* U.S. stocks rise after steep sell-off; GE shares shine
* 10-year bond yields on euro debt hit 3-year lows
* Oil falls below $49 after touching new 3-1/2 year low
* Euro advances versus U.S. dollar, buoyed by Wall Street (Recasts with U.S. markets, adds byline; changes dateline; previous LONDON)
By Herbert Lash
NEW YORK, Dec 2 (Reuters) - U.S. and European shares rebounded on Tuesday a day after a massive sell-off, while rising government debt prices suggest the fear of a prolonged global recession remains a major concern among investors.
The dollar fell against the euro and a basket of currencies as rising stocks encouraged investors to emerge from the perceived shelter of U.S. assets.
Crude oil hit a new 3-1/2-year low below $48 a barrel before paring losses in response to the transatlantic rally in equities.
Investor sentiment mostly hinged on the performance of equity markets. In Europe, banks recovered after earlier falls and energy shares rose, while on Wall Street investors snapped up beaten-down shares, buoyed by news that General Electric <GE.N> would maintain its high-yielding dividend payment.
GE shares climbed more than 11 percent, making the stock a standout among Dow constituents. The dividend on the stock is yielding almost 8 percent, while earlier GE said it expects profit in the fourth quarter to come in at the low end of a prior forecast.
"People are looking at GE and saying, 'Hey, well the dividend yield is pretty good and they are sticking with their earnings estimates, although it's at the lower end,'" said Cummins Catherwood, managing director at Boenning & Scattergood in West Conshohocken, Pennsylvania.
Before 1 p.m., the Dow Jones industrial average <
> was up 226.83 points, or 2.78 percent, at 8,375.92. The Standard & Poor's 500 Index <.SPX> added 27.39 points, or 3.36 percent, at 843.60. The Nasdaq Composite Index < > rose 45.50 points, or 3.25 percent, at 1,443.57.Optimism about a government rescue for the U.S. auto industry added to the positive tone, with General Motors <GM.N> up 5.7 percent and Ford <F.N> rising 9.4 percent.
Chevron <CVX.N> and Exxon Mobil <XOM.N> were the top two contributors to the Dow. The S&P energy index <.GSPE> was up 11.6 percent. The energy patch is the cheapest S&P 500 sector, trading at a 12-month forward price-to-earnings ratio of 8.4, according to ThomsonReuters data.
The FTSEurofirst 300 <
> index of top European shares closed up 1.9 percent at 825.31 in a volatile session.Banks added the most points to the index, although stocks within the sector were mixed, followed by energy stocks.
Banco Santander <SAN.MC> rose 6.5 percent, Royal Bank of Scotland <RBS.L> jumped almost 17 percent and UBS <UBSN.VX> 5.9 percent.
BP <BP.L> added 2.6 percent, while Royal Dutch Shell <RDSb.L> and Total <TOTF.PA> both gained 2.9 percent.
"We may have touched a bottom at the end of November and we are starting to see a year-end rally, though it is going to be a fairly shallow one. The market is extremely volatile at the moment," said Franz Wenzel, strategist at AXA Investment Managers in Paris.
The benchmark 10-year U.S. Treasury note <US10YT=RR> rose 6/32 in price, driving its yield down to 2.70 percent. The 2-year U.S. Treasury note <US2YT=RR> fell 1/32 in price to yield 0.93 percent.
The euro raced to session highs against the dollar, buoyed by the sharp gains on Wall Street.
"There seems to be reduced risk aversion in the market because of the rally in equities and that has pressured the dollar against the euro and weighed on the yen," said Matthew Strauss, senior currency strategist, at RBC Capital Markets in Toronto.
The dollar fell against a basket of major currencies, with the U.S. Dollar Index <.DXY> down 0.55 percent at 86.541. Against the yen, the dollar <JPY=> rose 0.32 percent at 93.51.
The euro <EUR=> gained 0.72 percent at $1.2716.
Equities were also a driver on oil markets, with crude prices rising with share prices.
"The equity market has been a main input for oil," said Olivier Jakob, of consultancy Petromatrix. "Because the slowdown in oil demand is linked to the global economy -- that's why the correlation is very strong."
U.S. light sweet crude oil <CLc1> fell 33 cents to $48.95 per barrel, after earlier trading as low as $47.36.
Spot gold prices <XAU=> rose $11.70 to $781.25 an ounce.
Asian equities slid overnight. The MSCI index of Asia-Pacific stocks outside Japan <.MIAPJ0000PUS> dropped about 4.5 percent, taking this year's losses to nearly 60 percent.
Japan's Nikkei average <
> tumbled 6.4 percent as the yen's surge added to the pain for the country's big exporters, (Reporting by Ellis Mnyandu, Gertrude Chavez-Dreyfuss and Chris Reese in New York and Kirsten Donovan, Christopher Johnson, Joanne Frearson and Jan Harvey in London; writing by Herbert Lash; Editing by Leslie Adler)