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Correlation Deep Dive

Euro Stoxx 50 vs S&P 500: Correlation Analysis

Pearson correlation of daily returns for Euro Stoxx 50 and S&P 500 ETF (SPY). Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (1,219 aligned observations).

30-Day
+0.857
Very strong positive
90-Day
+0.721
Strong positive
1-Year
+0.636
Strong positive
5-Year
+0.491
Moderate positive

What the Number Means

At 0.72, Euro Stoxx 50 and S&P 500 ETF (SPY) 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
+0.721
5-Year Baseline
+0.491

The correlation has strengthened materially. The 90-day reading of 0.72 is 0.23 above the long-run average of 0.49. Rising correlation typically accompanies deleveraging, broad risk-off, or a dominant single-factor regime where idiosyncratic drivers get drowned out.

Statistical Details (1-Year Window)

Pearson Correlation (r)+0.636
R-Squared (r²)0.405
Beta (Euro Stoxx 50 vs S&P 500 ETF (SPY))0.653
Daily Volatility σ(Euro Stoxx 50)0.98%
Daily Volatility σ(S&P 500 ETF (SPY))0.96%
Observations252

Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing Euro Stoxx 50 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+0.728Strong positive78
2025+0.236Weak positive241
2024+0.451Moderate positive243
2023+0.504Moderate positive245
2022+0.563Moderate positive247
2021+0.585Moderate positive165

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
+0.753
ending 2022-09-26
Most Decoupled Period
-0.203
ending 2025-08-22

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 Euro Stoxx 50 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.