Risk-Adjusted Performance — How to Tell Skill from Luck

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Two funds. One returned eighteen percent, the other twelve. Most people pick the first without a second thought — and most people would be wrong, because that number alone tells you nothing about how much risk was taken to earn it. This week we fix that.

Over the last two sessions we built the efficient frontier and the Capital Asset Pricing Model. Now we put them to work. Risk-adjusted performance measures answer the single most important question an investor can ask: not "what did this portfolio return?" but "what did it return for the risk it took?" That distinction is how the industry separates a skilled manager from a lucky one.

Starting from a simple two-fund puzzle, we'll build the three measures every CFA Level 1 candidate must know — the Sharpe ratio, the Treynor ratio, and Jensen's alpha — one at a time, seeing exactly what each one measures and why they can disagree. You'll learn which measure to reach for depending on whether you're judging an entire portfolio or a single piece of a larger one, and you'll see how the same fund can look brilliant on one measure and ordinary on another.

Whether you're preparing for the CFA Level 1 exam or simply want to understand how professionals actually judge performance, this webinar gives you the intuition and the exam-ready foundation in 30 minutes.

Who should attend: CFA Level 1 candidates, finance students, and early-career professionals building a rigorous foundation in portfolio theory. The two prior sessions on the efficient frontier and CAPM are helpful context but not required — we'll recap the Sharpe ratio and beta as we need them.

You'll leave able to: calculate and interpret the Sharpe ratio, the Treynor ratio, and Jensen's alpha; explain why total risk and systematic risk lead to different measures; choose the right measure for the situation; and describe the limitations of each.

The session runs ~22 minutes teaching + 8 minutes live Q&A:

The puzzle — two funds, different returns and different risks, and why raw return can't answer "who's better."

The Sharpe ratio — excess return per unit of total risk, and its direct link to the capital allocation line from session one.

The Treynor ratio — excess return per unit of systematic risk, and why we'd ever divide by beta instead of standard deviation.

Jensen's alpha — turning the security market line into a scorecard: did the manager beat the return CAPM said they should earn?

Which measure, when — total-risk vs systematic-risk measures, and why the answer depends on whether the fund is your whole portfolio or one holding within it.

Skill or luck — the limitations of each measure and what a single period of outperformance can and cannot tell you.

Live Q&A.

Topic Tags: Risk-Adjusted Performance, Sharpe Ratio, Treynor Ratio, Jensen's Alpha, Performance Measurement, Total Risk, Systematic Risk, Beta, Excess Return, Portfolio Management, CFA Level 1, Investment Performance