GLOBAL MARKETS-Euro falls, Treasury yields up as higher U.S. rates seen

* European shares edge up as ECB momentum lingers

* Dollar index edges up, dollar dips vs yen

* U.S. 10-year note yield hits 1-month high (Updates prices)

By Rodrigo Campos

NEW YORK (Frankfurt: HX6.F - news) , June 10 (Reuters) - A worldwide measure of stocks was little changed on Tuesday, while U.S. Treasury yields touched one-month highs and the euro fell as the prospect of higher U.S. interest rates begins to take hold in markets.

After the European Central Bank last Thursday adopted a more accommodative monetary policy stance, focus is shifting to the Federal Reserve's policy meeting next week. Analysts said there could be a reassessment of the timing of the first U.S. rate increase.

Stocks were slightly lower on Wall Street a day after the S&P 500 hit a record close for a fourth straight session and world shares hovered near their lifetime high set in November 2007.

"Most valuation metrics suggest that equities are no longer cheap, though they're not exactly overpriced where they are now," said David Carter, chief investment officer at Lenox Wealth Advisors in New York. "People are looking for reasons to really buy, but we're optimistic that equities can continue to push higher."

The Dow Jones industrial average fell 10.48 points or 0.06 percent, to 16,932.62, the S&P 500 lost 2.17 points or 0.11 percent, to 1,949.1 and the Nasdaq Composite dropped 2.30 points or 0.05 percent, to 4,333.94.

The pan-European FTSEurofirst 300 index edged up 0.3 percent to its highest close since January 2008. MSCI (NYSE: MSCI - news) 's 45-country stock gauge was flat; at 427.06 points it was less than 2 points away from a record.

The euro fell near last week's four-month low against the U.S. dollar at $1.3532.

The greenback drew support both from the ECB's decision last week to cut interest rates and to start charging banks for keeping their spare cash on deposit and by fresh bets that the Fed could begin to raise rates earlier than expected.

Comments on Monday by James Bullard, president of the St. Louis Federal Reserve Bank, added to the focus on the Fed. Bullard said he could move forward his view on when interest rates should be raised.

The dollar index, which measures the greenback against a basket of key currencies, climbed 0.2 percent, though the dollar was slightly lower against the yen, at 102.35 yen .

"If broader measures are suggesting that the U.S. economy is on a stronger footing, the market has to bring forward the expectations of a Federal Reserve rate hike," said Aroop Chatterjee, currency strategist at Barclays (LSE: BARC.L - news) in New York.

The greenback continued to benefit from rising U.S. Treasury yields as the benchmark 10-year rate topped 2.65 percent for the first time since May 13 before inching back to 2.636 percent.

Next (Dusseldorf: NXG.DU - news) week's Fed policy meeting, on June 17-18, will be followed by a press conference by Fed Chair Janet Yellen, who likely will be pressed on the timing of interest rate hikes.

In commodities, gold edged up 0.7 percent, while Brent oil fell 0.4 percent and U.S. crude prices were flat.

A breakdown in strike talks in South Africa pushed palladium to a three-year high while copper bounced from a one-month low to gain 0.4 percent on the day. (Additional reporting by Ryan Vlastelica, Sam Forgione and Gertrude Chavez-Dreyfuss; Editing by Nick Zieminski, Leslie Adler and Chizu Nomiyama)