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Time-Consistent No-Arbitrage Models of the Term Structure


  • Michael W. Brandt
  • Amir Yaron


We present an econometric procedure for calibrating no-arbitrage term structure models in a way that is time-consistent and robust to measurement errors. Typical no-arbitrage models are time-inconsistent because their parameters are assumed constant for pricing purposes despite the fact that the parameters change whenever the model is recalibrated. No-arbitrage models are also sensitive to measurement errors because they fit exactly each potentially contaminated bond price in the cross-section. We overcome both problems by evaluating bond prices using the joint dynamics of the factors and calibrated parameters and by locally averaging out the measurement errors. Our empirical application illustrates the trade-off between fitting as well as possible and overfitting the cross-section of bond prices due to measurement errors. After optimizing this trade-off, our approach fits almost exactly the cross-section of bond prices at each date and produces out-of-sample forecast errors that beat a random walk benchmark and are comparable to the results in the affine term structure literature. We find that non-linearities in the pricing kernel are important, lending support to quadratic term structure models.

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  • Michael W. Brandt & Amir Yaron, 2003. "Time-Consistent No-Arbitrage Models of the Term Structure," NBER Working Papers 9458, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:9458
    Note: AP

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    Cited by:

    1. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(02), pages 271-295, June.
    2. João F. Gomes & Amir Yaron & Lu Zhang, 2006. "Asset Pricing Implications of Firms' Financing Constraints," Review of Financial Studies, Society for Financial Studies, vol. 19(4), pages 1321-1356.
    3. Hans Dewachter, 2008. "Imperfect information, macroeconomic dynamics and the yield curve : an encompassing macro-finance model," Working Paper Research 144, National Bank of Belgium.
    4. 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.
    5. Giorgio Brunello, 2004. "Stratified or Comprehensive? Some Economic Considerations on the design of secondary education," ifo DICE Report, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 2(4), pages 07-10, 06.
    6. Jorge Miguel Ventura Bravo & Carlos Manuel Pereira da Silva, 2005. "Immunization Using a Parametric Model of the Term Structure," Economics Working Papers 19_2005, University of Évora, Department of Economics (Portugal).
    7. Tatyana Krivobokova & Göran Kauermann & Theofanis Archontakis, 2006. "Estimating the term structure of interest rates using penalized splines," Statistical Papers, Springer, vol. 47(3), pages 443-459, June.
    8. Enlin Pan & Liuren Wu, 2004. "Taking Positive Interest Rates Seriously," Finance 0409013, EconWPA.

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    • G0 - Financial Economics - - General

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