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Testing for time variation in an unobserved components model for the U.S. economy

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  • Tino Berger
  • Gerdie Everaert
  • Hauke Vierke

Abstract

This paper analyzes the amount of time variation in the parameters of a reduced-form empirical macroeconomic model for the U.S. economy. We set up an unobserved components model to decompose output, inflation and unemployment in their stochastic trend and business cycle gap components. The latter are related through the Phillips curve and Okun's Law. Key parameters such as the potential output growth rate, the slope of the Phillips curve and the strength of Okun's Law, are allowed to change over time in order to account for potential structural changes in the U.S. economy. Moreover, stochastic volatility is added to all components to account for shifts in macroeconomic volatility. A Bayesian stochastic model specification search is employed to test which parameters are time-varying and which unobserved components exhibit stochastic volatility. Using quarterly data from 1959Q2 to 2014Q3 we find substantial time variation in Okun's Law, while the Phillips curve slope appears to be stable. The potential output growth rate exhibits a drastic and persistent decline. Stochastic volatility is found to be important for cyclical shocks to the economy, while the volatility of permanent shocks remains stable.

Suggested Citation

  • Tino Berger & Gerdie Everaert & Hauke Vierke, 2015. "Testing for time variation in an unobserved components model for the U.S. economy," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 15/903, Ghent University, Faculty of Economics and Business Administration.
  • Handle: RePEc:rug:rugwps:15/903
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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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