Crypto
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Crypto vs Macro Asset Correlation Matrix.

Interactive crypto macro correlation matrix. Track Pearson co-movement coefficients between Bitcoin, Ethereum, Solana, S&P 500, Gold, and the US Dollar Index across 30D, 90D, 365D, and 3Y horizons to identify decoupling and macro regimes.

Free Runs in your browser Data: Client-Side Math (No API)
Trading & Calculation Currency:
Macro Horizon:
Active Regime:Monetary Debasement Coupling
Click any cell to inspect
ASSETBTCETHSOLS&PXAUDXYEUR
BTC
ETH
SOL
S&P
XAU
DXY
EUR
Pairwise Correlation Coefficient90D Lookback
Selected Pair:

Bitcoin Γ— Physical Gold

+0.48
● Moderate Positive Correlation

Bitcoin and Physical Gold show moderate co-movement, sharing directional momentum while retaining unique volatility drivers.

DiversificationModerate
Co-VarianceModerate
R-Squared (rΒ²)23.0%
Correlation Color Scale:
-1.0 (Inverse)
-0.5 (Hedge)
0.0 (Uncorrelated)
+0.5 (Moderate)
+1.0 (Coupled)
Specification & Methodology

Understanding your results.

A rigorous breakdown of the mathematical equations, market assumptions, and step-by-step calculations powering this tool.

Executive Summary & Macro Regime Modeling

Cryptocurrency asset valuations do not exist in a vacuum; they operate at the intersection of global central bank liquidity, traditional equities sentiment, and sovereign currency debasement. Tracking Pearson correlations across rolling 30D to 3Y windows provides quantitative proof of whether crypto is trading as high-beta tech risk, digital gold, or an independent uncorrelated alternative.

Gold Co-Movement +0.48 (Hedge Alignment)
US Dollar Inversion -0.52 (Counter-Cyclical)
Crypto Beta Alignment +0.84 (ETH/BTC Synced)
Statistical Foundations

Pearson Correlation & Covariance Formulation.

Formula 01 Sample Pearson Correlation
r = Cov(X, Y) / [σX × σY]

Normalizes the co-variance of daily log returns between Asset X and Asset Y by the product of their individual standard deviations, guaranteeing a standardized output between -1.0 and +1.0.

Formula 02 Coefficient of Determination (r²)
R² = r² × 100%

Measures the exact proportion of variance in Asset X that is statistically explained by movements in Asset Y. If r = 0.80, exactly 64% of price action is coupled to shared systemic drivers.

Practical Portfolio Allocation

How to Use Correlation Data to Protect Capital

Step 01: Identify Decoupling

When Bitcoin's correlation with the S&P 500 drops below +0.20, crypto is trading on endogenous industry fundamentals rather than macro fear.

Step 02: Gauge Currency Risk

Monitor the DXY inversion. Strong negative correlation (-0.60 or lower) indicates dollar strength is the primary headwind capping crypto momentum.

Step 03: Optimize Rebalancing

Pairing assets with negative or low correlation allows rebalancing bonuses: taking profits from rallying assets to acquire temporarily discounted alternatives.

Frequently asked questions.