Efficient Frontier Minimum Variance Portfolio Calculator

Compute the minimum variance frontier from a covariance matrix and expected returns. Solve the quadratic program min w'Sigmaw subject to w'1=1 and w'mu=target using Lagrangian optimization.

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$ Finance Disclaimer: These calculators are for educational and illustrative purposes only. Results do not constitute financial advice. Consult a licensed financial advisor before making investment or borrowing decisions.
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How It Works

Compute the minimum variance frontier from a covariance matrix and expected returns. Solve the quadratic program min w'Sigmaw subject to w'1=1 and w'mu=target using Lagrangian optimization

Each component has a specific meaning:

  • Covariance matrix — The covariance matrix recorded for the scenario being assessed.
  • Expected returns — The expected returns recorded for the scenario being assessed.

Note: Interpret the efficient frontier min var result against the thresholds and context described above.

How to Use

Enter the covariance matrix, expected returns for the scenario you are assessing. Compute the minimum variance frontier from a covariance matrix and expected returns. Solve the quadratic program min w'Sigmaw subject to w'1=1 and w'mu=target using Lagrangian optimization. Use the efficient frontier min var result to inform your calculation.

Frequently Asked Questions