CONVEX
Correlation Deep Dive

Agricultural Commodities (DBA) vs S&P 500: Correlation Analysis

Pearson correlation of daily returns for Agriculture ETF (DBA) 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
-0.485
Moderate negative
90-Day
-0.180
Essentially uncorrelated
1-Year
+0.077
Essentially uncorrelated
5-Year
+0.152
Essentially uncorrelated

What the Number Means

With a correlation of -0.18, Agriculture ETF (DBA) 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

Last 90 Days
-0.180
5-Year Baseline
+0.152

The historical positive relationship between Agriculture ETF (DBA) and S&P 500 ETF (SPY) has inverted. Recent 90-day correlation is -0.18 versus a long-run reading of 0.15. 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)+0.077
R-Squared (r²)0.006
Beta (Agriculture ETF (DBA) vs S&P 500 ETF (SPY))0.068
Daily Volatility σ(Agriculture ETF (DBA))0.67%
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 Agriculture ETF (DBA) 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
2026-0.180Essentially uncorrelated91
2025+0.367Weak positive250
2024+0.008Essentially uncorrelated252
2023+0.185Essentially uncorrelated250
2022+0.107Essentially uncorrelated251
2021+0.232Weak 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
+0.511
ending 2025-08-13
Most Decoupled Period
-0.180
ending 2026-05-02

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 Agriculture ETF (DBA) 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.