Suppose you have the data and calculated the currency correlations of the major pairs. The correlation between GBP/USD and EUR/USD is 0.68. This correlation coefficient means both the pairs move in the same direction 68% of the time.

USD/CHF and EUR/USD have a correlation coefficient of -0.975. This is pretty close to (-1). It means both these pairs move in the opposite direction almost all the time. To be precise 97.5% of the time if USD/CHF moves up, the pair EUR/USD will move down!

You have this information that tells you how much these pairs move in the same or opposite directions. You trade the pairs USD/CHF and EUR/USD at the same time by going long on both. You are in fact canceling both the positions.

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