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Movimentos da Estrutura a Termo e Critérios de Minimização do Erro de Previsão em um Modelo Paramétrico Exponencial

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  • Caio Almeida
  • Romeu Gomes
  • André Leite
  • José Vicente

Abstract

In this paper, we study how different choices of loadings affect forecasting in the exponential term structure model proposed by Diebold and Li (2006). The loadings are defined through a specific parameter lambda which controls both the decaying speed of the slope as well as the maximum of the curvature factors. In particular, adopting a database including Brazilian fixed income future contracts (ID future), we analyze four different rules of choices depending on metrics that minimize forecasting errors, for different forecasting horizons. We conclude that the optimal rule changes for different regions of ID future maturities/different forecasting horizons, indicating that the choice of how movements will be parameterized in this exponential model should be done with care, tailored for each particular application of the model.

Suggested Citation

  • Caio Almeida & Romeu Gomes & André Leite & José Vicente, 2007. "Movimentos da Estrutura a Termo e Critérios de Minimização do Erro de Previsão em um Modelo Paramétrico Exponencial," Working Papers Series 146, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:146
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    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. 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.
    3. Svensson, L.E.O., 1993. "Monetary Policy with Flexible Exchange Rates and Foreward Interest Rates as Indicators," Papers 559, Stockholm - International Economic Studies.
    4. Vicente, José & Tabak, Benjamin M., 2008. "Forecasting bond yields in the Brazilian fixed income market," International Journal of Forecasting, Elsevier, vol. 24(3), pages 490-497.
    5. Laurini, Márcio P. & Hotta, Luiz K., 2007. "Extensões Bayesianas do Modelo de Estrutura a Termo de Diebold-Li," Insper Working Papers wpe_88, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    6. 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.
    7. 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.
    8. 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.
    9. Eduardo J. A. Lima & Felipe Luduvice & Benjamin M. Tabak, 2006. "Forecasting Interest Rates: an application for Brazil," Working Papers Series 120, Central Bank of Brazil, Research Department.
    10. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    11. Huse, Cristian, 2011. "Term structure modelling with observable state variables," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3240-3252.
    12. Emmanuel Sharef & Damir Filipović, 2004. "Conditions For Consistent Exponential-Polynomial Forward Rate Processes With Multiple Nontrivial Factors," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(06), pages 685-700.
    13. Michiel De Pooter, 2007. "Examining the Nelson-Siegel Class of Term Structure Models," Tinbergen Institute Discussion Papers 07-043/4, Tinbergen Institute.
    14. Caio Ibsen Rodrigues De Almeida & Antonio Marcos Duarte & Cristiano Augusto Coelho Fernandes, 2003. "A Generalization Of Principal Component Analysis For Non-Observable Term Structures In Emerging Markets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(08), pages 885-903.
    15. Varga, Gyorgy, 2009. "Teste de Modelos Estatísticos para a Estrutura a Termo no Brasil [Test of Term Structure Models for Brazil]," MPRA Paper 20832, University Library of Munich, Germany.
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    Cited by:

    1. 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].
    2. J. C. Arismendi-Zambrano & T. Ramos-Almeida & J. C. Reboredo & M. A. Rivera-Castro, 2020. "Identifying Statistical Arbitrage in Interest Rate Markets: A Genetic Algorithm Approach," Economics Department Working Paper Series n305-20.pdf, Department of Economics, National University of Ireland - Maynooth.
    3. Varga, Gyorgy, 2009. "Teste de Modelos Estatísticos para a Estrutura a Termo no Brasil [Test of Term Structure Models for Brazil]," MPRA Paper 20832, University Library of Munich, Germany.
    4. Varga, Gyorgy, 2009. "Teste de Modelos Estatísticos para a Estrutura a Termo no Brasil," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 63(4), December.

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