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What is the Sharpe ratio?

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The Daily Ledger · Markets

The fund's deck led with its returns, but the allocator skipped ahead to the Sharpe ratio to see what those returns had cost.

The reader highlighted one word mid-article. Clicked made the trading term “Sharpe ratio” easy to understand:

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Overview

The Sharpe ratio measures how much return an investment earned for each unit of risk taken. The calculation starts with the return and subtracts what a risk-free option like government bills paid anyway. The rest gets divided by how much the investment swung along the way. Two funds with identical returns can have very different Sharpe ratios, and the calmer one scores higher. A return alone never says how roughly it was earned.
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Overview

The Sharpe ratio is the "yes, but how" of investing. Anyone can post a return. The ratio asks what the trip looked like. Did the money grow on rails, or lurch between euphoria and disaster and happen to end high? The formula rewards return and charges for turbulence, which makes it very hard to look good by simply betting bigger. That's exactly why professionals quote it and why marketing decks sometimes don't. 😎

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Detail

The Sharpe ratio answers a question a raw return cannot: was the reward worth the risk? Start with the investment's return. From it, subtract the risk-free rate: the return that government bills pay for taking no risk at all. What remains is the part the investment earned by actually taking risk. That remainder is divided by the standard deviation of the returns, which measures how widely they swung. The subtraction matters because the risk-free portion was available to everyone for nothing. The division is the heart of the ratio. Two funds can both return twelve percent, one through wild monthly swings and one smoothly, and they did not perform equally. The second earned the same reward from far less risk, and its higher Sharpe ratio says so. As rough guideposts, a ratio near 1 is good and near 2 excellent, though both depend on the period measured. The ratio has honest limits. Upward swings count as risk just like downward ones. The ratio also describes one stretch of the past, and a past ratio is no forecast. An investment can look calm for years while carrying a rare risk that has simply not arrived yet. The ratio ranks candidates rather than certifying any of them as safe.
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Detail

The Sharpe ratio exists because "up 40%" is only half a sentence. The other half is what it took, and the ratio makes that half mandatory. The maths is one line. Take the return, knock off what boring government bills paid, because that part required no talent, then divide by how violently the thing swung. Return per unit of stomach lining. Now it gets hard to fake. Double the bets and you double the swings along with the gains, so the ratio barely moves. That is precisely the point. The ratio measures skill per risk, and more risk was never more skill. This is why a steady 15% can outrank a chaotic 40%, and why the pros would rather own the 15. The number does have blind spots, and they're worth knowing. Upward movements get slapped with the same penalty as crashes, since both count as swings. The whole thing also grades on what already happened, and a fund that stayed calm for five years has promised nothing about the sixth. Treat it as a comparison tool with an attitude, and never as a safety certificate. 😎

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Analogy

A Sharpe ratio works like judging two taxi drivers who both beat the train to the airport. The train always takes forty minutes, so it is the safe option, and both drivers did the trip in twenty-five. Same reward: fifteen minutes saved. But one drove smoothly while the other ran two reds, clipped a mirror and terrified everyone aboard. So ask the question the ratio asks. Was that second driver's fifteen minutes worth the journey it took to get them? Divide the minutes saved by the chaos endured and the smooth driver wins easily, even though the clocks agree. Even seventeen minutes saved loses to a calm fifteen, because those extra two minutes cost more nerve than they were worth.
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Analogy

The Sharpe ratio is how you judge two friends who both made $1,000 betting on football this season. One bet small on favourites all year and ground it out. The other blew forty parlays, hit one monster, and is insufferable about it. Same profit, and the ratio has no trouble telling them apart, because it divides the winnings by the swings survived to get them. The grinder scores high. The parlay guy's number is a rounding error above zero, which is the ratio's way of saying: this money was rented from luck. Copy the method, not the balance. The balance doesn't repeat. The method does. 😎
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AI explanations may contain errors · Not professional advice

Formal definition — The same term, explained the usual way

The Sharpe ratio is a measure of risk-adjusted return computed as the excess of an investment's return over the risk-free rate, divided by the standard deviation of those excess returns over the same period. Introduced by William F. Sharpe in 1966 as the reward-to-variability ratio, it expresses compensation earned per unit of total volatility and is typically annualized for comparison. Its assumptions carry known limitations: volatility treats upside and downside deviations symmetrically, historical estimates need not persist, and return distributions with skew or fat tails can make the ratio flatter strategies whose risks realize infrequently. The Sortino ratio, which penalizes only downside deviation, is a common refinement.

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