Markowitz Portfolio Theory in Practice: How to Build a Mathematically Optimal Portfolio

Harry Markowitz proved: The best investment is not the best asset - it is the best combination. Learn the math behind the optimal portfolio.

The Efficient Frontier according to Markowitz

Harry Markowitz received the Nobel Prize in 1990 for his insight: It's not about the best single investment. It's about which combinations of investments together offer the best risk-reward ratio.

The “Efficient Frontier” is the line of all portfolios that have the highest possible risk return. To the left are worse combinations. Right is impossible (higher risk, same return).

Why correlations are everything

Markowitz's secret is not complicated: When two assets are not perfectly correlated, you benefit from diversification.

If you combine two assets with -0.5 correlation, the portfolio risk is less than the sum of the individual risks. This is the only “free meal” in finance.

In practice: The optimal portfolio

Huber's efficiency line analysis (Figures 83 and 84) identifies the mathematically optimal portfolio for different risk profiles.

Conservative (σ=10%):40% stocks, 40% bonds, 15% gold, 5% commodities

Balanced (σ=14%):50% stocks, 25% bonds, 15% gold, 10% commodities

Aggressive (σ=18%):65% stocks, 15% bonds, 10% gold, 10% commodities