If the euro falls to parity with US dollar, hide out in these Dow stocks, history shows

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If the euro continues its downtrend and falls to parity with the U.S. dollar in the next month, investors should hide out in three Dow Jones industrial average members that conduct a large part of their business domestically, history shows.

The euro is about 5 percent away from parity with the dollar. Using Kensho, CNBC PRO found EUR/USD declined 5 percent or more in one month a total of 18 times in the last decade.

Only three Dow members averaged a positive return during those occasions: