But as another day passes without a deal, the prospect of a long shutdown with negative repercussions for the economy is growing.
"I've seen estimates of as much as half a percentage point off [of] GDP [for] each week there is a shutdown – that could delay the recovery, it could delay an acceleration of the stock market in 2014 and it could delay [the Federal Reserve's] tapering," Bob Iaccino, chief market strategist at TopstepTrader.com told CNBC on Thursday.
(Read more: the government shutdown probably kills the 'Octaper')
So far, the failure to break the budget deadlock has had a limited impact on global stock markets.
The S&P 500 has dipped just 0.14 percent over the past five days, while the FTSEurofirst 300 stock index of pan-European shares is down a similar amount and the MSCI index of Asia shares outside Japan is just over 1 percent lower.
U.S. President Barack Obama said on Wednesday that Wall Street should be worried about what is going on in Washington.
Meanwhile, a meeting between Democrat and Republican lawmakers late Wednesday ended with no breakthrough in how to take the budget negotiations forward. Republicans have tied passing a budget bill to delays in key portions of Obama's healthcare law.
(Read more: Sen. McConnell: White House meeting 'unproductive')
"The shutdown did not trigger negative shock waves across the board [on Tuesday] as markets expected the issue to be resolved quickly. However a shift in expectations is taking place," said Mizuho Corporate Bank Market Economist Vishnu Varathan in a note.
"With no clear calendar outlined for the next round of negotiations, there are reinforced speculations that the fiscal overhang may be longer than expected," he said.