Oil vs CPI — 80 years of correlation, lead-lag, pass-through, expectations and real prices

Monthly WTI crude against official US CPI, 1947-01 to 2026-10. The full-sample correlation of the two year-over-year rates is 0.476 (0.574 since 2000, 0.89 over the trailing 3 years). Oil leads headline CPI by 2 months at peak correlation (r 0.5); the CPI energy index responds within 1 month (r 0.831, full-sample correlation 0.809). Core CPI barely responds (correlation 0.27) — the statistical basis for the Fed looking through oil shocks.

Pass-through, estimated by OLS on the YoY rates: +10% oil ≈ +0.248pp of headline CPI (since 2000, r² 0.33); +2.305pp on the CPI energy index (r² 0.655). Latest readings: WTI averaged $98 in October 2026 so far (daily closes 2026-10-01 to 2026-10-16: EIA spot through 2026-10-14, front-month futures settlements after), +61.57% on the year; headline CPI 3.74% YoY (2026-09), the Nowflation Forecast for October 2026: 3.86% (the in-house model alone 3.97%).

Does the market think the oil move is transitory? WTI vs the 5-year breakeven vs the 5y5y forward, 2003-01 to today

What the TIPS market prices: the 5-year breakeven is 2.37%, the 10-year 2.35%, and the 5-year, 5-year forward — the Fed's long-run anchor gauge — 2.33% (2026-10-16). Over the last three months WTI moved +23.7% while the 5-year breakeven moved +13bps and the 5y5y forward +13bps: long-run expectations are drifting — the 5y5y forward moved with the shock, which is what the Fed watches for. Since 2003 the monthly change in the 5-year breakeven correlates 0.412 with the monthly oil move (0.475 since 2020); the 5y5y forward only 0.275 (0.276 since 2020). Fitted by OLS on monthly changes, a +10% oil move is worth about +8.1bps of 5-year breakeven but only +4.3bps of 5y5y forward — oil moves near-term expectations and barely touches the long-run anchor.

Is oil actually expensive? WTI in today's dollars since 1947

Deflated by the CPI to 2026-09 dollars, WTI is $98 a barrel in real terms today (nominal $98) — the 82nd percentile of every month since 1947, against a real median of $52. The all-time real high was $206 in 2008-06 (nominal $134); the real low $22 in 2020-04. In today's dollars the shocks line up: OPEC embargo $32→$71, Iranian revolution $74→$161, Gulf War $48→$91, Supercycle peak $91→$206, Reopening + Ukraine war $53→$131.

Every oil shock since 1973 — the move, then where CPI went

ShockWindowWTI moveIn today's $CPI YoY at startCPI YoY within a year
OPEC embargo1973-10 → 1974-03+135% ($4→$10)$32→$717.8%12.34% (1974-12)
Iranian revolution1978-12 → 1980-07+166% ($15→$40)$74→$1619.02%14.76% (1980-03)
OPEC price war1985-11 → 1986-07-62% ($31→$12)$95→$363.51%1.1% (1986-12)
Gulf War1990-07 → 1990-10+93% ($19→$36)$48→$914.82%6.29% (1990-10)
Supercycle peak2007-01 → 2008-06+145% ($55→$134)$91→$2062.08%5.6% (2008-07)
GFC crash2008-07 → 2009-02-71% ($133→$39)$204→$625.6%-2.1% (2009-07)
Shale glut2014-06 → 2016-02-71% ($106→$30)$150→$432.07%-0.2% (2015-04)
COVID collapse2020-01 → 2020-04-71% ($58→$17)$75→$222.49%0.12% (2020-05)
Reopening + Ukraine war2020-11 → 2022-06+181% ($41→$115)$53→$1311.17%9.06% (2022-06)

Method: Pearson correlations and OLS betas on monthly year-over-year rates — WTI monthly average (FRED WTISPLC from 1946; months it has not yet published are the average of daily closes, EIA spot where published and front-month futures settlements after, weekends and exchange holidays left out) vs CPI-U NSA indexes (headline from 1913, core and energy from 1957), all downloadable from the open data directory. Energy is ~6.4% of the CPI basket directly; the indirect channel (freight, airfares, food) roughly doubles the effect. Breakevens are FRED T5YIE, T10YIE and T5YIFR (daily from 2003) averaged to months; their correlations and betas are on month-to-month changes, not levels. Real WTI is each month's price times the latest CPI divided by that month's CPI. Updated every morning by the Nowflation engine.