Efficient frontier

Each dot is a random long-only mix. The curve is the best return available at each level of volatility. The dashed line lends or borrows at the risk-free rate around the max-Sharpe portfolio.

AAPL MSFT NVDA AMZN GOOGL META · 5 years · 1,254 days · Oct 26, 2021 – Oct 26, 2026

0%20%40%60%0%10%20%30%40%50%VolatilityReturnMSFTNVDAAMZNGOOGLMETA

Max Sharpe

Return 47.6% · Vol 42.2% · Sharpe 1.03

AAPL 25% · NVDA 74% · GOOGL 1%

  • Random mixes
  • Efficient frontier
  • Capital market line
  • Max Sharpe
  • Minimum variance
  • Equal weight
  • Your allocation

Maximum Sharpe allocation

This is the split of the funds that lands on the highest Sharpe ratio, 1.03. Return 47.6%, volatility 42.2%.

  • NVDA73.8%

    NVIDIA Corporation

  • AAPL24.8%

    Apple Inc.

  • GOOGL1.4%

    Alphabet Inc.

  • MSFT0.0%

    Microsoft Corporation

  • AMZN0.0%

    Amazon.com, Inc.

  • META0.0%

    Meta Platforms, Inc.

The best of 1,800 random mixes reached a Sharpe of 1.02, against 1.03 for the optimizer.