Time-Consistent No-Arbitrage Models of the Term Structure

Michael W. Brandt and Amir Yaron

No 9458, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: 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.

JEL-codes: G0 (search for similar items in EconPapers)
Date: 2003-01
New Economics Papers: this item is included in nep-fmk and nep-rmg
Note: AP
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Citations: View citations in EconPapers (9)

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