* World stock index back in black year-to-date
* Dollar weaker
* Wall Street set to open flat
By Jeremy Gaunt, European Investment Correspondent
LONDON, March 8 (Reuters) - Easing fears about the U.S. economy and European debt buoyed world equity markets on Monday, extending a rally that has taken many bourses into positive territory for the year.
Wall Street looked set to open flat after a big jump on Friday.
MSCI's all-country world stock index <.MIWD00000PUS> was up half a percent, driven by strong performances in Japan and emerging markets. European shares were flat to higher.
The world index was in the black year-to-date for the first time since January, apart from a brief blip on Friday.
Friday's U.S. data -- showing employers cut fewer jobs than expected last month and that consumers showed signs of shedding their penny-pinching behaviour -- lifted sentiment.
Worries about Greek and other peripheral euro zone economy debt were also calmed by a series of weekend comments by politicians and policymakers.
French President Nicolas Sarkozy promised on Sunday that euro zone countries would help Greece if its financial problems worsened and vowed a crackdown on market speculators. [
]The cost of insuring Greek sovereign debt fell and the yield spread between Greek bonds and benchmark German Bunds narrowed.
"The market is a little more positive, buoyed by what happened in the United States on Friday with the non-farm payroll figures," said Justin Urquhart Stewart, director at Seven Investment Management.
"There is also a view that, while Europe has not resolved its problems, the worst of what has happened to Greece has passed for the moment ... but that is not to say it cannot come back."
Japan's Nikkei <
> gained more than 2 percent to close at a 6-week high. Europe's FTSEurofirst 300 < > was flat, following six consecutive sessions of gains, but blue-chip European shares gained < >.
SUPPORT FOR GREECE
Bond traders were digesting the statements of support for Greek debt from Sarkozy and others, with euro zone debt generally cheaper on the back of positive stock sentiment.
The five-year credit default swap (CDS) on Greek government debt fell to 281.6 basis points from 296.2 bps at the New York close on Friday, meaning it now costs 281,600 euros per year to insure an exposure of 10 million euros of Greek debt.
The Greek/German 10-year government bond yield spread narrowed to 284 bps from 290 bps at Friday's settlement close and was well off a euro lifetime high of above 400 bps hit in January.
The yen and the dollar fell as the above-forecast U.S. jobs data was seen boosting the prospects for a global economic recovery, lifting investor demand for risk and higher-yielding currencies.
The euro also gained after the supportive comments on Greece.
The euro <EUR=> was up 0.2 percent at $1.3650. The dollar index <.DXY> was 0.1 percent lower at 80.347.
Data showed currency speculators cut by more than half their long bets on the U.S. dollar in the week to March 2. [
].(Additional reporting by Joanne Frearson; editing by John Stonestreet) (To read Reuters Global Investing Blog click on http://blogs.reuters.com/globalinvesting; for the MacroScope Blog click on http://blogs.reuters.com/macroscope)