IDEAS home Printed from https://ideas.repec.org/p/bdm/wpaper/2016-04.html
   My bibliography  Save this paper

A Functional Approach to Test Trending Volatility

Author

Listed:
  • Hernández del Valle Gerardo
  • Juárez-Torres Miriam
  • Guerrero Santiago

Abstract

In this paper we extend the traditional GARCH(1,1) model by including a functional trend term in the conditional volatility of a time series. We derive the main properties of the model and apply it to all agricultural commodities in the Mexican CPI basket, as well as to the international prices of maize, wheat, pork, poultry and beef products for three different time periods that implied changes in price regulations and behavior. The proposed model seems to adequately fit the volatility process and, according to homoscedasticity tests, outperforms the ARCH(1) and GARCH(1,1) models, some of the most popular approaches used in the literature to analyze price volatility.

Suggested Citation

  • Hernández del Valle Gerardo & Juárez-Torres Miriam & Guerrero Santiago, 2016. "A Functional Approach to Test Trending Volatility," Working Papers 2016-04, Banco de México.
    • Handle: RePEc:bdm:wpaper:2016-04
    as

    Download full text from publisher

    File URL: https://www.banxico.org.mx/publications-and-press/banco-de-mexico-working-papers/%7B91C9313C-8C79-6CA3-7D00-74CF296192CD%7D.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. David S. Jacks & Kevin H. O'Rourke & Jeffrey G. Williamson, 2011. "Commodity Price Volatility and World Market Integration since 1700," The Review of Economics and Statistics, MIT Press, vol. 93(3), pages 800-813, August.
    2. Engle, Robert F & Ng, Victor K, 1993. "Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    3. Christian Bauer, 2007. "A Better Asymmetric Model of Changing Volatility in Stock and Exchange Rate Returns: Trend-GARCH," The European Journal of Finance, Taylor & Francis Journals, vol. 13(1), pages 65-87.
    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. Guerrero-Escobar Santiago & Hernández-del-Valle Gerardo & Hernández Vega Marco & De-la-Mora Paula, 2023. "The Stock Market Effects of Committing and Setting GHG Targets: Evidence from the Science-Based Initiative," Working Papers 2023-15, Banco de México.

    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. Santiago Guerrero & Gerardo Hernández†del†Valle & Miriam Juárez†Torres, 2017. "Using a functional approach to test trending volatility in the price of Mexican and international agricultural products," Agricultural Economics, International Association of Agricultural Economists, vol. 48(1), pages 3-13, January.
    2. Lourdes Uribe & Benjamin Perea & Gerardo Hernández-del-Valle & Oliver Schütze, 2018. "A Hybrid Metaheuristic for the Efficient Solution of GARCH with Trend Models," Computational Economics, Springer;Society for Computational Economics, vol. 52(1), pages 145-166, June.
    3. Angelica Gianfreda, 2010. "Volatility and Volume Effects in European Electricity Spot Markets," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 39(1‐2), pages 47-63, February.
    4. Arif Oduncu, 2011. "The Effects of Currency Futures Trading on Turkish Currency Market," Journal of BRSA Banking and Financial Markets, Banking Regulation and Supervision Agency, vol. 5(1), pages 97-109.
    5. Becker, Ralf & Clements, Adam E., 2008. "Are combination forecasts of S&P 500 volatility statistically superior?," International Journal of Forecasting, Elsevier, vol. 24(1), pages 122-133.
    6. Chotipong Charoensom, 2024. "An Estimation of Regime Switching Models with Nonlinear Endogenous Switching," PIER Discussion Papers 217, Puey Ungphakorn Institute for Economic Research.
    7. Giraitis, Liudas & Leipus, Remigijus & Robinson, Peter M. & Surgailis, Donatas, 2004. "LARCH, leverage, and long memory," LSE Research Online Documents on Economics 294, London School of Economics and Political Science, LSE Library.
    8. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2019. "Return spillovers around the globe: A network approach," Economic Modelling, Elsevier, vol. 77(C), pages 133-146.
    9. Goncalves, Silvia & Kilian, Lutz, 2004. "Bootstrapping autoregressions with conditional heteroskedasticity of unknown form," Journal of Econometrics, Elsevier, vol. 123(1), pages 89-120, November.
    10. Xilong Chen & Eric Ghysels, 2011. "News--Good or Bad--and Its Impact on Volatility Predictions over Multiple Horizons," The Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 46-81, October.
    11. João Caldeira & Guilherme Moura & André A.P. Santos, 2012. "Portfolio optimization using a parsimonious multivariate GARCH model: application to the Brazilian stock market," Economics Bulletin, AccessEcon, vol. 32(3), pages 1848-1857.
    12. Renatas Kizys & Peter Spencer, 2007. "Assessing the Relation between Equity Risk Premium and Macroeconomic Volatilities in the UK," Discussion Papers 07/13, Department of Economics, University of York.
    13. Alagidede, Paul & Panagiotidis, Theodore, 2009. "Modelling stock returns in Africa's emerging equity markets," International Review of Financial Analysis, Elsevier, vol. 18(1-2), pages 1-11, March.
    14. Hiroyuki Kawakatsu, 2019. "Jointly Modeling Autoregressive Conditional Mean and Variance of Non-Negative Valued Time Series," Econometrics, MDPI, vol. 7(4), pages 1-19, December.
    15. Daan Steenkamp & Henk Janse van Vuuren & Rossouw van Jaarsveld & Roy Havemann, 2022. "The bond market impact of the South African Reserve Bank bond purchase programme," Working Papers 876, Economic Research Southern Africa.
    16. Fuertes, Ana-Maria & Phylaktis, Kate & Yan, Cheng, 2019. "Uncovered equity “disparity” in emerging markets," Journal of International Money and Finance, Elsevier, vol. 98(C), pages 1-1.
    17. Anders Johansson, 2009. "An analysis of dynamic risk in the Greater China equity markets," Journal of Chinese Economic and Business Studies, Taylor & Francis Journals, vol. 7(3), pages 299-320.
    18. Christos Floros & Konstantinos Gkillas & Christoforos Konstantatos & Athanasios Tsagkanos, 2020. "Realized Measures to Explain Volatility Changes over Time," JRFM, MDPI, vol. 13(6), pages 1-19, June.
    19. Peter Christoffersen & Kris Jacobs & Chayawat Ornthanalai, 2012. "GARCH Option Valuation: Theory and Evidence," CREATES Research Papers 2012-50, Department of Economics and Business Economics, Aarhus University.
    20. Hartwell, Christopher A., 2014. "The impact of institutional volatility on financial volatility in transition economies : a GARCH family approach," BOFIT Discussion Papers 6/2014, Bank of Finland, Institute for Economies in Transition.

    More about this item

    Keywords

    Agricultural prices; volatility; GARCH models;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • Q18 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Agricultural Policy; Food Policy; Animal Welfare Policy

    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:2016-04. 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.