Although many funds agree some new regulations may be necessary, others say if costs rise support for economic growth could dry up.
Angela Merkel is to seek tighter regulation of hedge funds and other parts of the "shadow banking" sector at the G20 summit which starts in Russia this week.
The German chancellor used her weekly televised message yesterday (Saturday) to say that it was time to push for faster progress - a move which could concern the UK as London is by far the leading centre for hedge fund and private equity operations in the European Union.
"Germany will, along with other countries, exert pressure so that we do not let up in the regulation of financial markets," Ms Merkel said. She added that she wanted a "binding timetable" on new regulatory rules, which could mean higher operating costs for funds.
Although many funds agree some new regulations may be necessary, others say if costs rise support for economic growth could dry up. Meanwhile, the Bank of England's Monetary Policy Committee is expected to keep interest rates unchanged on Thursday.
Economists have suggested the committee may have to agree further quantitative easing if traders fail to heed their warnings about when interest rates will rise.
Last Wednesday, Mr Carney used his first public speech as Governor to warn markets that they were premature in their expectations of when the Bank will start to raise its base rate after years in which it has been held at a record 0.5% low to support growth.
He reiterated that the Bank does not see unemployment falling to 7% - required for such a move under its new "forward guidance" policy - for at least three years, even though market trades have priced in an earlier move.
"The markets have done the opposite of what the Bank hoped for," said Jim Leaviss, a fund manager at M&G Investments. "The Overnight Index Swaps market, which prices expectations of future official rate moves, fully prices a 0.25% Bank Rate hike between two and three years' time."
Mr Carney has suggested markets are too optimistic about how quickly unemployment will fall, but Mr Leaviss said inflation - currently 2.8%, well over the official 2% target - could be a factor behind the activity.
The Bank has said that if inflation looks likely to rise above 2.5% in the next 18 months this would trigger a "knockout" clause to its guidance, and rates could rise earlier.
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