Portfolio Correlation Matrix Calculator
Calculate portfolio diversification benefits by analyzing correlation between assets. See how combining assets with different correlations affects overall portfolio risk.
What is portfolio correlation and why does it matter?
Correlation measures how two assets move relative to each other (-1 to +1). Perfect positive (+1) means they move together, perfect negative (-1) means they move opposite, zero means no relationship. Low correlation improves diversification - when one asset drops, another may rise, reducing overall portfolio risk. The lower the correlation between assets, the better the diversification benefit.
What correlation values should I look for in a portfolio?
For optimal diversification: Look for correlations below 0.3 between portfolio assets. 0.4-0.7 = moderate correlation (some diversification). Above 0.7 = high correlation (limited diversification benefit). Negative correlations (below 0) provide the best hedge - when one asset falls, the other tends to rise. Many investors aim for a portfolio correlation between 0.2-0.4 for balanced risk reduction.
How does correlation affect portfolio risk?
Correlation directly impacts portfolio volatility through diversification. With perfect positive correlation (+1), no diversification benefit exists - portfolio risk is simply the weighted average. With zero correlation, risk decreases significantly. With perfect negative correlation (-1), you can theoretically eliminate all risk. In practice, most asset correlations are 0.2-0.6, providing moderate but meaningful risk reduction.
How do I calculate portfolio correlation?
Correlation is calculated using historical price data: r = Σ(x-x̄)(y-ȳ) / √[Σ(x-x̄)² × Σ(y-ȳ)²]. For common assets: US stocks vs Bonds ≈ 0.2, US stocks vs Intl stocks ≈ 0.7-0.8, Stocks vs Real Estate ≈ 0.3-0.5, Stocks vs Commodities ≈ 0.2. Use historical data or refer to correlation matrices from financial databases to estimate correlation between assets.