We estimate a Bayesian vector autoregression for the U.K. with drifting coefficients and stochastic volatilities. We use it to characterize posterior densities for several objects that are useful for designing and evaluating monetary policy, including local approximations to the mean,...

This paper extends the work of Hansen and Jagannathan (1997) by showing how to decompose approximation errors in stochastic discount factor models by frequency. This decomposition is applied to a number of prominent consumption-based discount factor models top investigate how well they fit at...

This article extends the work of Hansen and Jagannathan by showing how to decompose approximation errors in stochastic discount factor models by frequency. This decomposition is applied to a number of consumption-based discount factor models in order to investigate how well they fit at low...

We study a Markov decision problem with unknown transition probabilities. We compute the exact Bayesian decision rule and compare it with two approximations. The first is an infinite-history, rational-expectations approximation that assumes that the decision maker knows the transition...

This paper explores various strategies for estimating rational expectations models when the trend specification is uncertain. One approach modified the likelihood function in order to reduce the influence of low-frequency dynamics. Hansen and Sargent (1993) conjectured that this would have...

We study an economy in which two types of agents have diverse beliefs about the law of motion for an exogenous endowment. One type knows the true law of motion, and the other learns about it via Bayes's theorem. Financial markets are incomplete, the only traded asset being a risk-free bond....

We model transitional dynamics that emerge after the adoption of a new monetary-policy rule. We assume that private agents learn about the new policy via Bayesian updating, and we study how learning affects the nature of the transition and choice of a new rule. The model endogenously generates...

Was UK inflation more stable and/or less uncertain before 1914 or after 1945? We address these questions by estimating a statistical model with changing volatilities in transient and persistent components of inflation. Three conclusions emerge. First, since periods of high and low volatility...