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* Dollar set for biggest weekly slide since March
* Interest rate outlook continues to favor euro
* Risk-aversion edges up, boosting the yen
By Lucia Mutikani
NEW YORK, May 23 (Reuters) - The dollar fell on Friday and was on track for its steepest weekly decline against a basket of major currencies in two months, as investors worried surging oil prices could deepen an economic downturn and fan inflation pressures.
Investors shrugged off data showing a sharp fall in euro zone services activity in May and a slowdown across German's manufacturing sectors, convinced that boiling oil prices may even force the European Central Bank to raise interest rates this year.
Also weighing on the dollar was news that the stock of unsold U.S. houses touched a record high in April, indicating that the housing market rout was far from over.
"It just goes back to negative U.S. dollar sentiment that has been developing in the last while," said Stephen Malyon, senior currency strategist at Scotia Capital in Toronto.
"The services report didn't appear to hurt the currency. The market is more concerned about crude oil and the weakness in the dollar."
The euro climbed to a session high of $1.5794 and last traded up 0.3 percent at $1.5783 <EUR=>, off a one-month high of $1.5814 touched on Thursday. On the week, it rose 1.2 percent, the most since March.
The dollar fell 0.8 percent to 103.25 yen <JPY=>. The New York Board of Trade and Industry's dollar index <.DXY>, which tracks the dollar's performance against a basket of major currencies, was down 1.2 percent on the week. If that holds, it would be its biggest weekly decline since late March. The index was last down 0.3 percent at 71.943.
Volume on Friday was light, with both the United States and Britain heading into long holiday weekends. The euro was also boosted by a report showing Belgian business confidence, a bellwether for the euro zone, rebounded in May.
"That's contributing to keeping the euro better bid and the dollar a little bit softer. Of course oil holding around $133 is not helping matters either," said Brian Dolan, chief currency strategist at Forex.com in Bedminster, New Jersey.
"Right now the dollar is on the ropes and given a lack of liquidity, the potential is for further dollar losses."
Earlier this week, the Federal Reserve said the slumping U.S. housing market likely had further to fall and also downgraded its 2008 U.S. economic growth outlook.
But with oil prices surging above $135 a barrel this week, markets have all but priced out the chances of another Fed rate cut this year, though a rate increase may be a tough sell at a time when U.S. growth is slowing.
"For the moment, the focus is on the stagflationary influences of oil, which is prone to play moderately negative for the dollar," said Alan Ruskin, chief international strategist at RBS Greenwich Capital in Greenwich, Connecticut. He said the euro could push above $1.60 in the third quarter.
The low-yielding yen was a strong performer heading into the long weekend, with the euro down 0.5 percent at 162.82 yen <EURJPY=>.
Although Japan is vulnerable to higher oil costs, the impact on global growth also sparked risk-averse investors to unwind risky trades funded with cheaply borrowed yen. Nominal Japanese interest rates stand at just 0.5 percent, the lowest in the developed world.
U.S. and UK holidays on Monday also encouraged investors to scale back on risk heading into the long weekend, boosting the yen and low-yielding Swiss franc. (Additional reporting by Steven C Johnson; Editing by Leslie Adler)