Unobserved components time series models decompose a time series into a trend, a season, a cycle, an irregular disturbance, and possibly other components. These models have been successfully applied to many economic time series. The standard assumption of a linear model, often appropriate after...

Robert Barsky and Jeffrey Miron (1989) revealed the seasonal cycle of the U.S. economy from 1948 to 1985 was characterized by a "bubble-like" expansion in the second and fourth quarters, a "crash-like" contraction in the first quarter, and a mild contraction in the third quarter. We replicate,...

In this paper I develop Cyclic Value Function Iteration (CVFI), which is an adjustment to standard value function iteration. When using this algorithm, the inclusion of cyclic variables of any size into the state space of an infinite horizon dynamic structural model does not increase the...

This paper discusses identification, specification, estimation and forecasting for a general class of periodic unobserved components time series models with stochastic trend, seasonal and cycle components. Convenient state space formulations are introduced for exact maximum likelihood...

Almost all recent research on macroeconomic fluctuations has worked with seasonally adjusted or annual data. This paper takes a different approach by treating seasonal fluctuations as worthy of study in their own right. We document the quantitative importance of seasonal fluctuations, and we...