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This is a great resource that shows the correlation of different currency pairs on a minute, hour, and daily basis.

http://www.mataf.net/en/tools/01-01-correlation

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http://www.mataf.net/en/tools/01-01-correlation

 

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Mirror image currency whether they move inverse or in the same direction together, is typically because that they are in the same regions of the world. Like your example the swiss and the euro.
Eur/Usd___Usd/Chf
Aud-Usd___Nzd/Usd
Gbp/Usd___Eur/Usd
Eur/Aud___Eur/Nzd
Eur/Jpy___Gbp/Jpy
Aud/Jpy___Nzd/Jpy
Usd/Cad___Usd/Chf
Now Canada and Switzerland not necessarily same region but have similar movements because of the United States Dollar.

****Even though there is a correlation between some currency pairs, you should still use proper risk management, as well as understand at times even pairs that correlated may react to news differently.

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