* Dollar index holds steady after gaining on higher yields
* Spreadbetters see lower open for Europe
* Carry trades keep Aussie near 6-mth high vs euro
TOKYO, June 10 (Reuters) - Asia stocks rose to three-year highs on Tuesday on optimism over global growth prospects and a record run on Wall Street, which helped lift Treasury yields and the dollar.
Monetary easing by the European Central Bank last week also has whetted the appetite for riskier assets globally, with an upbeat U.S. nonfarm payrolls report on Friday giving further impetus to investors.
On Wall Street overnight the S&P 500 ended at a fourth straight record closing high and the Dow at its third.
Spreadbetters expected the European equities to take a breather from their recent advances, forecasting Britain's FTSE to open as much as 0.3 percent lower, Germany's DAX down 0.2 percent and France's CAC almost flat.
There was muted market reaction to Chinese inflation data released earlier in the day, as it remained well within the governments' comfort zone, giving room for the government to launch fresh stimulus measures if needed to support the economy.
China's consumer prices rose 2.5 percent in May from a year earlier while producer prices fell 1.4 percent.
"No surprises again from May inflation data. Producer prices stabilised whereas consumer inflation continues to be driven by food prices. The core measure is unchanged, pointing to muted inflationary pressure," said Andy Ji, senior Asian currency strategist at Commonwealth Bank of Australia in Singapore.
"The set of numbers has no implication on monetary or exchange rate policies, in our view."
Recent global manufacturing data have largely highlighted improving economic conditions, with China's exports also showing a bounce in May.
MSCI's broadest index of Asia-Pacific shares outside Japan was up 0.3 percent after touching 493.54, its highest since June 2011. Australian shares rose 0.1 percent.
Tokyo's Nikkei bucked the trend and lost 0.7 percent as profit taking kicked in after it advanced to a three-month high on Monday.
"The week ahead is likely to be a quiet one for emerging market asset prices as the focus shifts to the World Cup," strategists at Brown Brothers Harriman wrote in a note to clients.
"Still, central banks continue to occupy the centre stage after Mexico's surprise cut and Brazil's extension of its forex intervention program last week. Many are looking for the Korean central bank to step up its forex interventions as USD/KRW breaks below the key 1020 level," they said.
The South Korean won strengthened to below 1020 to hit a near six-year peak against the dollar, supported by persistent inflows into the stock market, although participants were wary of official intervention.
The dollar continued to benefit from rising U.S. Treasury yields. The dollar index, which measures the greenback's strength against a basket of key currencies, held steady after rising 0.2 percent on Monday.
The dollar stood little changed at 102.35 yen. The euro was also flat at $1.3587 after shedding nearly 0.4 percent on Monday.
The Australian dollar hovered near a six-month high against the euro as yield hungry investors piled into carry trades.
The euro slipped as far as to A$1.4508, within striking distance of a six-month low of A$1.4508 struck last week.
In commodities, copper steadied after worries about a Chinese probe into metals financing pushed prices to one-month lows in the previous session.
Three-month copper on the London Metal Exchange rose 0.1 percent to $6,680 a tonne from the previous session when it dropped to $6,636 a tonne, its weakest since early May.
Brent crude gained 12 cents to $110.11 a barrel, building on the previous session's sharp 1.3 percent rise made on strong U.S. jobs and improved Chinese export data.
(Additional reporting by the China economics team in Beijing; Editing by Shri Navaratnam & Kim Coghill)