IDEAS home Printed from https://ideas.repec.org/p/bcb/wpaper/452.html
   My bibliography  Save this paper

A Joint Model of Nominal and Real Yield Curves

Author

Listed:
  • Daniela Kubudi
  • José Valentim Vicente

Abstract

In this paper we propose a joint model of the nominal and real yield curves. The model is arbitrage free and embodies incompleteness between the nominal and real bond markets. We estimate the model using the Kalman filter with Brazilian data. First we consider that only the yields are observed with errors. Although the model fits these yields well, it presents poor inflation forecasting performance. Then, besides nominal and real yields, we estimate the model assuming that one-year ahead survey-based inflation forecasting is also observed with errors. The results show that the model using survey information does a much better inflation forecasting job. In addition, using the model estimated with survey inflation data, we show that monetary policy has significant effects on the inflation expectation and risk premium.

Suggested Citation

  • Daniela Kubudi & José Valentim Vicente, 2016. "A Joint Model of Nominal and Real Yield Curves," Working Papers Series 452, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:452
    as

    Download full text from publisher

    File URL: https://www.bcb.gov.br/content/publicacoes/WorkingPaperSeries/wps452.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Almeida, Caio & Vicente, José, 2008. "The role of no-arbitrage on forecasting: Lessons from a parametric term structure model," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2695-2705, December.
    2. repec:bla:jfinan:v:53:y:1998:i:1:p:187-218 is not listed on IDEAS
    3. Joyce, Michael A.S. & Lildholdt, Peter & Sorensen, Steffen, 2010. "Extracting inflation expectations and inflation risk premia from the term structure: A joint model of the UK nominal and real yield curves," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 281-294, February.
    4. Svensson, L.E.O., 1993. "Monetary Policy with Flexible Exchange Rates and Foreward Interest Rates as Indicators," Papers 559, Stockholm - International Economic Studies.
    5. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    6. repec:fgv:epgrbe:v:66:n:3:a:2 is not listed on IDEAS
    7. Caio Almeida & Jos� Vicente, 2012. "Term structure movements implicit in Asian option prices," Quantitative Finance, Taylor & Francis Journals, vol. 12(1), pages 119-134, February.
    8. Caio Ibsen R. Almeida & José Valentim M. Vicente, 2006. "Term Structure Movements Implicit in Option Prices," Working Papers Series 128, Central Bank of Brazil, Research Department.
    9. Ang, Andrew & Bekaert, Geert & Wei, Min, 2007. "Do macro variables, asset markets, or surveys forecast inflation better?," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1163-1212, May.
    10. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
    11. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    12. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 495-514.
    13. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, February.
    14. Olesya V. Grishchenko & Jing-zhi Huang, 2012. "Inflation risk premium: evidence from the TIPS market," Finance and Economics Discussion Series 2012-06, Board of Governors of the Federal Reserve System (U.S.).
    15. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    16. Carolin E. Pflueger & Luis M. Viceira, 2011. "Return Predictability in the Treasury Market: Real Rates, Inflation, and Liquidity," NBER Working Papers 16892, National Bureau of Economic Research, Inc.
    17. Greg Duffee, 2011. "Forecasting with the term structure: The role of no-arbitrage restrictions," Economics Working Paper Archive 576, The Johns Hopkins University,Department of Economics.
    18. Peter Hördahl & Oreste Tristani, 2012. "Inflation Risk Premia In The Term Structure Of Interest Rates," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 634-657, May.
    19. Joseph Haubrich & George Pennacchi & Peter Ritchken, 2012. "Inflation Expectations, Real Rates, and Risk Premia: Evidence from Inflation Swaps," The Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1588-1629.
    20. Jin-Long Liu & Chia-Hui Huang & Chih-Hai Yang, 2013. "Technological Change, Job Risk, and Wage Premium: Evidence from Taiwan," The Developing Economies, Institute of Developing Economies, vol. 51(2), pages 186-202, June.
    21. Geert Bekaert & Xiaozheng Wang, 2010. "Inflation risk and the inflation risk premium [Do macro variables, asset markets or surveys forecast inflation better?]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 25(64), pages 755-806.
    22. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    23. Kohlscheen, Emanuel, 2012. "Uma nota sobre erros de previsão da inflação de curto-prazo," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 66(3), October.
