June 2 (Reuters) - Gold inched lower on Friday as Asian stocks and the dollar firmed after upbeat U.S. private sector job figures appeared to boost the prospects for an interest rate hike this month. Investors will be looking out for further clues on the outlook for rates in U.S. non-farm payroll data due later in the day. FUNDAMENTALS * Spot gold had dropped 0.2 percent to $1,262.95 per ounce by 0054 GMT. It has fallen 0.3 percent for the week and could register its first weekly decline in four weeks. * U.S. gold futures fell 0.4 percent to $1,265.60 an ounce. * The dollar hit a one-week high against the yen early on Friday and was last at 111.61 yen . * MSCI's broadest index of Asia-Pacific shares outside Japan gained 0.2 percent. * U.S. factory activity ticked up in May after slowing for two straight months and private employers stepped up hiring, suggesting the economy is regaining speed after struggling at the start of the year. * The U.S. Federal Reserve sent a strong signal on Thursday that it would raise interest rates this month and soon begin shedding some of its $4.5 trillion in bond holdings, despite some weak recent U.S. inflation readings. * President Donald Trump on Thursday said he would withdraw the United States from the landmark 2015 global agreement to fight climate change, a move that fulfilled a major campaign pledge but drew condemnation from U.S. allies and business leaders. * Former FBI Director James Comey will testify next Thursday before a U.S. Senate panel investigating Russia's alleged meddling in the 2016 U.S. election, in a hearing that could be difficult for Trump. * British Prime Minister Theresa May's gamble on a snap election was under question on Thursday after the latest opinion polls showed her Conservative Party's lead was dwindling just a week before voting begins. * The European Central Bank will sound a little more optimistic on the economy at its June 8 meeting and could raise its assessment of risks to balanced or begin discussing shift from its bias to ease policy, a Reuters poll of economists showed. * Federal funds futures implied traders saw a 96 percent chance the U.S. central bank would increase key overnight borrowing costs by a quarter point, to 1.00-1.25 percent, at its June 13-14 policy meeting, CME Group's FedWatch program showed. DATA AHEAD (GMT) 0730 EU-China Business Summit with speakers including European Commission President Jean-Claude Juncker and Chinese Prime Minister Li Keqiang 0900 Euro zone Producer prices Apr 1230 U.S. Nonfarm payrolls May 1230 U.S. Unemployment rate May 1230 U.S. International trade Apr 1345 U.S. ISM-New York index May (Reporting by Vijaykumar Vedala in Bengaluru; Editing by Joseph Radford)
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