IDEAS home Printed from https://ideas.repec.org/p/cdp/texdis/td638.html
   My bibliography  Save this paper

Functional data analysis for brazilian term structure of interest rate

Author

Listed:
  • Lucélia Vaz

    (Federal Center for Technological Education of Minas Gerais)

  • Rodrigo Raad

    (Federal University of Minas Gerais)

Abstract

This paper analyzes the Brazilian nominal yield curves based on a Functional Data Anal- ysis framework. Specifically, we use functional principal component analysis to describe sources of variability of the yield curves and their related level, slope, and curvature. Addi- tionally, we present a functional linear regression model to investigate the macroeconomic determinants of the yield curves. We conclude that the level shocks strongly explain the source of variability in the interest rate curves. Moreover, the slope changes correspond to the second-largest source of variability. It is negatively affected by the nominal exchange rate and Selic reference rate and positively by Brazil’s risk and industrial capacity utilization. We also infer that the following explanatory variables expected inflation, Selic reference rate, Brazil risk, and industrial capacity utilization, have positive effects on the level of the yield curves. The variables Selic, Brazil risk, and the nominal exchange rate positively impact cur- vature. Furthermore, it is negatively impacted by industrial capacity utilization and expected inflation.

Suggested Citation

  • Lucélia Vaz & Rodrigo Raad, 2021. "Functional data analysis for brazilian term structure of interest rate," Textos para Discussão Cedeplar-UFMG 638, Cedeplar, Universidade Federal de Minas Gerais.
  • Handle: RePEc:cdp:texdis:td638
    as

