CONVEX
Correlation Deep Dive

Oil Price vs S&P 500: Correlation Analysis

Pearson correlation of daily returns for WTI Crude Oil and S&P 500 ETF (SPY). Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (1,262 aligned observations).

30-Day
-0.251
Weak negative
90-Day
-0.316
Weak negative
1-Year
-0.219
Weak negative
5-Year
+0.098
Essentially uncorrelated

What the Number Means

A correlation of -0.32 signals only a weak tendency to move in opposite directions. On most days the two move independently. Do not expect one to reliably predict the other. Look for conditional relationships within specific regimes or event windows.

Recent vs Long-Run Behavior

Last 90 Days
-0.316
5-Year Baseline
+0.098

The historical positive relationship between WTI Crude Oil and S&P 500 ETF (SPY) has inverted. Recent 90-day correlation is -0.32 versus a long-run reading of 0.10. This kind of decoupling tends to mark regime transitions. Often one asset is responding to a newly dominant driver while the other is anchored to the old narrative.

Statistical Details (1-Year Window)

Pearson Correlation (r)-0.219
R-Squared (r²)0.048
Beta (WTI Crude Oil vs S&P 500 ETF (SPY))-0.886
Daily Volatility σ(WTI Crude Oil)3.10%
Daily Volatility σ(S&P 500 ETF (SPY))0.77%
Observations252

Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing WTI Crude Oil 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

YearCorrelationStrengthObservations
2026-0.316Weak negative91
2025+0.258Weak positive250
2024+0.029Essentially uncorrelated252
2023+0.116Essentially uncorrelated250
2022+0.087Essentially uncorrelated251
2021+0.458Moderate positive168

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.

Rolling 90-Day Extremes

Most Correlated Period
+0.568
ending 2021-12-29
Most Decoupled Period
-0.353
ending 2025-10-03

Extremes in rolling 90-day correlation often coincide with regime changes, forced deleveraging, or the arrival of a dominant new macro theme that overwhelms normal relationships.

Methodology

Correlations are computed on daily log-adjacent returns for WTI Crude Oil 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.

Related Correlations

More Comparisons

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.