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Trading glossary

Cross rate

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A cross rate is an exchange rate between two currencies with no US dollar on either side, historically assembled by combining each currency's separate dollar rate.

A rate between two currencies neither of which is the US dollar, such as euro against sterling or euro against yen. The pairs themselves are commonly called crosses. The name is a fossil: before direct quoting between two non dollar currencies was routine, a euro to yen rate was constructed by crossing two dollar rates, and pricing for the thinner crosses is still assembled that way behind the quotation.

The construction is a division or a multiplication depending on how the two legs are quoted. Where both are quoted with the dollar as the counter currency, the cross is one leg divided by the other. Where one is quoted the other way round, it is a multiplication. Liquid crosses now have their own direct market, which is why their dealing spreads are narrow, while thinner ones inherit the spreads of both legs used to build them and are correspondingly wider.

The useful thing about a cross is that it removes the dollar from the comparison, and the confusing thing is the same fact. A day on which the dollar moves against everything can leave a cross almost unchanged while both of its legs travel a long way. There is also a naming disagreement worth knowing: outside dollar centred desks, a cross often means any pair that does not involve the local currency, so the word does not carry the same meaning in every market.

How it is calculated

Where two currencies are both quoted against the dollar as the counter currency, the cross rate is the first currency's dollar rate divided by the second currency's dollar rate.

Worked example. Illustrative figures, not YAL prices or terms.

Building one cross from two dollar rates

First currency against the dollar
1.1000
Second currency against the dollar
1.2500
Cross rate between the two
1.1000 ÷ 1.2500 = 0.8800
If both dollar rates rise by the same proportion
0.8800, unchanged

Illustrative rates, not quotes. Dealing spreads are excluded, and a directly quoted cross will not match a constructed one exactly once spreads are included.

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