Markowitz // Min-Variance

Low-Risk Portfolio Optimizer

Tickers (comma-separated)

Uses Yahoo Finance's public chart data (no API key needed). This is an unofficial, undocumented endpoint, it can change or rate limit without notice, so treat this as a personal learning tool, not production infrastructure.

Risk-free rate (annual, %)

Enter a few tickers, then click "Optimize Portfolio."

Expected Annual Return

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Annual Volatility

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Sharpe Ratio

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Trading Days Used

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Minimum-Variance Allocation

Holdings Detail

Ticker	Weight	Latest Close	Ann. Return	Ann. Volatility

Allocation Breakdown

This tool computes a minimum-variance portfolio from historical daily-return covariance (Markowitz mean-variance framework), long-only, weights summing to 100%. It is an educational statistical output, not financial advice — past covariance is not a guarantee of future risk, and small-sample covariance estimates are noisy.