Start Here · Beginner · 5 min

Return, risk, volatility: the core triangle

You can calculate a simple return and explain how return, risk and volatility relate to each other.

Three words behind every decision

Every asset, from a government bond to a crypto coin, can be described with three words: how much it might earn, how much you might lose, and how wildly it moves on the way there. Return, risk and volatility.

They sound like textbook terms, but they decide almost everything: what you buy, how much of it, and whether you can sleep at night while you hold it.

How they connect

Return is what you gain or lose, measured against what you put in. Buy for 1,000 and sell for 1,100, and your return is 10%. Sell for 900 and it is minus 10%. Costs and fees reduce it.

Risk is the chance that the outcome is worse than you expected, up to losing money you cannot afford to lose. It is not a single number. It includes the risk that a company fails, that you have to sell at a bad moment, and that you misjudge your own nerves.

Volatility is how much and how fast a price swings. Professionals usually measure it as the standard deviation of returns, but the idea is simple: a calm price moves in small steps, a volatile price jumps.

Calm and volatile price Two fictional prices that both rise from 100 to 110: the calm one in small steps, the volatile one after falling 25% to 75 on the way. +10% CALM +10% −25% VOLATILE

The three form a triangle. Over long periods, assets with higher expected returns have usually come with higher risk and bigger swings. The SEC's beginners' guide, for example, describes stocks as having had the greatest risk and the highest returns of the three major asset categories, ahead of bonds and cash. Nobody can offer a high return without a catch, and an offer that claims to is a warning sign.

Volatility is one way to see risk, but not the whole of it. A calm price can still fall sharply one day, and a volatile one can be bearable for someone with a long horizon and money they won't need for years.

One more piece belongs in the triangle: how much of your money sits in one asset. The same volatile stock is a small risk at 2% of your savings and a large one at 80%. That is why position size, covered in the risk rubric, matters as much as the asset itself.

Same return, different ride

Look at the two fictional prices in the chart above. Both start at 100 and end at 110, a return of 10%.

On paper the result is identical. In practice, someone holding the volatile asset had to sit through a quarter of their money disappearing. Many people sell at that point, and their real return is minus 25%, not plus 10%.

Now add size. With 4,000 invested, the volatile path shows a loss of 1,000 at its low. Whether someone can hold through that depends on their plan, their horizon and how much of their savings it is.

Common mistakes

The takeaway

Return is what you hope for, risk is what you can lose, volatility is the ride in between. Judge every asset on all three.

Check yourself

Quick quiz

4 questions. Instant feedback, nothing is saved.

  1. 1Both prices end 10% higher. Tap the one with the higher volatility.

    Tap the chart.

    Calm and volatile price Chart for the question: Both prices end 10% higher. Tap the one with the higher volatility. +10% CALM +10% −25% VOLATILE

    Volatility is about the swings on the way, not the result. The volatile price fell 25% before it recovered.

  2. 2A position grows from 2,000 to 2,300. What is the return?

    The gain is 300. Measured against the 2,000 put in, that is 300 ÷ 2,000 = 15%.

  3. 3Which statement about risk and return is most accurate?

    Over long periods, assets with higher expected returns have usually carried more risk and larger swings.

  4. 4Is volatility the same thing as risk?

    Volatility is one way to see risk. Risk also includes a company failing, being forced to sell at a bad time, or losing money you need.

of 4 correct.

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