Measuring Uncertainty About Long-Run Prediction

Working Paper: NBER ID: w18870

Authors: Ulrich Mueller; Mark W. Watson

Abstract: Long-run forecasts of economic variables play an important role in policy, planning, and portfolio decisions. We consider long-horizon forecasts of average growth of a scalar variable, assuming that first differences are second-order stationary. The main contribution is the construction of predictive sets with asymptotic coverage over a wide range of data generating processes, allowing for stochastically trending mean growth, slow mean reversion and other types of long-run dependencies. We illustrate the method by computing predictive sets for 10 to 75 year average growth rates of U.S. real per-capita GDP, consumption, productivity, price level, stock prices and population.

Keywords: uncertainty; long-run forecasts; economic variables; predictive sets

JEL Codes: C22; C53; E17


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Uncertainty about the long-run average growth of economic variables (D89)Predictive sets that maintain a prespecified probability of containing the true average growth rate (C51)
Predictive sets constructed using Bayesian and frequentist methods (C11)Effectively capture the uncertainty surrounding long-run predictions (D84)
Incorporating uncertainty about the parameters that characterize the stochastic process (C51)Accurate long-run forecasting (C53)
Frequency characteristics of the underlying processes (C22)Predictive uncertainty (D80)
Local-to-zero spectrum (C46)Predictive uncertainty (D80)
Approach that accounts for parameter uncertainty (C51)More reliable long-run predictions (C53)
Traditional methods that do not account for parameter uncertainty (C51)Less reliable long-run predictions (C59)

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