Risk Management

Correlation

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Quick Definition

Correlation — Correlation measures how closely two assets move together, ranging from +1 (perfect positive) to -1 (perfect negative), crucial for portfolio diversification.

Track Correlation with JournalPlus

Correlation is a statistical measure of how two assets move in relation to each other, expressed as a coefficient between -1 and +1. Understanding correlation is essential for building diversified portfolios, managing risk, and implementing strategies like pairs trading. When assets are highly correlated, they don’t provide diversification benefits—they just multiply your exposure.

  • Correlation of +1: Assets move perfectly together (no diversification)
  • Correlation of 0: No relationship (good for diversification)
  • Correlation of -1: Assets move in opposite directions (hedging potential)

How Correlation Works

Correlation quantifies the relationship between two assets’ returns. It tells you what to expect from one asset when the other moves.

Correlation Coefficient (r):
- r = +1.0: Perfect positive correlation
- r = +0.5: Moderate positive correlation
- r = 0: No correlation
- r = -0.5: Moderate negative correlation
- r = -1.0: Perfect negative correlation

The formula uses covariance of returns divided by the product of standard deviations, but most platforms calculate this automatically.

Quick Reference: Correlation Interpretation

CorrelationInterpretationDiversification Value
+0.9 to +1.0Very high positiveNone—moves together
+0.5 to +0.9Moderate positiveLimited benefit
+0.2 to +0.5Low positiveSome benefit
-0.2 to +0.2Near zeroStrong benefit
-0.5 to -0.2Low negativeVery strong benefit
-1.0 to -0.5Moderate/high negativeHedging potential

Example: Portfolio Correlation Analysis

Two Portfolios, Same Stocks, Different Correlations:

Portfolio A: High CorrelationCorrelation
AAPL & MSFT0.82
GOOGL & META0.79
NVDA & AMD0.88
Average Portfolio Correlation0.83
Portfolio B: Low CorrelationCorrelation
AAPL & XOM0.15
JNJ & AMZN0.22
GLD & SPY-0.08
Average Portfolio Correlation0.10

Result in 20% Market Crash:

  • Portfolio A drops ~19% (high correlation = falls together)
  • Portfolio B drops ~8% (low correlation = cushions the fall)

Correlation measures how assets move together on a scale from minus one to plus one. Low or negative correlation provides diversification benefits. High correlation means positions move together, multiplying risk rather than spreading it.

Common Asset Correlations

Asset PairTypical CorrelationNotes
Tech Stocks (FAANG)+0.7 to +0.9Move together in sector trends
Stocks & Bonds+0.2 to -0.3Varies by market regime
Gold & Stocks-0.1 to -0.4Negative in crises
Oil & Energy Stocks+0.6 to +0.8Logically connected
USD & Gold-0.3 to -0.5Generally inverse

Why Correlation Matters

  1. True diversification – Without understanding correlation, you might think you’re diversified when you’re not. Ten tech stocks don’t diversify risk.

  2. Risk management – Highly correlated positions multiply your exposure. If everything drops together, your losses compound.

  3. Pairs trading – Correlation is the foundation of statistical arbitrage strategies that profit from temporary divergences.

  4. Portfolio construction – Optimal portfolios combine assets with low correlation to maximize returns per unit of risk.

Correlation Breakdown in Crises

A critical concept: correlations tend to spike toward +1 during market panics. Assets that normally move independently suddenly all fall together as investors sell everything.

Example: 2008 and 2020 Crashes

  • Normal times: Stocks, commodities, REITs have correlations around 0.3-0.5
  • During crashes: Correlations spiked to 0.8-0.95

This means diversification works best in normal markets but provides less protection in extreme events. True crisis hedges require assets with negative correlation in stress (like Treasury bonds or VIX products).

Common Mistakes

  1. Using short-term correlation – Monthly correlation can be noisy. Use 1-3 year rolling correlation for stable estimates.

  2. Ignoring regime changes – Correlations shift with market regimes. What was uncorrelated in a bull market may become correlated in a bear market.

  3. Assuming stability – Historical correlation doesn’t guarantee future correlation. Monitor and adjust regularly.

  4. Sector confusion – Assuming different stocks means diversification. Five bank stocks are one correlated bet on financials.

How JournalPlus Tracks Correlation

JournalPlus calculates the correlation between your positions to measure true portfolio diversification. You can identify hidden concentration risk, see how correlations change over time, and understand whether your portfolio would survive a correlation-spike event.

Common Questions

What is a good correlation between stocks?

For diversification, you want low or negative correlation (below 0.3). High correlation (above 0.7) means assets move together and provide no diversification benefit. A correlation of 0 means no relationship—ideal for spreading risk.

How do you calculate correlation?

Correlation is calculated using the Pearson coefficient formula, comparing price movements over time. Most trading platforms calculate it automatically. Use at least 30-60 data points for reliable results. Daily returns over 3-6 months work well.

What does negative correlation mean?

Negative correlation means when one asset rises, the other tends to fall. Gold and stocks often have negative correlation during crises—gold rises when stocks crash. Negative correlation is valuable for hedging and reducing portfolio volatility.

Do correlations change over time?

Yes, correlations are not static. Assets that were uncorrelated can become highly correlated during market stress—this is called 'correlation breakdown.' In market crashes, nearly everything becomes correlated as investors sell indiscriminately.

How is correlation used in pairs trading?

Pairs trading exploits temporary divergences between highly correlated assets. If two stocks normally move together (correlation > 0.8) and one diverges, you short the outperformer and long the underperformer, betting they'll converge.

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