"We'll see what happens tomorrow (Wednesday) ," said Jack Ablin, CIO of BMO Private Bank. "If they do nothing…to me that's a license to borrow money and buy stocks." Ablin said the markets have been settling into a pattern where the roughly six percent free cash flow yield on the S&P 500 is higher than the 5.8 percent yield on high yield bonds.
"I think the Fed is going to remain mum and continue to keep the pedal to the metal," he said.
The dovish Fed is also expected to help calm markets that are warily watching Europe. Tiny Cyprus Tuesday rejected a plan to put a levy on bank deposits, required to secure a 10 billion euro bailout. The country's parliament rejected the EU/IMF plan to tax bank depositors and new President Nicos Anastasiades is expected to meet party leaders on Wednesday to explore how to move ahead.
German Finance Minister Wolfgang Schaeuble said after the vote that he regretted the parliament's decision, and without a sound foundation, there can be no aid for Cyprus.
Cyprus is also looking to Russia for help, and its finance minister will hold meetings there Wednesday, reportedly to discuss a plan to share in Cyprus energy production and other deals in exchange for a levy on deposits. Many of the country's bank deposits were made by Russians.
(Read More: Don't Count Cyprus Out of the Euro Just Yet: Traders)
Markets reacted to headlines from Europe Tuesday but in a somewhat muted way in the U.S. session. The Dow ended up 3 at 14,455, and the S&P 500 was down 3 at 1548. The yield on the 10-year was lower, at 1.89 percent late in the day.
"What really bothered me isn't so much the move itself, it was kind of the lack of judgment behind the move that bothered me. How they were willing to put the needs of bond holders ahead of depositors," said Ablin. "Really to me, Cyprus is less the story and the question is does this undermine confident that depositors have in all of their respective (EU) banks."
The euro was a big mover, dropping to $1.28, a four month low.
"I think the next few days are going to be very tricky," said John Briggs, senior currency strategist at RBS. Briggs expects the Cyprus parliament to ultimately adopt a plan, and avoid exiting the euro.
(Read More: Cyprus Bailout 'Disaster' Risks New Euro Crisis)
But as for the Fed meeting, it should be status quo. "I think his press conference is going to be calming over anything else," he said.
"I think after (Fed Chairman Ben) Bernanke and (Vice Chair Janet) Yellen a couple weeks ago spent so much effort calming markets, being dovish, and saying they're not flinching on QE, I don't think Bernanke's going to change that message," he said.
Fed watchers believe the Fed will give a nod to the improving economy but some say the Fed might change its forecast due to the negative impact of the sequester, the automatic spending cuts that went into effect when Congress failed to come up with a spending plan. Others expect it to keep its outlook little changed, since the recent economic data has been improving.
The Fed will release its statement and economic forecasts at 2 p.m., with a press briefing by Bernanke at 2:30 p.m.
Besides the Fed, there are a few earnings releases. Fed Ex, General Mills, and Lennar report earnings before the bell, while Oracle, Herman Miller, Jabil Circuit and Tumi report after the bell.