Adam Check

University of St. Thomas


Research Interests:

Applied Bayesian Econometrics


Monetary Policy

Working Papers

  • Structural Breaks in U.S. Macroeconomic Time Series: A Bayesian Model Averaging Approach
    • Revise and Resubmit at the Journal of Money, Credit, and Banking
    • We investigate the evidence for structural breaks in the parameters of autoregressive models of U.S. post-war macroeconomic time series. There is substantial model uncertainty associated with such models, including uncertainty related to lag selection, the number of structural changes, and the specific parameters that change at each break date. We develop a feasible approach to Bayesian Model Averaging (BMA), where the model space encompasses each of these sources of uncertainty. This BMA procedure performs very well in Monte Carlo simulations calibrated to match relevant macroeconomic time series. We then apply the BMA approach to a cross-section of U.S. macroeconomic variables measuring inflation, production growth, and labor market conditions, finding substantial evidence for structural breaks in all of these series. For most series there are multiple structural breaks detected. We find pervasive evidence for at least one, and often multiple, breaks in conditional variance parameters, and for price inflation series we find strong evidence of changes in persistence. We find little evidence for changes in trend growth rates of production series, or in the natural rate of unemployment. For most series there is substantial uncertainty along one or more dimension of model specification, calling into question the common practice of basing inference on a single selected structural break model.
  • Forecasting GDP Growth using Disaggregated GDP Revisions
    • Revise and Resubmit at Economics Bulletin
    • This paper investigates the informational content of regular revisions to real GDP growth and its components. We perform a real-time forecasting exercise for the advance estimate of real GDP growth using dynamic regression models that include revisions to GDP and its components. Echoing other work in the literature, we find little evidence that including aggregate GDP growth revisions improves forecast accuracy relative to an AR(1) baseline model; however, models that include revisions to components of GDP improve forecast accuracy. The first revision to consumption is particularly relevant in that every model that includes the revision outperforms the baseline model. Measured by root mean squared forecasting error (RMSFE), improvements are quite sizable, with many models increasing forecasting performance by 5% or more, and with top-performing models forecasting 0.24 percentage points closer to the advance estimate of growth. We use Bayesian model averaging to underscore that our results are driven by the informational content of revisions. The posterior probability of models with the first revision to consumption is significantly higher than our baseline model, despite strong priors that the latter should be the preferred forecasting model.
  • Interest Rate Rules in Practice - the Taylor Rule or a Tailor-Made Rule?
    • This paper investigates the nature of the Federal Open Market Committee's (FOMC's) interest rate rule, with a focus on which variables have been relevant to the FOMC over the past 40 years. I consider a large number of potential variables, including alternate measures of inflation, aggregate real activity, and sectoral variables. Based on inclusion probabilities derived from Bayesian Model Averaging (BMA) over a sample from 1970-2007, I find that the FOMC responds to changes in unemployment rather than to changes in GDP growth. Additionally, I find that the FOMC reacts not only to inflation and aggregate output, but also to measures of sectoral activity, such as changes in commodity prices. Finally, I find that using BMA improves out-of-sample forecasting performance over baseline Taylor-type interest rate rules.
    • Technical Appendix
  • Estimating the FOMC's Interest Rate Rule: A Markov-Switching Stochastic Search Variable Selection Approach
    • In many recent empirical studies of the Federal Open Market Committee’s (FOMC’s) interest rate rule, the parameters of the rule are allowed to change over time. However, within this literature, there is no consensus about the nature of the parameter change. Some authors, such as Sims and Zha (2006) only find evidence for a change in the variance of the interest rate rule, while others such as Gonzalez-Astudillo (2018) find evidence for changes in inflation and output gap responses. In this paper, I develop a new two-regime Markov-switching model that probabilistically performs variable selection and identification of parameter change for each variable in the model. After performing Bayesian estimation of this model and allowing for stochastic volatility, I find substantial evidence that there have been changes in the FOMC’s response to the unemployment gap and in the volatility of the rule, but a low probability that there have been changes in the response to the inflation gap or any of the other parameters.

Works in Progress

  • Break or No Break? Identifying Structural Breaks using Classical, Bayesian, and Machine Learning Approaches (with Yamin Ahmad and Ming Chien Lo)
  • What Predicts Informality? A Bayesian Model Averaging Approach (with Tyler Schipper)
  • BMA using Cross Validation in Time Series Models