We test whether the Nelson and Siegel (1987) yield curve model is arbitrage-free in a statistical sense. Theoretically, the Nelson-Siegel model does not ensure the absence of arbitrage opportunities, as shown by Bjork and Christensen (1999). Still, central banks and public wealth managers rely...

This paper proposes a generalized arbitrage-free macro finance term structure model with both Nelson-Siegel latent yield factors and observable macro factors. Two subclasses are derived: spanned and unspanned models. In the spanned model, the yields are determined by both the Nelson-Siegel yield...

We derive the class of arbitrage-free affine dynamic term structure models that approximate the widely-used Nelson-Siegel yield-curve specification. Our theoretical analysis relates this new class of models to the canonical representation of the three-factor arbitrage-free affine model. Our...

This study outlines an affine term structure model (ATSM) of TIPS that decomposes yields into real expected rates, real term premiums, and liquidity premiums. The estimation incorporates an observable liquidity factor that more comprehensively captures limits to arbitrage implied by yield curve...