The action of the Fed would lead to an outward shift in the supply of euros in the foreign exchange market, and will place downward pressure on the value of the euro.
When the Fed exchanges euros for dollars, it means that they are selling euros and buying dollars. As a result, the supply of euros increases. This leads to an outward shift of the supply of euros and a decline the value of euros.
Thus, the value of the euro would depreciate while the value of the dollar would appreciate.
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