By Corrie Driebusch And Saumya Vaishampayan 

U.S. stocks advanced Monday, lifted by gains in health-care and financial shares as well as optimism that Greece will eventually reach a bailout deal with its creditors.

The Dow Jones Industrial Average rose 112 points, or 0.6%, to 18128. The S&P 500 index added 14 points, or 0.7%, to 2124 and the Nasdaq Composite Index gained 34 points, or 0.7%, to 5151, after earlier reaching a new intraday high.

The health-care sector gained broadly Monday, with health-care companies in the S&P 500 up 1% in recent trading. The sector rose as a rash of merger and acquisition news broke over the weekend.

Anthem Inc. took its bid to buy Cigna Corp. public, though Cigna on Sunday said it rejected the offer. Cigna and Aetna Inc. are at the same time looking into acquiring Humana Inc., which has privately put itself up for sale. Meanwhile, UnitedHealth Group Inc. recently made a takeover approach to Aetna.

Anthem shares gained 4.3%. Cigna rose 5.6% and Aetna climbed 4.6%.

Monday's move in the sector came as health-care companies in the S&P 500 have risen 26% in the past year through Friday's close, the largest increase among S&P 500 sectors. While strong earnings and revenue have driven the gains, recent buyout deals have also boosted shares.

The pick-up in merger and acquisition activity, as well as a rise in the yield of the 10-year Treasury note, lifted shares of financial companies, traders said.

"The M&A shows capital markets are healthy and people are willing to make moves," said RJ Grant, associate director of equity trading at Keefe, Bruyette & Woods. He added that this sentiment is helping banks and other firms that advise on these deals and make fees on them.

The continued tick-up in yields also boosted shares of banks. On Monday, the 10-year yield rose to 2.344% from 2.268% on Friday. Rising interest rates are expected to boost banks' earnings by allowing them to widen the spread between the interest they charge on loans and what they pay on deposits.

Shares of financial companies in the S&P 500 rose 0.9% in recent trading.

Separately, news out of Greece lifted stocks around the globe. The Wall Street Journal reported that the Greek government's latest plan makes a potentially major concession on cutting deficits in its pension system. The plan was formally submitted to creditors Monday and could be a big step toward ending a monthslong deadlock that has spurred talk of a potential Greek exit from the eurozone. Still, eurozone leaders cautioned that an immediate breakthrough was unlikely.

European stocks rallied, buoyed by optimism that Greece will eventually reach a deal with its creditors. Germany's DAX and France's CAC-40 both jumped 3.8%. Greek stocks surged 9%.

Asian stocks also rose, with Hong Kong's Hang Seng Index adding 1.2%.

The magnitude of market moves in Europe and the U.S. "speak to what the overhang has been over the last month or so as the negotiations continued to deteriorate," said Art Hogan, chief market strategist at brokerage firm Wunderlich Securities. "The contemplation of a messy Greek default and exit from the eurozone and fears of contagion into peripheral countries...may well get moved aside," he said.

Concerns about Greece's financial situation, as well as worries about U.S. corporate earnings, elevated stock valuations and an eventual increase in interest rates have all collided to keep a lid on stock gains this year. The S&P 500 has added 2.5% in 2015, through Friday's close, less than the index's 6% gain in 2014 through June 19.

Sales of previously owned homes increased 5.1% last month from April to 5.35 million, according to the National Association of Realtors. Sales were expected to increase 4.2% in May to an annual rate of 5.25 million, according to economists surveyed by The Wall Street Journal.

In commodity markets, gold futures slipped 1.4% to $1184.90 an ounce. Crude-oil futures fell 0.5% to $59.63 a barrel.

In corporate news, natural-gas pipeline giant Williams Cos. has rejected an unsolicited buyout offer from Energy Transfer Equity L.P. worth $48 billion but is open to other offers. Williams Cos. shares jumped 24%, while those of Energy Transfer Equity slipped 3.6%.

Write to Corrie Driebusch at corrie.driebusch@wsj.com and Saumya Vaishampayan at saumya.vaishampayan@wsj.com

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