TY - JOUR AU - Christensen,Jens H. E. AU - Diebold,Francis X. AU - Rudebusch,Glenn D. TI - The Affine Arbitrage-Free Class of: Nelson-Siegel Term Structure Models JF - National Bureau of Economic Research Working Paper Series VL - No. 13611 PY - 2007 Y2 - November 2007 UR - http://www.nber.org/papers/w13611 L1 - http://www.nber.org/papers/w13611.pdf N1 - Author contact info: Jens Christensen Federal Reserve Bank of San Francisco Economic Research, MS 1130 101 Market Street San Francisco, CA 94105-9967 E-Mail: jens.christensen@sf.frb.org Francis X. Diebold Department of Economics University of Pennsylvania 3718 Locust Walk Philadelphia, PA 19104-6297 Tel: 215/898-1507 Fax: 212/573-4217 E-Mail: fdiebold@sas.upenn.edu Glenn Rudebusch Federal Reserve Bank of San Francisco Economic Research, MS 1130 101 Market Street San Francisco, CA 94105-9967 Tel: 415-974-3173 E-Mail: glenn.rudebusch@sf.frb.org AB - 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 empirical analysis shows that imposing the Nelson-Siegel structure on this canonical representation greatly improves its empirical tractability; furthermore, we find that improvements in predictive performance are achieved from the imposition of absence of arbitrage. ER -