    24. Matthias Fleckenstein & Francis A. Longstaff & Hanno Lustig, 2014. "The TIPS-Treasury Bond Puzzle," Journal of Finance, American Finance Association, vol. 69(5), pages 2151-2197, October.
    25. Fabia A. de Carvalho & André Minella, 2009. "Market Forecasts in Brazil: performance and determinants," Working Papers Series 185, Central Bank of Brazil, Research Department.
    26. Fama, Eugene F & Bliss, Robert R, 1987. "The Information in Long-Maturity Forward Rates," American Economic Review, American Economic Association, vol. 77(4), pages 680-692, September.
    27. Dai, Qiang & Singleton, Kenneth J., 2002. "Expectation puzzles, time-varying risk premia, and affine models of the term structure," Journal of Financial Economics, Elsevier, vol. 63(3), pages 415-441, March.
    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. José Valentim Machado Vicente, 2021. "A Non-Knotty Inflation Risk Premium Model," Working Papers Series 543, Central Bank of Brazil, Research Department.
    2. Duffee, Gregory, 2013. "Forecasting Interest Rates," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 385-426, Elsevier.
    3. Argyropoulos, Efthymios & Tzavalis, Elias, 2021. "The influence of real interest rates and risk premium effects on the ability of the nominal term structure to forecast inflation," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 785-796.
    4. Peter Feldhütter & Christian Heyerdahl-Larsen & Philipp Illeditsch, 2018. "Risk Premia and Volatilities in a Nonlinear Term Structure Model [Quadratic term structure models: theory and evidence]," Review of Finance, European Finance Association, vol. 22(1), pages 337-380.
    5. Berardi, Andrea & Plazzi, Alberto, 2022. "Dissecting the yield curve: The international evidence," Journal of Banking & Finance, Elsevier, vol. 134(C).
    6. Leite, André Luís & Filho, Romeu Braz Pereira Gomes & Vicente, José Valentim Machado, 2010. "Forecasting the yield curve: A statistical model with market survey data," International Review of Financial Analysis, Elsevier, vol. 19(2), pages 108-112, March.
    7. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2010. "Inflation Expectations and Risk Premiums in an Arbitrage‐Free Model of Nominal and Real Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 143-178, September.
    8. Hordahl, Peter & Tristani, Oreste & Vestin, David, 2006. "A joint econometric model of macroeconomic and term-structure dynamics," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 405-444.
    9. Breach, Tomas & D’Amico, Stefania & Orphanides, Athanasios, 2020. "The term structure and inflation uncertainty," Journal of Financial Economics, Elsevier, vol. 138(2), pages 388-414.
    10. Doshi, Hitesh & Jacobs, Kris & Liu, Rui, 2018. "Macroeconomic determinants of the term structure: Long-run and short-run dynamics," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 99-122.
    11. Grishchenko, Olesya V. & Vanden, Joel M. & Zhang, Jianing, 2016. "The informational content of the embedded deflation option in TIPS," Journal of Banking & Finance, Elsevier, vol. 65(C), pages 1-26.
    12. Andrea Berardi, 2013. "Inflation Risk Premia, Yield Volatility and Macro Factors," Working Papers 27/2013, University of Verona, Department of Economics.
    13. Christensen, Bent Jesper & van der Wel, Michel, 2019. "An asset pricing approach to testing general term structure models," Journal of Financial Economics, Elsevier, vol. 134(1), pages 165-191.
    14. Matsumura, Marco & Moreira, Ajax & Vicente, José, 2011. "Forecasting the yield curve with linear factor models," International Review of Financial Analysis, Elsevier, vol. 20(5), pages 237-243.
    15. Zhang, Han & Guo, Bin & Liu, Lanbiao, 2022. "The time-varying bond risk premia in China," Journal of Empirical Finance, Elsevier, vol. 65(C), pages 51-76.
    16. Malik, Sheheryar & Meldrum, Andrew, 2016. "Evaluating the robustness of UK term structure decompositions using linear regression methods," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 85-102.
    17. Guo, Bin & Huang, Fuzhe & Li, Kai, 2022. "Time to build and bond risk premia," Journal of Economic Dynamics and Control, Elsevier, vol. 136(C).
    18. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    19. Caio Almeida & Kym Ardison & Daniela Kubudi & Axel Simonsen & José Vicente, 2018. "Forecasting Bond Yields with Segmented Term Structure Models," Journal of Financial Econometrics, Oxford University Press, vol. 16(1), pages 1-33.
    20. Argyropoulos Efthymios & Tzavalis Elias, 2015. "Term spread regressions of the rational expectations hypothesis of the term structure allowing for risk premium effects," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(1), pages 49-70, February.

    More about this item

    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:bcb:wpaper:452. 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: Rodrigo Barbone Gonzalez (email available below). General contact details of provider: https://www.bcb.gov.br/en .

    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.