    Download full text from publisher

    File URL: https://www.cedeplar.ufmg.br/pesquisas/td/TD%20638.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Vasicek, Oldrich A & Fong, H Gifford, 1982. "Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-348, May.
    2. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    3. Inoue, Atsushi & Rossi, Barbara, 2019. "The effects of conventional and unconventional monetary policy on exchange rates," Journal of International Economics, Elsevier, vol. 118(C), pages 419-447.
    4. Svensson, Lars E O, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992-4," CEPR Discussion Papers 1051, C.E.P.R. Discussion Papers.
    5. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    6. McCulloch, J Huston, 1975. "An Estimate of the Liquidity Premium," Journal of Political Economy, University of Chicago Press, vol. 83(1), pages 95-119, February.
    7. Sudheer Chava & Robert A. Jarrow, 2008. "Bankruptcy Prediction with Industry Effects," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 21, pages 517-549, World Scientific Publishing Co. Pte. Ltd..
    8. Svensson, L.E.O., 1994. "Estimating and Interpreting Foreward Interest Rates: Sweden 1992-1994," Papers 579, Stockholm - International Economic Studies.
    9. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    10. Almeida, Caio & Faria, Adriano, 2014. "Forecasting the Brazilian Term Structure Using Macroeconomic Factors," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 34(1), March.
    11. Franses, Philip Hans & Paap, Richard, 2004. "Periodic Time Series Models," OUP Catalogue, Oxford University Press, number 9780199242030, Decembrie.
    12. Michiel De Pooter, 2007. "Examining the Nelson-Siegel Class of Term Structure Models," Tinbergen Institute Discussion Papers 07-043/4, Tinbergen Institute.
    13. Daniel F. Waggoner, 1997. "Spline methods for extracting interest rate curves from coupon bond prices," FRB Atlanta Working Paper 97-10, Federal Reserve Bank of Atlanta.
    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. Faria, Adriano & Almeida, Caio, 2018. "A hybrid spline-based parametric model for the yield curve," Journal of Economic Dynamics and Control, Elsevier, vol. 86(C), pages 72-94.
    2. Tong, Xiaojun & He, Zhuoqiong Chong & Sun, Dongchu, 2018. "Estimating Chinese Treasury yield curves with Bayesian smoothing splines," Econometrics and Statistics, Elsevier, vol. 8(C), pages 94-124.
    3. Rafael Barros de Rezende, 2011. "Giving Flexibility to the Nelson-Siegel Class of Term Structure Models," Brazilian Review of Finance, Brazilian Society of Finance, vol. 9(1), pages 27-49.
    4. Vadim Kaushanskiy & Victor Lapshin, 2016. "A nonparametric method for term structure fitting with automatic smoothing," Applied Economics, Taylor & Francis Journals, vol. 48(58), pages 5654-5666, December.
    5. repec:jss:jstsof:36:i01 is not listed on IDEAS
    6. Ranik Raaen Wahlstrøm & Florentina Paraschiv & Michael Schürle, 2022. "A Comparative Analysis of Parsimonious Yield Curve Models with Focus on the Nelson-Siegel, Svensson and Bliss Versions," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 967-1004, March.
    7. Lauren Stagnol, 2019. "Extracting global factors from local yield curves," Journal of Asset Management, Palgrave Macmillan, vol. 20(5), pages 341-350, September.
    8. Rui Chen & Jiri Svec & Maurice Peat, 2016. "Forecasting the Government Bond Term Structure in Australia," Australian Economic Papers, Wiley Blackwell, vol. 55(2), pages 99-111, June.
    9. Mohamed Amine Boutabba & Yves Rannou, 2020. "Investor strategies and Liquidity Premia in the European Green Bond market," Post-Print hal-02544451, HAL.
    10. Eder, Armin & Keiler, Sebastian & Pichl, Hannes, 2013. "Interest rate risk and the Swiss solvency test," Discussion Papers 41/2013, Deutsche Bundesbank.
    11. Wei-Choun Yu & Donald M. Salyards, 2009. "Parsimonious modeling and forecasting of corporate yield curve," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 28(1), pages 73-88.
    12. Christensen, Bent Jesper & Kjær, Mads Markvart & Veliyev, Bezirgen, 2023. "The incremental information in the yield curve about future interest rate risk," Journal of Banking & Finance, Elsevier, vol. 155(C).
    13. Andrea Carriero & George Kapetanios & Massimiliano Marcellino, 2010. "Forecasting Government Bond Yields with Large Bayesian VARs," Working Papers 662, Queen Mary University of London, School of Economics and Finance.
    14. Michał Brzoza-Brzezina & Jacek Kotłowski, 2014. "Measuring the natural yield curve," Applied Economics, Taylor & Francis Journals, vol. 46(17), pages 2052-2065, June.
    15. Caldeira, João F. & Moura, Guilherme V. & Santos, André A.P., 2016. "Predicting the yield curve using forecast combinations," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 79-98.
    16. Shaw, Frances & Murphy, Finbarr & O’Brien, Fergal, 2014. "The forecasting efficiency of the dynamic Nelson Siegel model on credit default swaps," Research in International Business and Finance, Elsevier, vol. 30(C), pages 348-368.
    17. Julian Manzano & Jorgen Blomvall, 2004. "Positive forward rates in the maximum smoothness framework," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 221-232.
    18. Lelo de Larrea Alejandra, 2020. "Forecast Comparison of the Term Structure of Interest Rates of Mexico for Different Specifications of the Affine Model," Working Papers 2020-01, Banco de México.
    19. Annaert, Jan & Claes, Anouk G.P. & De Ceuster, Marc J.K. & Zhang, Hairui, 2013. "Estimating the spot rate curve using the Nelson–Siegel model," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 482-496.
    20. Gaus, Eric & Sinha, Arunima, 2018. "What does the yield curve imply about investor expectations?," Journal of Macroeconomics, Elsevier, vol. 57(C), pages 248-265.
    21. Wali Ullah & Yasumasa Matsuda, 2012. "Term Structure Modeling and Forecasting of Government Bond Yields : Does Macroeconomic Factors Imply Better Out-of-Sample Forecasts?," TERG Discussion Papers 304, Graduate School of Economics and Management, Tohoku University.

    More about this item

    Keywords

    Functional data analysis; functional principal component analysis; term structure of interest rate.;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:cdp:texdis:td638. 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: Gustavo Britto (email available below). General contact details of provider: https://edirc.repec.org/data/pufmgbr.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.