This article is a critical survey of models designed for pricing fixed-income securities and their associated term structures of market yields. Our primary focus is on the interplay between the theoretical specification of dynamic term structure models and their empirical fit to historical changes in the shapes of yield curves. We begin by overviewing the dynamic term structure models that have been fit to treasury or swap yield curves and in which the risk factors follow diffusions, jump-diffusion, or have "switching regimes." Then the goodness-of-fit of these models is assessed relative to their abilities to (i) match linear projections of changes in yields onto the slope of the yield curve; (ii) match the persistence of conditional volatilities, and the shapes of term structures of unconditional volatilities, of yields; and (iii) to reliably price caps, swaptions, and other fixed-income derivatives. For the case of defaultable securities we explore the relative fits to historical yield spreads.

[This article presents convenient reduced-form models of the valuation of contingent claims subject to default risk, focusing on applications to the term structure of interest rates for corporate or sovereign bonds. Examples include the valuation of a credit-spread option.]

This article develops a multi-factor econometric model of the term structure of interest-rate swap yields. The model accommodates the possibility of counterparty default, and any differences in the liquidities of the Treasury and Swap markets. By parameterizing a model of swap rates directly, the authors are able to compute model-based estimates of the defaultable zero-coupon bond rates implicit in the swap market without having to specify a priori the dependence of these rates on default hazard or recovery rates. The time series analysis of spreads between zero-coupon swap and treasury yields reveals that both credit and liquidity factors were important sources of variation in swap spreads over the past decade.

The term structure relations implied by a model in which preferences are non-separable functions of the service flows from two goods are investigated. The parameters characterizing preferences are estimated and restrictions on the co-movements of consumptions and Treasury bill returns are examined. Both the durability of goods and the non-separability of preferences are important factors in explaining the time paths of individual returns, but there is substantial evidence against the cross-sectional restrictions implied by our model. Differences between sample mean returns are too large relative to the sample covariances of the return differences and the marginal utility of consumption.

Kenneth B. Dunn, Kenneth J. Singleton, An Empirical Analysis of the Pricing of Mortgage-Backed Securities, The Journal of Finance, Vol. 38, No. 2, Papers and Proceedings Forty-First Annual Meeting American Finance Association New York, N.Y. December 28-30, 1982 (May, 1983), pp. 613-623

This paper studies the time-series behavior of asset returns and aggregate consumption. Using a representative consumer model and imposing restrictions on preferences and the joint distribution of consumption and returns, we deduce a restricted log-linear time-series representation. Preference parameters for the representative agent are estimated and the implied restrictions are tested using postwar data.

ABSTRACT Tests are conducted for the presence of unit roots in the autoregressive representations of the logarithms of spot and forward exchange rates. The results from these tests provide one explanation for some of the conflicting conclusions which emerge from recent empirical papers on the foreign exchange market.

Edgar L. Feige, Kenneth J. Singleton, Multinational Inflation under Fixed Exchange Rates: Some Empirical Evidence from Latent Variable Models, The Review of Economics and Statistics, Vol. 63, No. 1 (Feb., 1981), pp. 11-19

[In any canonical Gaussian dynamic term structure model (GDTSM), the conditional forecasts of the pricing factors are invariant to the imposition of no-arbitrage restrictions. This invariance is maintained even in the presence of a variety of restrictions on the factor structure of bond yields. To establish these results, we develop a novel canonical GDTSM in which the pricing factors are observable portfolios of yields. For our normalization, standard maximum likelihood algorithms converge to the global optimum almost instantaneously. We present empirical estimates and out-of-sample forecasts for several GDTSMs using data on U.S. Treasury bond yields.]