Shelter CPI vs Core CPI: Correlation Analysis
Pearson correlation of daily returns for CPI: Rent of Shelter and Core CPI (ex Food/Energy). Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (56 aligned observations).
What the Number Means
The 0.55 correlation indicates that CPI: Rent of Shelter and Core CPI (ex Food/Energy) have a moderate tendency to move together. The relationship is real but noisy, with frequent days where they disagree. Regime context matters: the correlation often strengthens during stress and weakens during calm periods.
Recent vs Long-Run Behavior
Recent correlation tracks the long-run relationship closely. No meaningful divergence. The historical pattern between CPI: Rent of Shelter and Core CPI (ex Food/Energy) is intact and should continue to serve as a reasonable baseline for positioning.
Statistical Details (1-Year Window)
| Pearson Correlation (r) | +0.554 |
| R-Squared (r²) | 0.307 |
| Beta (CPI: Rent of Shelter vs Core CPI (ex Food/Energy)) | 0.672 |
| Daily Volatility σ(CPI: Rent of Shelter) | 0.18% |
| Daily Volatility σ(Core CPI (ex Food/Energy)) | 0.15% |
| Observations | 56 |
Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing CPI: Rent of Shelter returns on Core CPI (ex Food/Energy) returns. A beta above 1 means the first asset amplifies moves of the second.
Year-by-Year Correlation
| Year | Correlation | Strength | Observations |
|---|---|---|---|
| 2026 | — | Insufficient data | 3 |
| 2025 | +0.291 | Weak positive | 11 |
| 2024 | +0.242 | Weak positive | 12 |
| 2023 | +0.822 | Very strong positive | 12 |
| 2022 | +0.119 | Essentially uncorrelated | 12 |
| 2021 | +0.563 | Moderate positive | 6 |
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: Rent of Shelter and Core CPI (ex Food/Energy), 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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Get daily macro analysis on shifting correlations, regime transitions, and cross-asset signals.
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.