August 2026

United States of U-Star

Hie Joo Ahn and Jeremy Rudd

Abstract:

This paper estimates state-level trend unemployment rates (trend U-star) based on the trend components of unemployment inflows and outflows across unemployment durations. The estimated trend U-stars, particularly the portions attributable to long-termunemployment, have levels and dynamics that vary substantially across states. Long-termunemployment makes a relatively small contribution to trend U-star in agricultural states, but takes a larger share for Rust Belt states and several states in the Sun Belt. While higher educational attainment and population aging put downward pressure on U-star, the effects of industrial structure and labor-market rigidities are mixed. Using the estimates of state-level trend U-star, we revisit previous work on state-level Phillips curves and find that the estimated slopes of forward-looking inflation equations are driven bymovements in trend U-star rather than by cyclical variation in the unemployment rate.

Keywords: Trend unemployment rate, natural rate of unemployment, unemployment duration, duration dependence, trend-cycle decomposition, nonlinear state space model, extended Kalman filter, Nelson–Siegel model, new-Keynesian Phillips curve

DOI: https://doi.org/10.17016/FEDS.2026.060

PDF: Full Paper

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Last Update: August 31, 2026