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A hybrid spline-based parametric model for the yield curve

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  • Faria, Adriano
  • Almeida, Caio

Abstract

Empirical evidence indicates that both nominal and real yield curves in important markets have segmentation between their short end and their longer-maturity segments. This segmentation might affect term structure estimation, introducing distortions in longer-maturity yields, especially in parametric models. In order to deal with such segmentation, we propose a new model that combines the flexibility of spline functions with the parsimoniousness of a parametric four-factor exponential model. The short end of the yield curve is fitted using a B-spline function, while longer segments are captured by the parametric model. We illustrate the benefits of the proposed model for pricing and risk management purposes, using two examples: the real yield curve in the Brazilian government index-linked bond market, and the US Treasury nominal yield curve. We show that, in both markets, our model is simultaneously able to fit the yield curve well and to provide unbiased Value at Risk estimates for all tested portfolios of bonds, outperforming an important parametric benchmark model frequently adopted by central banks.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:dyncon:v:86:y:2018:i:c:p:72-94
    DOI: 10.1016/j.jedc.2017.10.009
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    1. Zhang Chen & Ibrahim Sakouba, 2021. "Impact of the number of bonds on bond portfolio exposure to interest rate risk," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(3), pages 4777-4797, July.
    2. Martin M. Andreasen & Jens H. E. Christensen & Glenn D. Rudebusch, 2017. "Term Structure Analysis with Big Data," Working Paper Series 2017-21, Federal Reserve Bank of San Francisco.
    3. Andreasen, Martin M. & Christensen, Jens H.E. & Rudebusch, Glenn D., 2019. "Term Structure Analysis with Big Data: One-Step Estimation Using Bond Prices," Journal of Econometrics, Elsevier, vol. 212(1), pages 26-46.
    4. Sabit Khakimzhanov & Yerulan Mustafin & Olzhas Kubenbayev & Dulat Atabek, 2019. "Constructing a Yield Curve in a Market with Low Liquidity," Russian Journal of Money and Finance, Bank of Russia, vol. 78(4), pages 71-98, December.

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    More about this item

    Keywords

    Spline models; Exponential term structure models; Curve fitting; Risk management; Price index;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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