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Journal Article
No relief in sight for the U.S. economy
For at least the next two years, the U.S. economy will grow more slowly than it has on average since World War II. This is the forecast of a Bayesian vector autoregression model developed and used by researchers at the Minneapolis Federal Reserve Bank. The model's previous forecast?of a very weak start to the 1991?92 recovery?was remarkably accurate. Both forecasts are supported by evidence on long-term problems among consumers, in the commercial real estate industry, and at all levels of government. These problems will most likely constrain economic growth for years, although short spurts of ...
Report
On the relation between the expected value and the volatility of the nominal excess return on stocks
We find support for a negative relation between conditional expected monthly return and conditional variance of monthly return, using a GARCH-M model modified by allowing (i) seasonal patterns in volatility, (ii) positive and negative innovations to returns having different impacts on conditional volatility, and (iii) nominal interest rates to predict conditional variance. Using the modified GARCH-M model, we also show that monthly conditional volatility may not be as persistent as was thought. Positive unanticipated returns appear to result in a downward revision of the conditional ...
Journal Article
Revisionist history: how data revisions distort economic policy research
This article describes how and why official U.S. estimates of the growth in real economic output and inflation are revised over time, demonstrates how big those revisions tend to be, and evaluates whether the revisions matter for researchers trying to understand the economy?s performance and the contemporaneous reactions of policymakers. The conclusion may seem obvious, but it is a point ignored by most researchers: To have a good chance of understanding how policymakers make their decisions, researchers must use not the final data available, but the data available initially, when the policy ...
Report
Vector autoregressions and reality
The statistical significance of variance decompositions and impulse response functions for unrestricted vector autoregressions is questionable. Most previous studies are suspect because they have not provided confidence intervals for variance decompositions and impulse response functions. Here two methods of computing such intervals are developed, one using a normal approximation, the other using bootstrapped resampling. An example from Sims? work illustrates the importance of computing these confidence intervals. In the example, the 95 percent confidence intervals for variance decompositions ...
Journal Article
Why no crunch from the crash?
Journal Article
The U.S. economy in 1989 and 1990: walking a fine line
Journal Article
Bad news from a forecasting model of the U.S. economy
This paper describes and analyzes the 1990-92 economic forecasts of a Bayesian vector autoregression model developed by researchers at the Minneapolis Fed. The model's 1990 forecast was pretty bad - too optimistic about both inflation and economic growth, especially growth in consumption and housing. An analysis of the model's errors, however, turns up no reason to think the model is unsound. Based on data available on November 30, 1990, the model predicts weak economic conditions for the next two years: a likely recession in 1991 and moderate inflation and weak overall growth in 1991-92. The ...
Report
Statistical inference in the multinomial multiperiod probit model
Statistical inference in multinomial multiperiod probit models has been hindered in the past by the high dimensional numerical integrations necessary to form the likelihood functions, posterior distributions, or moment conditions in these models. We describe three alternative approaches to inference that circumvent the integration problem: Bayesian inference using Gibbs sampling and data augmentation to compute posterior moments, simulated maximum likelihood (SML) estimation using the GHK recursive probability simulator, and method of simulated moment (MSM) estimation using the GHK simulator. ...
Journal Article
Learning to be unpredictable : an experimental study.
This study tests experimentally whether the ability of subjects to play a noncooperative game's mixed-strategy equilibrium (to make their play unpredictable) is affected by how much information subjects have about the structure of the game. Subjects played the mixed-strategy equilibrium when they had all the information about other players' payoffs and actions, but not otherwise. Previous research has shown that players of a game can play a mixed-strategy equilibrium if they observe the actions of all players and use sophisticated Bayesian learning to infer the likely payoffs to other ...
Report
An experimental study of learning and limited information in games
We report on experiments that tested the predictions of competing theories of learning in games. Experimental subjects played a version of the three-person matching-pennies game. The unique mixed-strategy Nash equilibrium of this game is locally unstable under naive Bayesian learning. Sophisticated Bayesian learning predicts that expectations will converge to Nash equilibrium if players observe the entire history of play. Neither theory requires payoffs to be common knowledge. We develop maximum-likelihood tests for the independence conditions implied by the mixed-strategy Nash equilibrium. ...