* Canadian dollar trades in a range of 1.2071 to 1.2095 * Canada posts a trade surplus of C$594 million in April * Price of U.S. oil falls 0.6% * Canadian 10-year yield hits its lowest in nearly two months TORONTO, June 8 (Reuters) - The Canadian dollar was little changed against its U.S. counterpart on Tuesday as oil prices fell and data showed Canada"s trade balance swinging to a surprise surplus in April. Canada posted a trade surplus of C$594 million in April, as imports fell at a much faster rate than exports amid a major decrease in the trade of motor vehicles and parts, Statistics Canada said. Analysts had predicted a deficit of C$700 million after a revised C$1.35 billion deficit in March. The price of oil, one of Canada"s major exports, was pressured by profit taking and a stronger U.S. dollar , but overall optimism about strong demand recovery kept a floor under prices. U.S. crude prices fell 0.6% to $68.85 a barrel, while the Canadian dollar was trading nearly unchanged at 1.2088 to the greenback, or 82.73 U.S. cents. The currency traded in a tight range of 1.2071 to 1.2095, with investors awaiting a Bank of Canada interest rate decision on Wednesday. The central bank is widely expected to leave its key interest rate on hold at 0.25%. In April, the BoC became the first among Group of Seven central banks to reduce the scope of its pandemic support. Further tapering of its asset purchase program is expected next quarter, a Reuters poll showed. Investors were also weighing reports that Canada is preparing to ease restrictions at the U.S. border. Canadian government bond yields were lower across a flatter curve, tracking the move in U.S. Treasuries. The 10-year fell to its lowest since April 15 at 1.439% before edging back up to 1.445%, down 3.2 basis points on the day. (Reporting by Fergal Smith Editing by Bernadette Baum) Our Standards: The Thomson Reuters Trust Principles.