Sahm Rule vs S&P 500: Correlation Analysis
Pearson correlation of daily returns for Sahm Rule Recession Indicator and S&P 500 ETF (SPY). Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (31 aligned observations).
What the Number Means
With a correlation of 0.00, Sahm Rule Recession Indicator and S&P 500 ETF (SPY) are essentially uncorrelated at daily frequency. Either the relationship operates at a different time horizon or the shared driver has been dominated by idiosyncratic noise during the observation window.
Recent vs Long-Run Behavior
Recent correlation tracks the long-run relationship closely. No meaningful divergence. The historical pattern between Sahm Rule Recession Indicator and S&P 500 ETF (SPY) is intact and should continue to serve as a reasonable baseline for positioning.
Statistical Details (1-Year Window)
| Pearson Correlation (r) | +0.004 |
| R-Squared (r²) | 0.000 |
| Beta (Sahm Rule Recession Indicator vs S&P 500 ETF (SPY)) | 0.102 |
| Daily Volatility σ(Sahm Rule Recession Indicator) | 140.94% |
| Daily Volatility σ(S&P 500 ETF (SPY)) | 5.16% |
| Observations | 31 |
Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing Sahm Rule Recession Indicator returns on S&P 500 ETF (SPY) returns. A beta above 1 means the first asset amplifies moves of the second.
Year-by-Year Correlation
| Year | Correlation | Strength | Observations |
|---|---|---|---|
| 2025 | +0.305 | Weak positive | 5 |
| 2024 | +0.439 | Moderate positive | 8 |
| 2023 | -0.062 | Essentially uncorrelated | 6 |
| 2022 | +0.079 | Essentially uncorrelated | 7 |
| 2021 | -0.240 | Weak negative | 5 |
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 Sahm Rule Recession Indicator and S&P 500 ETF (SPY), 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.