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MELBOURNE, April 7 (Reuters) - Australian shares rose 0.37 percent on Thursday, as a cautious tone by the Federal Reserve and rising oil prices underpinned risk assets. S&P/ASX 200 index .AXJO climbed to 4,964.10 at the close of trade. The benchmark rose 0.4 percent on Wednesday as it bounced from one month lows.
New Zealand's benchmark S&P/NZX 50 index .NZ50 rose by 0.3 percent or 21 points to finish the session at 6755.23, flirting with but falling shy of a record high reached on Tuesday.
(Melanie Burton; Editing by Simon Cameron-Moore)