The moves in the US came on a mixed day for equity markets elsewhere, with London rallying after the Bank of England raised interest rates for the first time in a decade.
Analysts viewed Trump's Fed pick as a non-controversial choice unlikely to radically change the gradual tightening monetary policies that stock markets like.
"Meet the new boss, mostly the same as the old boss," said a note from Barclays.
Powell has echoed the Trump administration's views on bank deregulation, but also supported outgoing Fed chief Janet Yellen's very gradual interest rate increases.
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"There is still a long way to go for the tax reform," said Hugh Johnson of Hugh Johnson Advisors. "There will probably be a significant amount of changes."
"The market is aware of that, but is happy that something at least is getting done in Congress."
The moves come as US investor sentiment remains strong following a run of improving economic data and earnings. Apple jumped 3.2 per cent yesterday in after-hours trading following its earnings report.
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