By Anora Mahmudova and Barbara Kollmeyer, MarketWatch Grantham: Another 10% run and then S&P will crash

NEW YORK (MarketWatch) -- After a five-day spell when the S&P 500 moved by less than 0.1% amid low volumes, Tuesday's lively, trading action amounted to a relative rally for U.S. stocks.

The benchmark S&P 500 (SPX) rose 10.48 points, or 0.5% to close at an all-time high of 2,051.80, marking the 43rd time the index closed in record territory this year.

The Dow Jones Industrial Average (DJI) added 40 points, or 0.2%, to close at a record level of 17,687.82. The Dow has closed at record levels 26 times so far this year.

The Nasdaq Composite (RIXF) outperformed other benchmarks, gaining 31.44 points, or 0.7%, to 4,702.44.

Upbeat housing data, as well as news of a snap election in Japan and better-than-expected data from Germany might have contributed to the micro-rally. But overall optimism is also supported by the fact that global central banks remain highly accommodative, providing liquidity and keeping key interest rates low.

Fawad Razaqzada, technical analyst at FOREX.com, in emailed comments, wrote that investors' insatiable appetite for equities is understandable to some degree because yields are universally so low.

"Although the Federal Reserve has ended its quantitative easing program, some of the other major central banks have expanded theirs, or at least promised to do so if and when needed," Razaqzada wrote.

In economic news, a gauge of confidence among home builders rebounded this month, led by more optimism over present and upcoming sales of single-family homes, according to data released Tuesday.

Separately, U.S. producer prices rose unexpectedly, in October, largely because of a spike in an erratic category that measures profit margins for wholesalers and retailers.

Outside of the U.S., as expected, Japanese Prime Minister Shinzo Abe announced plans to call a snap election and to delay a planned sales-tax hike by 18 months, after data showed Monday the country fell into a recession.

A survey from ZEW showed improved German sentiment on the economy -- a sign the country's fortunes may be turning around, the ZEW institute said.

Running out of steam: The U.S. stock market remains on course to "run deep into bubble territory" before crashing, wrote Jeremy Grantham, co-founder and chief investment strategist of Grantham Mayo van Otterloo, in a quarterly newsletter released Monday. He said bubble territory starts at 2,250 on the S&P 500, roughly another 10% gain from here. (Also see: A turning point for the S&P? http://www.marketwatch.com/story/decision-making-time-for-the-sp-2014-11-17.)

Billionaire investor Carl Icahn told a Reuters conference on Monday that he's also worried about a market selloff, though not for the next three to five years. (Read more in Need to Know http://www.marketwatch.com/story/bone-chilling-temps-put-the-us-and-the-stock-market-in-a-deep-freeze-2014-11-18.)

Mislav Matejka, strategist at J.P. Morgan Cazenove, said in a note dated Monday it has switched to overweight on the eurozone and cut U.S. equity exposure to underweight. Among the reasons: The eurozone has underperformed sharply, and valuations are improving versus the U.S.

Stocks to watch: Biotechnology stocks surged on Tuesday. Shares in Actavis Plc(ACT) continued to rise, adding 8.7%, after the company on Monday said it will buy Allergan Inc. in deal that values the Botox maker at roughly $66 billion.

Urban Outfitters Inc.(URBN) slumped 6.6% after the company reported its third-quarter earnings fell to $47.1 million, or 35 cents a share.

Home Depot Inc.(HD)(HD)(HD) shared fell 2.1%, after the company reaffirmed fiscal-year 2014 guidance and announced earnings per share of $1.15 in the third quarter.

(Read more about the day's notable stocks in Movers & Shakers column: http://www.marketwatch.com/storyno-meta-for-guid.)

Gold jumps as dollar falls: The news from Japan's Abe weighed on the dollar (USDJPY) versus the yen, which sent gold (GCZ4) prices higher by more than 1%.The Nikkei 225 index rebounded 2.2% ahead of the announcements from Japan's Prime Minister.

European stocks and the euro (EURUSD) rose after ZEW report. Oil prices (CLZ4) were little changed.

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