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"Yellen's testimony to the Senate offered few new clues on the path of normalisation. However, there was a subtle change in tone from being on watch for whether, rather than when, the US economy would show clear signs of improvement," ANZ Bank economist Philip Borkin said in a note.
The kiwi is "range bound for now, but the 'Brexit' vote later in the week and opinion polls leading up to it will no doubt shape direction."
In local trading, New Zealand's May migration and tourism figures are released at 10.45am, which will likely show net migration remains strong.
Reserve Bank data on credit card spending at 3pm is also on the radar.
The kiwi rose to 95.45 Australian cents at 8am in Wellington from 95.04 cents yesterday after the release of minutes to this month's Reserve Bank of Australia policy review showed some economic data had beaten the bank's expectations.
The local currency gained to 63.26 euro cents from 62.72 cents yesterday after European Central Bank president Mario Draghi urged policymakers to push through economic reforms to support the eurozone's recovery, and that he was prepared to stabilise markets and provide liquidity if the UK voted to leave the EU.
The kiwi rose to 74.63 yen from 74.09 yen yesterday and advanced to 4.6929 Chinese yuan from 4.6462 yuan. The trade-weighted index increased to 75.68 from 75.40 yesterday.