LONDON/SYDNEY, Sept 6 (Reuters) - Global shares posted their longest winning streak in three months on Monday, aided by the chance of low interest rates for longer in the United States and talk of more stimulus in Japan and China, while oil slid as the Saudis cut prices for Asian customers. A holiday in the United States made for thin trading conditions but MSCI"s all-country world index (.MIWD00000PUS) gained 0.2%, touching a new record level and on course for its seventh consecutive closing high. In Europe the STOXX (.STOXX) index of 600 European companies was 0.6% higher, inching closer to August record peaks, while MSCI"s broadest index of Asia-Pacific shares outside Japan (.MIAPJ0000PUS) rose about 0.6% overnight to the highest since late July. Japan"s Nikkei (.N225) gained 1.8% to a five-month top, extending a rally on hopes a new prime minister there would bring added fiscal spending. read more Hopes of fresh stimulus from Beijing through fiscal and monetary policy lifted Chinese blue chips (.CSI300) 1.9%. Nasdaq futures inched up 0.3%, while S&P 500 futures were up 0.2%. Investors were still assessing the fallout from the September payrolls report, which showed a much smaller increase in jobs than expected, but also a pickup in wages. read more The latter was enough to nudge longer-dated Treasury yields higher and steepen the yield curve, even as markets speculated over whether the Federal Reserve might not start tapering until later than previously thought. "Employment decelerated sharply in August, with little indication of a pickup in labour supply," said Barclays economist Jonathan Millar. "This puts the Fed in a quandary as it balances risks of a sharp demand slowdown against those of tight supply and inflation." "We still expect the Fed to signal tapering in September, but now expect it to begin in December not November. QE will likely end by the middle of 2022." The rise in U.S. 10-year yields to 1.33% limited some of the pressure on the dollar from the poor payrolls print, though its index still touched a one-month low before steadying at 92.207 . The dollar was changing hands versus the yen at 109.90 , while the euro stood at $1.1868 after hitting a five-week top of $1.1908 on Friday. The European Central Bank holds its policy meeting this week and a number of policy hawks have been calling for a step back in the bank"s huge asset-buying programme, though President Christine Lagarde has sounded more dovish. read more Euro zone sovereign bond yields barely budged on Monday. In early trade, Germany"s benchmark 10-year Bund yield was steady at -0.36%. "We expect the ECB to announce a reduced pace of Q4 PEPP (pandemic emergency purchase programme) at its September meeting on the back of easier financial conditions," said analysts at TD Securities. "All other policy levers are likely to be left on hold, with inflation forecasts revised sharply up this year and next. Communication risks are high, and Lagarde will want to avoid sounding overly hawkish, instead emphasising "persistence"." The prospect of a later start to Fed tapering proved only fleetingly positive for non-yielding gold, which stood at $1,825 an ounce , having reached its highest since mid-June at $1,833.80. Oil slid after Saudi Arabia slashed prices of all crude grades to Asian customers, while leaving prices to northwestern Europe and the United States steady. Brent fell 1.3% to $71.70 a barrel, while U.S. crude lost 1.2% to $68.43.