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Correlation Calculator

Whether two open positions are really one position wearing two tickers.

Inputs it asks for
Correlation coefficient (-1 to 1) value
Risk on position A, % value
Risk on position B, % value
Formula shown · assumptions disclosed

What it computes

Whether two open positions are really one position wearing two tickers. The page states the equation, the units it expects and the rounding it applies, so the result can be reproduced by hand.

Where it sits in the chain

A calculator gives you a number. This one feeds the next: account to risk, risk to position size, position size to the trade, and the trade to expectancy, drawdown and risk of ruin.

See the performance tools →
Inputs
Result
Sum of the two risks 2.00%
Combined risk allowing for correlation 1.92%
Diversification benefit 0.08 points
Effective positions 1.04
Above about 0.7 the two are close to one position. Size them as one.
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The formula

combined risk = √(a² + b² + 2ρab)

At ρ = 1 this collapses to a + b, the naive sum. At ρ = −1 it collapses to |a − b|. Everything real sits between.

Worked example

Two 1% positions with a correlation of 0.85:

naive = 1 + 1 = 2.00%
combined = √(1 + 1 + 2 × 0.85 × 1 × 1) = 1.92%
benefit = 0.08 points

Eight hundredths of a percentage point of diversification. At this correlation the two positions are effectively one.

What it assumes

  • Correlation is not stable. It rises toward 1 in a sell-off, which is exactly when the diversification is being relied on.
  • It is a pairwise figure. Three or more positions need the full covariance matrix, not repeated pairs.

Common questions

At what correlation should I treat two trades as one?

Above about 0.7 the diversification benefit is small enough to ignore. Size them as a single position.

Which forex pairs are highly correlated?

Any that share a currency, particularly against the dollar. EURUSD and GBPUSD typically run above 0.8, so long positions in both are one dollar-short trade.

How do I find the correlation between two pairs?

Compute it on the returns, not the prices, over the horizon you actually hold for. A correlation measured on daily returns says little about a position held for an hour.

What to work out next

A calculator answers one question and raises the next. These are the ones this figure feeds into.

Risk Calculator

The maximum you should lose on one trade, before anything else about the trade is decided.

Leverage Calculator

Exposure relative to equity, and why an affordable margin can still be reckless risk.

Position Size Calculator

Turn an account balance, a risk percentage and a stop distance into a size in lots, shares or contracts.

Correlation Calculator · rounding shown to the precision displayed

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