michael B. Devereux & Doris Poon, 2011. "Monetary Policy in Economic Crises: A Simple Model of Policy with External Financial Constraints," International Economic Journal, Taylor & Francis Journals, vol. 25(4), pages 683-711, December.
    10. Marc Flandreau & Juan H. Flores & Norbert Gaillard & Sebastián Nieto-Parra, 2010. "The End of Gatekeeping: Underwriters and the Quality of Sovereign Bond Markets, 1815–2007," NBER Chapters, in: NBER International Seminar on Macroeconomics 2009, pages 53-92, National Bureau of Economic Research, Inc.
    11. Nunnenkamp, Peter, 2001. "Too Much, Too Little, or Too Volatile? International Capital Flows to Developing Countries in the 1990s," East Asian Economic Review, Korea Institute for International Economic Policy, vol. 5(1), pages 119-147, June.
    12. Cipollini, A. & Kapetanios, G., 2009. "Forecasting financial crises and contagion in Asia using dynamic factor analysis," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 188-200, March.
    13. Paolo Manasse & Roberto Savona & Marika Vezzoli, 2016. "Danger Zones for Banking Crises in Emerging Markets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 21(4), pages 360-381, October.
    14. Patrick Guillaumont, 2009. "An Economic Vulnerability Index: Its Design and Use for International Development Policy," Oxford Development Studies, Taylor & Francis Journals, vol. 37(3), pages 193-228.
    15. Marcel Fratzscher, 2003. "On currency crises and contagion," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 8(2), pages 109-129.
    16. Ignacio Lozano-Espitia & Alexander Guarín-López, 2015. "Fragilidad bancaria en Colombia: un análisis basado en las hojas de balance," Chapters, in: Jose E. Gomez-Gonzalez & Jair N. Ojeda-Joya (ed.), Política monetaria y estabilidad financiera en economías pequeñas y abiertas, chapter 10, pages 301-338, Banco de la Republica de Colombia.
    17. Amira Dridi & Mohamed El Ghourabi & Mohamed Limam, 2012. "On monitoring financial stress index with extreme value theory," Quantitative Finance, Taylor & Francis Journals, vol. 12(3), pages 329-339, March.
    18. L. Lin & M. Schatz & D. Sornette, 2019. "A simple mechanism for financial bubbles: time-varying momentum horizon," Quantitative Finance, Taylor & Francis Journals, vol. 19(6), pages 937-959, June.
    19. Jeffrey A. Frankel & Shang-Jin Wei, 2004. "Managing Macroeconomic Crises," NBER Working Papers 10907, National Bureau of Economic Research, Inc.
    20. Mustapha Djennas & Mohamed Benbouziane & Meriem Djennas, 2011. "An Approach of Combining Empirical Mode Decomposition and Neural Network Learning for Currency Crisis Forecasting," Working Papers 627, Economic Research Forum, revised 09 Jan 2011.

    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:eee:phsmap:v:331:y:2004:i:1:p:253-268. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.