U.S. Economic Activity

Resource Utilization and Risk

How far is output from its potential — four ways of answering the same question.

The CBO gap comes from the Congressional Budget Office's own model of potential GDP. The other three come from two models built by economist Michael Kiley. The structural model gives two: the Beveridge‑Nelson gap, how far output sits from its long‑run trend, and the production‑function gap, how far output sits from what the economy's labor and capital could normally produce. The Unobserved Components (UC) model gives a simpler, complementary estimate — the same model that also produces the equilibrium real interest rate, r*.

BN and PF gaps based on M.T. Kiley (2013), “Output gaps,” Journal of Macroeconomics, 37, 1–18.

UC gap based on M.T. Kiley (2020), “What Can the Data Tell Us about the Equilibrium Real Interest Rate?,” International Journal of Central Banking, 16(3), 181–209.

As of —

Output gap estimates, 1984–present
Percent of potential output, quarterly — colored band is the UC gap's ±2 std dev range; grey bars are NBER recessions

The UC gap's shaded band reflects uncertainty in the estimate given the model's estimated parameters — it does not include uncertainty about the parameters themselves, so it understates the gap's true uncertainty. CBO and the structural model don't publish a comparable band for their estimates.

Recent path
Last 10 years — grey bars are NBER recessions
For informational purposes only. All downloads and calculations are the author’s own and may contain errors — don’t rely on this for decisions or conclusions. Verify independently with your own data and calculations before using it for any purpose. The analysis and views presented are the author’s own and do not reflect the views of any institution with which he is affiliated.
CBO Output Gap — 100×(real GDP / CBO real potential GDP − 1); CBO's own percent-of-potential convention.
Structural model — the EDO model (Chung, Kiley & Laforte).
Structural BN Gap — the model's Beveridge‑Nelson decomposition: deviation of output from its long-run stochastic trend.
Structural PF Gap — the model's production-function decomposition: deviation of output from the level consistent with current technology and normal utilization of capital and labor.
Structural-model estimates use the current-analysis treatment: every one of the model's 13 observables is HP-detrended (λ=128000) and re-anchored to the model's own steady-state constants before being Kalman-smoothed, rather than compared to a fixed trend estimated only through 2011:Q4. A paper-exact replication (no detrending) is also maintained; see the output_gap project.
UC Gap — the output gap from a compact Unobserved Components model of GDP growth, unemployment, inflation, long‑run inflation expectations, and the fed funds rate. The same model estimates the equilibrium real interest rate, r*. Estimated with re-optimized (posterior-mode) parameters each update, unlike the structural model's fixed parameters.
References
M.T. Kiley (2013), “Output gaps,” Journal of Macroeconomics, 37, 1–18. — BN and PF gaps.
M.T. Kiley (2020), “What Can the Data Tell Us about the Equilibrium Real Interest Rate?,” International Journal of Central Banking, 16(3), 181–209. — UC gap.