* Euro shows few signs of fatigue after two-week rally
* Aussie falls after CPI rises much less than expected
* Rise in euro zone interest rates supports euro
* Dollar further pressured by renewed risk appetite
By Hideyuki Sano
TOKYO, Jan 25 (Reuters) - The euro held firm near a two-month peak on Tuesday, showing only the barest signs of fatigue after a rally in the past two weeks, as climbing euro zone interest rates prompted speculators to bet on further gains in the currency.
The Australian dollar fell broadly after lower-than-expected consumer inflation data reinforced market expectations that Australia's central bank will be in no hurry to lift interest rates, though it cut much of its losses in late Asian trade.
The single currency last traded at $1.3650 <EUR=>, having risen as high as $1.3685, just one pip off a two-month peak marked in New York on Monday.
The move brings into play the next major resistance level, at $1.3742, a 61.8 percent retracement of the Nov-Jan fall, and then the euro's Nov. 22 high of $1.3786.
Underpinning the single currency were growing expectations that the European Central Bank will lift interest rates ahead of the U.S. Federal Reserve, after recent tough talk on keeping inflation in check by ECB chief Jean Claude Trichet.
In contrast, the Fed, more worried about creating jobs, is set to keep a cautious view on U.S. economic recovery after its policy-setting meeting on Wednesday.
That helped to push the yield spread between two-year German and U.S. bonds to its highest level in two years last Friday, at 0.67 percentage point. On Tuesday it remained near that peak, standing at 0.65 percentage point.
Given the euro/dollar's close historical relationship with the yield spread, some analysts say the euro, which is still only around a two-month high against the dollar, has more room to gain in the near term.
The common currency has been persistently supported by robust demand from Asian central banks, which spurred buying from real-money accounts and prompted the speculative market to reverse bearish positions in an abrupt turnaround last week.
Michael Woolfolk, strategist at BNY Mellon, said market flows remained supportive of the euro.
"More generally, investor optimism about euro zone policymakers' determination to continue working toward enhancing the European Financial Stability Facility and finding a longer term resolution to the region's sovereign debt crisis remains in place," he said.
Some market players also said hopes of euro-demand from Asian investors who want to buy EFSF's inaugural bonds due to be launched later on Tuesday bolstered the currency.
The euro was also helped by buying against the Australian dollar, which came under broad selling pressure after Australian consumer prices rose by far less than expected in the last quarter. [
]The euro climbed 0.2 percent against the Aussie to A$1.3700 <EURAUD=R>, edging back towards a two-month high around $1.38 hit on Monday.
The euro fetched 112.50 yen <EURJPY=R>, flat on the day and near a two-month high of 112.91 yen marked on Monday and handily above its 200-day moving average, currently at around 112.20.
Still, after a sharp gain in the past two weeks, which lifted the euro some 6 percent on the dollar from $1.2860 on Jan. 10, some analysts warn the rally might soon lose steam.
"The euro has rebounded after the debt auctions in Spain and Portugal went well earlier in the month. But euro zone periphery countries' growth outlook hasn't really improved," said Seiya Nakajima, chief economist at Itochu Corp.
STAYING SCEPTICAL
Some market players also remained sceptical about the chance of an ECB rate hike, thinking that concerns about highly indebted peripheral euro zone countries could tie the central bank's hands.
Still, as the euro continued to recover, the dollar index <.DXY> <=USD> dangled near a 2-