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.

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.

Linear projections of returns on the slope of the yield curve have contradicted the implications of the traditional “expectations theory”. This paper shows that these findings are not puzzling relative to a large class of richer dynamic term structure models. Specifically, we match all the key empirical findings reported by Fama and Bliss ((1987) American Economic Review 77 (4), 680–692) and Campbell and Shiller ((1991) Review of Economic Studies 58, 495–514), among others, within large subclasses of affine and quadratic-Gaussian term structure models. Additionally, we show that certain “risk-premium adjusted” projections of changes in yields on the slope of the yield curve recover the coefficients of unity predicted by the models. Key to this matching are parameterizations of the market prices of risk that let the risk factors affect the market prices of risk directly, and not only through factor volatilities. The risk premiums have a simple form consistent with Fama's findings on the predictability of forward rates, and are also shown to be consistent with interest-rate feedback rules used by a monetary authority in setting monetary policy.

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 paper provides a simulated moments estimator (SME) of the parameters of dynamic models in which the state vector follows a time-homogeneous Markov process. Conditions are provided for both weak and strong consistency as well as asymptotic normality. Various tradeoff's among the regularity conditions underlying the large sample properties of the SME are discussed in the context of an asset pricing model.

ABSTRACT We study risk premiums in the U.S. Treasury bond market from the perspective of a Bayesian econometrician who learns in real time from disagreement among investors about future bond yields. Notably, disagreement has substantial predictive power for yields, and 's risk premiums are less volatile than those in the analogous model without learning. 's forecasts are substantially more accurate than the consensus forecasts of market professionals, particularly following U.S. recessions. The predictive power of disagreement is distinct from the (much weaker) one of inflation and output growth. Rather, it appears to reflect uncertainty about future fiscal policy.

[This paper describes a method for estimating and testing nonlinear rational expectations models directly from stochastic Euler equations. The estimation procedure makes sample counterparts to the population orthogonality conditions implied by the economic model close to zero. An attractive feature of this method is that the parameters of the dynamic objective functions of economic agents can be estimated without explicitly solving for the stochastic equilibrium.]

Equilibrium, affine asset pricing models with Larry G. Epstein and Stanley E. Zin (1989)’s preferences typically generate time variation in risk premiums through time variation in the quantity of risks, with the market prices of risks (MPR) held constant. This is true of models with built in long-run consumption risks (LRR) (e.g., Ravi Bansal and Amir Yaron (2004), Bansal, Dana Kiku, and Yaron (2009)), as well as of the broader formulations in Bjorn Eraker and Ivan Shaliastovich (2008). For pricing bonds such formulations may be overly constrained as reduced form models suggest that it is time variation in the MPRs, more than stochastic yield volatilities, that resolve the expectations puzzles in bond markets. Constant MPRs are not an inherent feature of equilibrium pricing models with recursive preferences, but rather they arise as a consequence of the linearizations underlying the affine approximations to these models that have been explored empirically. The essential ingredients of these econometric formulations are (P1) recursive (Epstein-Zin) preferences, (P2) risk neutral (핈), affine pricing, and (P3) the assumption that the state of the economy is described by an affine process under the historical (핇) distribution. Key to achieving property (P2), given P1 and P3, is the assumption that the valuation ratio (the log “price/consumption” ratio) associated with the claim that pays aggregate consumption is an affine function of the state. We develop a dynamic term structure model with recursive preferences that preserves