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What a crypto correlation coefficient shows

A crypto correlation coefficient shows how closely two assets' returns move together, from minus one to plus one, with the sign showing direction.

Vahe HakobyanVahe HakobyanEditor-in-chief Updated Oct 6, 20263 min readFact-checked
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Short answer

A crypto correlation coefficient shows how closely a crypto pair's prices move together over time. It runs from minus one to plus one, and the sign shows direction.

A crypto correlation coefficient compares paired returns, not raw prices, over a chosen window. A reading describes one pair in one period, so the value can change as the window or market conditions change.

What does a crypto correlation coefficient show?

The coefficient shows how closely a pair of crypto assets' prices move together over time. It is a number between minus one and plus one. The sign shows direction: a positive value means the assets tend to move together, and a negative value means they tend to move opposite.

How is a crypto correlation coefficient calculated?

Calculation starts with two assets and a chosen window. For each period in that window, you find each asset's return. A return is the percentage change from one period to the next. You pair the two returns from the same period. The formula uses those paired returns, not the raw prices. It divides the covariance of the paired returns by the product of how much each return stream varies on its own. The result falls between minus one and plus one.

How do you read a crypto correlation coefficient?

Values near the positive extreme mean the assets tend to move together. Values near the negative extreme mean they tend to move opposite. A value near the neutral midpoint means no consistent linear relationship between their returns.

Reading the coefficient
Value What it suggests
Near plus one The returns tend to move together.
Near minus one The returns tend to move opposite.
Near zero No consistent linear link between returns.

What does a crypto correlation coefficient not tell you?

The coefficient does not prove that one asset causes the other to move. It also does not tell you what will happen next. Shared market drivers can move a crypto pair together. It measures a linear link, so a curved relationship can be missed.

Frequently asked questions

No. A high value means the two assets moved together in the past, and shared drivers can affect both.

The coefficient uses a chosen window. A short window captures recent moves, and a long window includes more market conditions.

No. It only summarizes past paired returns in a set window, so it cannot forecast direction.

Correlation compares the returns of two assets. Volatility measures how much one asset's price moves around its average.

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Written byVahe HakobyanVahe Hakobyan is the editor-in-chief of World-Crypt. He covers bitcoin, markets and regulation, and leads the newsroom that fact-checks every story before it goes live.