By Dan Strumpf 

U.S. stocks bounced back on Monday from Friday's steep declines, lifted by upbeat earnings news and an announcement of more stimulus from China.

Stocks kicked off the session sharply higher and stuck to a narrow trading range through the afternoon. The Dow Jones Industrial Average rose 202 points, or 1.1%, to 18028 in afternoon trade. The S&P 500 added 18 points, or 0.9%, to 2099. The Nasdaq Composite Index gained 59 points, or 1.2%, to 4991.

The rebound follows a global selloff Friday fueled by jitters over Greece's finances and a batch of subpar earnings reports. But an improvement in the earnings picture Monday, coupled with a recovery in many markets overseas, helped propel stocks from their lows.

Meanwhile, a move from China's central bank to free up about $200 billion for banks to lend drew investor attention across the globe. The People's Bank of China on Sunday announced it would cut the reserve requirement by one percentage point, its second reduction in less than a quarter and the biggest since December 2008.

Traders said the news--aimed at shoring up China's slowing economy--was encouraging to investors here, even as Chinese stocks declined. At the same time, they said Friday's downdraft was sparking interest from some bargain-minded investors.

"People are certainly stepping in and dipping their toe in the water here," said Larry Weiss, head of trading at Instinet. "There is this general sense in the market over the past couple of years that people don't want to miss the rally."

Investors have also been encouraged that earnings reports have largely been "in line with lowered expectations," he said.

The coming week marks a key period in the first-quarter earnings season, with about 30% of companies in the S&P 500 scheduled to report results, according to FactSet

Dim profit expectations have been an obstacle to stocks in recent weeks, with major indexes stalling near their highs last reached in early March. Analysts expect first-quarter profits for S&P 500 companies to fall 4.5%, including the 51 companies that have already reported results, according to FactSet. Market watchers have blamed the expected decline on the stronger dollar and the steep fall in oil prices.

"If you go back just two weeks ago, there was an awful lot of angst and uncertainty about currency effects, about energy, and about how those things would play out when we got into earnings season," said Brian Lazorishak, manager of the $100 million Chase Growth fund. "As we get into the actual numbers, we're hopeful that at least a lot of those effects are either not as bad as feared or, to a large degree, priced in."

Mr. Lazorishak said he has been steering clear of sectors that are set to post weak earnings, such as the energy sector. Instead, he remains parked in health care, consumer and technology companies. "It's stock by stock, but we're seeing more [growth] in those areas."

Morgan Stanley's first-quarter profit and revenue rose, beating Wall Street estimates, as the bank benefited from a stronger environment for deals and trading. Shares rose 1.2%.

Hasbro Inc. shares jumped 11%, posting the biggest rise in the S&P 500, after the toy maker posted better-than-expected revenue and profits, despite negative foreign exchange impact.

Shares of Halliburton Co. rose 2.6% after the oil-field services provider reported revenue and earnings that surpassed analyst expectations.

Gains in European stocks added to the positive tone. Germany's DAX advanced 1.7% and France's CAC 40 added 0.9%. The Stoxx Europe 600 rose 0.8%, after posting its worst daily loss in three months on Friday.

Chinese stocks fell despite the positive news from China. Hong Kong's Hang Seng Index posted its biggest one-day decline this year, while the Shanghai Composite fell 1.6%.

On Friday, the Dow lost 1.5% to 17826.30. The S&P 500 fell 1.1%, to 2081.18, and the Nasdaq Composite lost 1.5% to 4931.81.

Among other shares showing big moves, Merck & Co. stock gained 1% after a study showed positive results for its new cancer drug Keytruda. Merck also said it has filed for U.S. regulatory approval to market its drug as a treatment for lung cancer.

In commodity markets, gold futures slipped 0.4% to $1198.50 an ounce. Crude-oil futures rose 2% to $56.84 a barrel, helping to lift shares of energy companies.

The yield on the 10-year note rose to 1.894% from 1.849% on Friday. Yields rise as prices fall.

Write to Dan Strumpf at daniel.strumpf@wsj.com

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