Quantitative Investing

The Efficient Frontier is a Beautiful Lie: Why 'Optimal' Portfolios Fail in Real Markets

If you’ve ever opened up an investing textbook, you’ve seen the chart. A smooth, upward-curving line — the efficient frontier — showing a perfect relationship between risk and return. All you need to do is plug in your estimates for expected returns, volatilities, and correlations, and voilà: the optimal portfolio is right there in front of you.

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The Truth About Beating the S&P 500: What 8 Years of Real Trading Taught Me

I’ve heard this phrase countless times from financial advisors, academic researchers, and fellow investors. The conventional wisdom is clear: 90% of professional fund managers fail to outperform the S&P 500 over ten years, so why should individual investors even try?

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