By Anora Mahmudova and Carla Mozee, MarketWatch

U.S. 10-year Treasury note yield drops below 2%

NEW YORK (MarketWatch) -- U.S. stock futures dipped in and out of positive territory on Tuesday, a day after a brutal selloff, but a continuing slide in oil prices could keep gains in check during Wall Street's trading day.

Futures for the Dow Jones Industrial Average (SPH5) were flat at 17,447, after falling and rising earlier, and those for the S&P 500 index (SPH5) were unchanged at 2,015.40. Futures for the Nasdaq 100 (NDH5) slipped 2 points to 4,160.

On Monday, U.S. stock markets took a battering as crude-oil prices slid again and as the dollar (DXY) surged. The S&P 500 marked its biggest one-day loss in three months, falling 37.62 points, or 1.8%. The Dow (DJI) also had its worst down day since October, dropping 331.34 points, as 28 of its 30 components closed lower. The Nasdaq Composite (RIXF) fell 1.6%.

"One would question whether this is 'Turnaround' Tuesday or simply a pause before the next leg down," said Brenda Kelly, chief market strategist at IG, in emailed comments. "The plunge in equities yesterday was unexpectedly extreme, so we may be witnessing some profit-taking and an element of bargain-hunting."

Overall, "we are still in a low-interest-rate environment, and as has been the case for the past few months, risky assets provide a yield that cannot be gleaned elsewhere," she wrote.

Crude-oil prices extended losses on Tuesday, with U.S. oil futures (CLG5) down 2.5%, trading just below $49 a barrel. Brent futures were down 2%, but off intraday lows.

"The economic conditions that oil faces continue to be aggressively against the commodity, making buyers extremely hesitant to even consider entering long positions," said Jameel Ahmad, chief market analyst at FXTM, in a Tuesday note. "There are also suspicions that as oil companies struggle to adapt to lower profits, there could be mergers and acquisitions taking place in the future, and this will weigh on investor sentiment. What's the answer to this equation? Bearish moves for oil."

Investors will get a look at activity in the services sector when the Institute for Supply Management releases December data at 10 a.m. Eastern Time. ISM's manufacturing index, released Friday, showed a slowing in U.S. activity. A report on factory orders in November is also due at 10 a.m. Eastern.

There are no Federal Reserve speakers scheduled for Tuesday, ahead of the release Wednesday of minutes from the Federal Open Market Committee's meeting in mid-December. But the key data event this week is the U.S. monthly jobs report for December, due Friday.

Stocks to Watch: Verizon Communications Inc. (VZ) has approached AOL Inc.(AOL) about a possible acquisition or joint venture, Bloomberg reported Monday, citing people with knowledge of the matter.

Cyberonics Inc.(CYBX) shares fell Monday evening after the medical-device maker said an appeals board supported a 2007 decision by the Centers for Medicare and Medicaid that denied coverage of the company's pacemaker-like device for treating depression.

Coach Inc. (COH) shares were up in premarket trade Tuesday after the company said it's buying luxury footwear brand Stuart Weitzman from private equity firm Sycamore Partners, in a deal valued at up to $574 million.

Nielsen N.V. (NLSN) shares slumped after financial-news network CNBC said it will no longer rely on the TV-ratings specialist to measure its daytime audience, beginning later this year.

(Read more: Movers & Shakers column http://www.marketwatch.com/story/cyberonics-micron-shares-in-focus-tuesday-2015-01-06.).

Other markets: Meanwhile, the yield on the 10-year Treasury fell below 2%, to 1.99%, according to Tradeweb. Yields have been hitting lows not seen in almost two years, discounting the mini flash-crash in mid-October, indicating investors are looking to bonds as a safe haven.

In Asia, the Nikkei fell 3% to post its biggest one-day loss in nearly 10 months, and Indian shares plummeted 3.1%, the steepest loss since September 2013. European stocks turned higher, pushing back from a loss that followed a clutch of lackluster economic data.

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