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Does Curvature Enhance Forecasting?

Author

Listed:
  • CAIO ALMEIDA

    (Graduate School of Economics, Getulio Vargas Foundation, Brazil)

  • ROMEU GOMES

    (Central Bank of Brazil, Brazil)

  • ANDRÉ LEITE

    (Central Bank of Brazil, Brazil)

  • AXEL SIMONSEN

    (Graduate School of Economics, Getulio Vargas Foundation, Brazil)

  • JOSÉ VICENTE

    (Central Bank of Brazil and Faculdades, Ibmec-RJ, Brazil)

Abstract

In this paper, we analyze the importance of curvature term structure movements on forecasts of interest rates. An extension of the exponential three-factor Diebold and Li (2006) model is proposed, where a fourth factor captures a second type of curvature. The new factor increases model ability to generate volatility and to capture nonlinearities in the yield curve, leading to a significant improvement of forecasting ability. The model is tested against the original Diebold and Li model and some other benchmarks. Based on a forecasting experiment with Brazilian fixed income data, it obtains significantly lower bias and root mean square errors for most examined maturities, and under three different forecasting horizons. Robustness tests based on two sub-sample analyses partially confirm the favorable results.

Suggested Citation

  • Caio Almeida & Romeu Gomes & André Leite & Axel Simonsen & José Vicente, 2009. "Does Curvature Enhance Forecasting?," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(08), pages 1171-1196.
    • Handle: RePEc:wsi:ijtafx:v:12:y:2009:i:08:n:s0219024909005622
    DOI: 10.1142/S0219024909005622
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    References listed on IDEAS

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    1. Svensson, L.E.O., 1993. "Monetary Policy with Flexible Exchange Rates and Foreward Interest Rates as Indicators," Papers 559, Stockholm - International Economic Studies.
    2. Huse, Cristian, 2011. "Term structure modelling with observable state variables," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3240-3252.
    3. Kargin, V. & Onatski, A., 2008. "Curve forecasting by functional autoregression," Journal of Multivariate Analysis, Elsevier, vol. 99(10), pages 2508-2526, November.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Mr. Rodrigo Cabral & Mr. Richard Munclinger & Mr. Luiz Alves & Mr. Marco Rodriguez Waldo, 2011. "On Brazil’s Term Structure: Stylized Facts and Analysis of Macroeconomic Interactions," IMF Working Papers 2011/113, International Monetary Fund.
    4. Marco Shinobu Matsumura & Ajax Reynaldo Bello Moreira & José Valentim Machado Vicente, 2010. "Forecasting the Yield Curve with Linear Factor Models," Working Papers Series 223, Central Bank of Brazil, Research Department.
    5. Flávio de Freitas Val & Claudio Henrique da Silveira Barbedo & Marcelo Verdini Maia, 2011. "Inflation expectation and implicit inflation: does market research provide accurate measures?," Brazilian Business Review, Fucape Business School, vol. 8(3), pages 83-100, July.
    6. Caldeira, João F. & Laurini, Márcio P. & Portugal, Marcelo S., 2010. "Bayesian Inference Applied to Dynamic Nelson-Siegel Model with Stochastic Volatility," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 30(1), October.
    7. 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.
    8. Joao Frois Caldeira & Guilherme Valle Moura & Marcelo Savino Portugal, 2011. "Efficient Interest Ratecurve Estimation And Forecasting In Brazil," Anais do XXXVII Encontro Nacional de Economia [Proceedings of the 37th Brazilian Economics Meeting] 133, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    9. Almeida, Caio & Lund, Bruno, 2014. "Immunization of Fixed-Income Portfolios Using an Exponential Parametric Model," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 34(2), November.
    10. Almeida, Caio & Gomes, Romeu & Leite, André & Vicente, José, 2008. "Movimentos da Estrutura a Termo e Critérios de Minimização do Erro de Previsão em um Modelo Paramétrico Exponencial," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 62(4), December.
    11. 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.

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