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FOREX-Dollar hits 13-month low after Fed adjusts statement

* Dollar reverses early gains after FOMC statement

* Fed says will normalize balance sheet 'relatively soon'

* Euro hits 2-1/2-year high

* Canadian dollar hits 25-month high

* Graphic: Peripheral bond yields: http://reut.rs/2eHvHPE

* Graphic: World FX rates in 2017 http://tmsnrt.rs/2egbfVh (Updates prices, market activity and comments to afternoon U.S. trading; adds data)

NEW YORK, July 26 (Reuters) - The dollar fell on Wednesday, touching its lowest level in more than a year against a basket of currencies after the release of the Federal Reserve's policy statement following its July meeting.

The Federal Open Market Committee announced no changes to monetary policy, as expected. Policymakers said, however, that the U.S. central bank would begin implementing balance sheet normalization "relatively soon." That marked a change from the committee's previous statement that it would begin to reduce its $4.5 trillion bond holdings "this year."

The dollar index, which measures the greenback against six major currencies, fell to 93.396, its lowest since June 23, 2016.

"In our mind, 'relatively soon' is consistent with (a balance sheet reduction in) September, but there couldve been a hope for stronger language or a more clear signal for September," said Vassili Serebriakov, FX strategist at Credit Agricole. "Maybe the market sees September as somewhat of a question mark. We dont. But relatively soon could be open to some interpretation."

While the statement did seemingly set the Fed up to begin paring its balance sheet as soon as its next meeting in September, the lack of surprise allowed the market to revert to the trend of dollar weakness seen before the statement's release.

"Theres just a lot of momentum in dollar selling in general," Serebriakov said. "Once the statement was out of the way and didnt really give any reasons to buy the dollar, the market tried to push for new highs in some of the other currencies."

The dollar index has fallen about 4 percent over the last month and more than 8.5 percent this year.

Analysts also pointed to technical trading levels that were breached once the dollar began to fall, triggering more selling and a further decline in the greenback.

The euro, which had been bumping up against a 23-month high for most of the week, pushed through that mark to touch $1.1739, its highest since Jan. 15, 2015.

The dollar fell to a more than 2-year low against its Canadian counterpart, dropping to C$1.2416, its lowest since June 30, 2015.

Against the yen, the dollar dropped 0.6 percent to 111.21 yen, reversing early gains.

The dollar also surrendered its early rise versus the Swiss franc, last down 0.1 percent at 0.9514 franc.

(Editing by Jonathan Oatis and Dan Grebler)