CONVEX
Correlation Deep Dive

Gold vs Bitcoin: Correlation Analysis

Pearson correlation of daily returns for Gold (Spot) and Bitcoin. Rolling windows, yearly breakdown, regression beta, and divergence analysis. Data window spans to (1,278 aligned observations).

30-Day
+0.520
Moderate positive
90-Day
+0.366
Weak positive
1-Year
+0.182
Essentially uncorrelated
5-Year
+0.084
Essentially uncorrelated

What the Number Means

A correlation of 0.37 signals only a weak tendency to move together. 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
+0.366
5-Year Baseline
+0.084

The correlation has strengthened materially. The 90-day reading of 0.37 is 0.28 above the long-run average of 0.08. 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)+0.182
R-Squared (r²)0.033
Beta (Gold (Spot) vs Bitcoin)0.120
Daily Volatility σ(Gold (Spot))1.75%
Daily Volatility σ(Bitcoin)2.66%
Observations252

Correlation measures directional co-movement; R² quantifies the fraction of variance explained by the linear relationship. Beta is the slope coefficient from regressing Gold (Spot) returns on Bitcoin returns. A beta above 1 means the first asset amplifies moves of the second.

Year-by-Year Correlation

YearCorrelationStrengthObservations
2026+0.184Essentially uncorrelated136
2025+0.099Essentially uncorrelated252
2024+0.065Essentially uncorrelated252
2023+0.111Essentially uncorrelated250
2022+0.099Essentially uncorrelated251
2021-0.068Essentially uncorrelated137

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
+0.378
ending 2026-06-15
Most Decoupled Period
-0.214
ending 2024-02-26

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 Gold (Spot) and Bitcoin, 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.