* Stocks hit all-time highs as Fed awaited * Investors expect dovish tone to be maintained * Oil marches to multi-year highs as economies reopen LONDON/TOKYO, June 14 (Reuters) - World stocks climbed another peak on Monday, while U.S. bond yields were near three-month lows as worries of rising inflation abated and investors anticipated the U.S. Federal Reserve sticking to its dovish course this week. The MSCI world equity index and Europe’s STOXX 600 index reached record highs, lifted by the prospect of a broadening economic recovery from COVID-19 and anticipation of dovish monetary policy from central banks. Recovery bets also boosted oil to May 2019 highs. S&P 500 futures meanwhile nudged 0.1% higher, with investors apparently viewing Thursday’s above-forecast U.S. inflation data and surging factory prices in China as temporary or manageable. Goldman Sachs economists said concerns that rising inflation will derail the market recovery or lead to sharply higher bond yields were probably misplaced. “The rally at the moment feels cautiously optimistic. The reality is that I feel it will continue to climb slowly as we continue to see decent data supporting the argument,” John Woolfitt, Director at Atlantic Capital at London, said. Yields on the 10-year U.S. Treasuries stood at 1.4602%, with investors seemingly relaxed about their inflation concerns, which spooked rates in late March. “It is becoming painful for bond bears and I bet the 10-year yield will fall to 1.25% or even 1%,” said Akira Takei, fund manager at Asset Management One, noting that the U.S. economic recovery is likely to slow in coming months. Speculators’ net long positions in U.S. bond futures hit the highest level since October 2017, U.S. financial watchdog data showed. Many investors expect the Fed to repeat its dovish view at its two-day meeting from Tuesday. While some board members have said the central bank should start discussing tapering its bond buying, most investors think a majority still prefer to wait. Markets in Asia were calmer with China, Hong Kong and Australia closed for a holiday. Japan’s Nikkei rose 0.7%, while MSCI’s broadest index of Asia-Pacific shares outside Japan was down 0.2%. Broader markets largely shrugged off the weekend’s G7 meeting, which scolded China over human rights in its Xinjiang region, called for Hong Kong to keep a high degree of autonomy and demanded a full and thorough investigation of the origins of the coronavirus in China. BOUNCY BITCOIN In currencies, the euro has lost steam after the European Central Bank last week showed no willingness to reduce its stimulus and traded at $1.2109, having fallen to a one-month low of $1.2093 on Friday . The yen stood little changed at 109.68 yen, while the British pound changed hands at $1.4108, near the lower end of its trading range over the past month. Bitcoin held on to weekend gains, when Elon Musk flagged Tesla’s possible resumption of transactions using the token. It was last bought at $39,267. Reporting by Thyagaraju Adinarayan in London and Hideyuki Sano in Tokyo. Additional reporting by Tom Westbrook in Singapore; Editing by Kenneth Maxwell, Jacqueline Wong and Alexander Smith Our Standards: The Thomson Reuters Trust Principles.