Crypto Max Drawdown Calculator
Calculate the maximum drawdown of your crypto portfolio from peak to trough. Understand worst-case losses and recovery requirements for risk management.
Crypto Correlation Matrix Calculator
Build a correlation matrix for crypto assets using return data. Visualize how assets move together to optimize portfolio diversification and reduce risk.
| BTC | ETH | SOL | |
|---|---|---|---|
| BTC | 1.00 | 0.85 | 0.72 |
| ETH | 0.85 | 1.00 | 0.78 |
| SOL | 0.72 | 0.78 | 1.00 |
Avg Correlationโง
0.783
Strength of linear relationship
Best Diversification Pairโง
BTC-SOL
ฯ = 0.72
Highest Correlationโง
0.85
Strength of linear relationship
Planning notes, formulas, and examples
About the Crypto Correlation Matrix Calculator
A correlation matrix shows how the returns of different crypto assets move in relation to each other. Correlation values range from -1 (perfect inverse movement) to +1 (perfect synchronized movement). A value of 0 means no relationship. Understanding these relationships is fundamental to portfolio diversification.
Most crypto assets are positively correlated (0.5-0.9) because they're driven by similar market forces โ overall crypto sentiment, Bitcoin's price action, and macroeconomic conditions. However, correlations vary across time and market conditions, making regular recalculation important.
This simplified calculator lets you input correlation estimates between 2-4 assets and view the complete matrix. For actual correlation calculations from historical data, you would use return series โ This calculator helps you organize and visualize the correlations you've calculated or estimated.
Use the result to map token-release or fee scenarios and revisit the model when market conditions, unlock terms, or portfolio assumptions change.
When This Page Helps
Adding assets to a portfolio only provides diversification benefit if they're not perfectly correlated. If all your holdings move in lockstep, you have concentration risk disguised as diversification. A correlation matrix reveals the true relationships and helps you find assets that genuinely reduce portfolio risk when combined.
How to Use the Inputs
- Enter the names of your crypto assets (2-4 assets).
- Input the correlation coefficient between each pair of assets.
- Values must be between -1 and +1.
- View the complete correlation matrix.
- Identify which pairs offer the best diversification (lowest correlation).
- Use this information to optimize your portfolio allocation.
Formula used
Correlation (ฯ) = Cov(X,Y) / (ฯ_X ร ฯ_Y)
Where Cov(X,Y) = ฮฃ[(X_i โ Xฬ)(Y_i โ ศฒ)] / (n-1)
Range: -1 โค ฯ โค +1
Diagonal elements are always 1 (asset correlated with itself)Example Calculation
Result: 3ร3 correlation matrix
BTC-ETH correlation of 0.85 means they move together 85% of the time. BTC-SOL at 0.72 and ETH-SOL at 0.78 show slightly less correlation. For diversification, you'd want to find assets with correlations below 0.5 to meaningfully reduce portfolio risk.
Tips & Best Practices
- Correlations above 0.7 indicate high co-movement โ limited diversification benefit.
- Crypto correlations tend to increase during market crashes (correlation goes to 1).
- Look for assets with correlation below 0.3 for meaningful diversification.
- Recalculate correlations at least quarterly as relationships change over time.
- Stablecoins and DeFi protocol tokens may have lower correlation with BTC than layer-1 coins.
- Consider correlation structures when rebalancing โ sell correlated assets that both overweight.
Crypto Correlation Patterns
Major layer-1 tokens (BTC, ETH, SOL, ADA) typically correlate at 0.6-0.9. DeFi protocol tokens show moderate correlation (0.4-0.7) with BTC. NFT-related tokens and gaming tokens may have lower correlations (0.3-0.6) during certain periods. Stablecoins are the only reliable near-zero correlation assets in the crypto space.
Correlation Breakdown During Crises
One of the most dangerous phenomena in portfolio management is correlation convergence during crises. Assets that appeared diversified in normal times suddenly all drop together during a market panic. In crypto, this is especially pronounced โ nearly everything crashes simultaneously during major selloffs, negating diversification benefits exactly when you need them most.
Using Correlation for Portfolio Construction
The optimal portfolio combines assets with positive expected returns and low correlations. In practice for crypto, this means a core BTC/ETH allocation supplemented by carefully chosen alts with demonstrated lower correlation. Adding a stablecoin allocation provides the most reliable diversification benefit in the crypto ecosystem.
Sources & Methodology
Last updated:
Frequently Asked Questions
BTC and ETH correlation typically ranges from 0.70 to 0.90. During stable markets, it may drop to 0.60-0.70. During crashes, it often spikes above 0.90 as everything sells off together. This high correlation means holding both provides less diversification than many people expect.
Very few crypto assets have consistent negative correlation with Bitcoin. Stablecoins are essentially uncorrelated (near 0). Some DeFi tokens or newer projects may show temporary negative correlation, but it rarely persists. True negative correlation is almost impossible to find within crypto.
In crypto, more assets don't necessarily mean better diversification due to high inter-asset correlations. Research suggests 5-10 carefully chosen crypto assets capture most diversification benefits. Beyond that, marginal benefit diminishes rapidly.
Convert prices to daily returns (percentage change). Calculate the Pearson correlation coefficient between pairs of return series over at least 60-90 days. Use a spreadsheet or programming tools like Python (numpy.corrcoef) for accurate calculations.
Yes, significantly. Crypto correlations are time-varying and regime-dependent. During bull markets, some altcoins may decorrelate from BTC. During panics, correlations spike. Rolling correlation (e.g., 60-day window) reveals how relationships evolve.
Correlation measures statistical co-movement but doesn't imply causation. BTC and ETH may be correlated because they're both driven by the same factors (sentiment, regulation), not because one causes the other to move. Understanding the driving forces helps predict when correlations might break.
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