US stocks had ended higher on Monday, with the Nasdaq closing at a record as hopes grew that a deal would be reached to prevent Greece from defaulting on loans.

Equities have been largely driven by the situation in Greece of late, with investors concerned that if the country defaults on its loans, it may have to leave the euro or the European Union, potentially shaking the region's economic foundations.

Athens had presented new reform proposals which were cautiously welcomed by the eurozone finance ministers on Monday, though the Eurogroup said the proposals required detailed study and that it would take several days to determine whether they can lead to an agreement.

Greece needs fresh funds to avoid defaulting on a $1.8 billion debt repayment to the International Monetary Fund on June 30.

"This takes one anxiety off the table, even if it doesn't yet resolve the primary issues that made investors anxious in the first place," said Bruce McCain, chief investment strategist at Key Private Bank in Cleveland, Ohio.

Sentiment was also lifted by merger and acquisition activity. The S&P energy index rose 1 per cent as the top-performing sector of the day after Energy Transfer Equity LP confirmed it had made a $48 billion unsolicited bid for Williams Companies Inc, hours after Williams rejected the offer as significantly too low.

Shares of Williams surged 26 per cent to $60.90 and were the biggest percentage gainer on the S&P 500 by far.

Separately, Cigna Corp rose 4.8 per cent to $162.65 after the health insurer rebuffed Anthem's $47-billion merger proposal on Sunday. Anthem rose 3.6 per cent to $171.04.

Homebuilders rose as existing home sales grew more than expected in May, surging to their highest in five-and-a-half years. The PHLX Housing index rose 0.9 per cent, while Lennar Corp added 1.7 per cent to $49.49.

Martha Stewart Living Omnimedia slumped 12.5 per cent to $6.11 on heavy volume after Sequential Brands agreed to buy the company in a deal that values it at about $353 million or $6.15 a share. Martha Stewart shares had risen about 37 per cent over two days after news of the deal emerged.

The Dow Jones industrial average rose 104.53 points or 0.58 per cent to 18,120.48, the S&P 500 gained 13 points or 0.62 per cent to 2,122.99 and the Nasdaq Composite added 36.97 points or 0.72 per cent to 5,153.97.

With the day's gains, the Nasdaq ended at a record, while the S&P closed 0.3 per cent away from its own record close. Currently, the S&P trades at 17.3 times earnings, according to Thomson Reuters data, above its long-term average.

"Valuations are somewhat high, but there aren't many alternatives that look attractive,'' said McCain. "Stocks will probably get a lot higher before there's any serious risk of a pullback on valuation.''

Advancing issues outnumbered declining ones on the NYSE by 1,830 to 1,238, for a 1.48-to-1 ratio on the upside; on the Nasdaq, 1,819 issues rose and 988 fell for a 1.84-to-1 ratio favouring advancers.

The benchmark S&P 500 index was posting 51 new 52-week highs and 1 new lows; the Nasdaq Composite was recording 207 new highs and 26 new lows.

About 5.31 billion shares traded on all US platforms, according to BATS exchange data, compared with the month-to-date average of 6.17 billion.

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