LearnRiskPortfolio Risk Management
Risk · Lesson 11 of 13

Portfolio Risk Management

7 min read  ·  Advanced

Managing individual stock risk is one thing. Managing a portfolio — where the interactions between positions matter as much as the individual positions — is another entirely. Portfolio risk management uses a set of quantitative tools that let you see your actual total risk exposure, not just the sum of your individual positions.

Correlation — the portfolio multiplier

When two assets have a correlation of +1, they move perfectly together — owning both gives you no diversification benefit. When correlation is 0, they're independent — owning both reduces portfolio volatility. When correlation is −1, they move perfectly opposite — owning both in equal weight gives you zero portfolio volatility.

The key insight: portfolio risk depends more on the correlations between assets than on the individual volatilities of those assets. Adding a volatile asset with low correlation to your existing portfolio can actually reduce total portfolio volatility.

Correlation matrix — typical asset class relationships
US Eq. Intl Eq. Bonds Gold Cash Crypto US Eq. Intl Eq. Bonds Gold Cash 1.00 0.82 -0.15 0.05 0.02 0.38 0.82 1.00 -0.10 0.08 0.01 0.30 -0.15 -0.10 1.00 0.20 0.00 -0.02 High positive (move together) Negative (diversifying) Near zero (uncorrelated) Correlations are approximate and change in crises — bonds and equities both fell in 2022

Sharpe and Sortino ratios

The Sharpe ratio = (Portfolio return − Risk-free rate) ÷ Standard deviation. It measures return per unit of total volatility. A Sharpe above 1.0 is good; above 2.0 is excellent. Limitation: it penalises upside volatility the same as downside — winning big counts against you.

The Sortino ratio fixes this by using only downside standard deviation in the denominator. A strategy with frequent large gains and rare small losses will have a much higher Sortino than Sharpe. Most professional risk managers prefer Sortino for evaluating asymmetric return strategies.

Correlation warning — crisis changes everything: the correlation matrix above shows typical relationships. During severe market stress, correlations often move sharply toward +1 as investors sell everything for cash simultaneously. The 2022 experience — where bonds and equities both fell hard together — was unusual but not unprecedented. Diversification that works in calm markets can provide less protection in exactly the conditions where you need it most.

Put this to the test in RIP.

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