CONVEX
Correlation Deep Dive

CPI vs PPI: Correlation Analysis

Pearson correlation of daily returns for CPI (All Urban) and PPI Final Demand. Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (56 aligned observations).

30-Day
+0.310
Weak positive
90-Day
+0.696
Strong positive
1-Year
+0.696
Strong positive
5-Year
+0.696
Strong positive

What the Number Means

At 0.70, CPI (All Urban) and PPI Final Demand have a strong tendency to move together. Most daily moves align, though divergences are common enough that the relationship should not be treated as deterministic. A shared regime or macro factor is likely driving both.

Recent vs Long-Run Behavior

Last 90 Days
+0.696
5-Year Baseline
+0.696

Recent correlation tracks the long-run relationship closely. No meaningful divergence. The historical pattern between CPI (All Urban) and PPI Final Demand is intact and should continue to serve as a reasonable baseline for positioning.

Statistical Details (1-Year Window)

Pearson Correlation (r)+0.696
R-Squared (r²)0.485
Beta (CPI (All Urban) vs PPI Final Demand)0.472
Daily Volatility σ(CPI (All Urban))0.28%
Daily Volatility σ(PPI Final Demand)0.41%
Observations56

Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing CPI (All Urban) returns on PPI Final Demand returns. A beta above 1 means the first asset amplifies moves of the second.

Year-by-Year Correlation

YearCorrelationStrengthObservations
2026Insufficient data3
2025+0.387Weak positive11
2024+0.118Essentially uncorrelated12
2023+0.677Strong positive12
2022+0.881Very strong positive12
2021-0.025Essentially uncorrelated6

Year-by-year correlation reveals how the relationship has held up across different macro regimes. Sharp year-over-year swings in correlation often mark the transition between stress and calm periods.

Methodology

Correlations are computed on daily log-adjacent returns for CPI (All Urban) and PPI Final Demand, aligned on shared trading dates. We use the Pearson product-moment coefficient, which measures the linear relationship between two return series.

Windows are the most recent N observations for 30D, 90D, and 1Y (252 trading days); the 5Y figure uses all aligned data up to 1,260 observations. Beta is the OLS slope from regressing the first series on the second. Data updates daily with a 24-hour revalidation cadence.

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Correlation is not causation and backward-looking statistics can fail when regimes shift. Positions sized on historical correlation assumptions should be stress-tested against scenarios where the relationship breaks. For informational purposes only.