Exxon shares have been the most stable among those of the big energy firms, down only 6% over the past 12 months. In contrast, its 2% yield is the lowest among the integrated giants. But, given the company's powerful financial position, bulls argue that it's likely to boost its payout, after having emphasized repurchases in recent years. Exxon spent $26.9 billion in 2008's first nine months, shaving its total of outstanding shares by 5.5%, to roughly five billion. The company has repurchased more than 2 billion shares over the past decade. If the buybacks were to continue apace, Deutsche Bank analyst Paul Sankey has quipped, ExxonMobil could be a private company by 2020.

Unexpected shutdowns in Africa and the North Sea cut production last year, but European refining margins were up 88% in the third quarter alone. With low-cost production in Africa (the source of 42% of Total's earnings before interest and taxes, according to S&P), and rapid expansion in the Middle East, Total should thrive if oil prices stay at current levels or rise. The French major had $17 billion in cash at the end of the third quarter. S&P has a 12-month target of $92 on the stock, double the current price.

In recent years, BP has blitzed consumers with clean-energy ads and expanded its natural-gas operations, especially in the U.S., where last fall it agreed to pay $3.7 billion for some of Chesapeake Energy's shale assets. But oil still looms large in the company's fortunes, and its earnings are likely to be hurt in the near term by low crude prices in Russia, where a joint venture accounts for about a quarter of production. In addition, profits could be squeezed by the restructuring of BP's considerable refining operations, including its Texas City, Texas, operation, the third largest in the U.S. Chief Financial Officer Byron Grote has said that BP's $3.36-a-year dividend isn't endangered, assuming oil stays in the 40s. Investors obviously are skeptical, however; the company's shares are off about 11% this month.

This Brazilian energy concern's shares have fallen about 50% in the past 12 months. While considerably smaller and less diverse than some of the other integrated outfits, Petrobras has crashed the Big Oil party because of a huge discovery under salt deposits deep off the coast of Brazil. The costly project will take years to come to fruition, and some analysts contend that it might be viable only if oil fetches $60 a barrel; the company says the real figure is closer to $40. The uncertainty over this important discovery makes Petrobras more of a gamble than ExxonMobil, Total or BP, especially since it sells at a higher valuation than any of them. In addition, the Brazilian government, which controls about a third of Petrobras shares, has encouraged the company to return more profits as dividends. Petrobras now yields 3.7% -- a number that's likely to rise slightly this year. One possible drag: higher taxes on oil profits by the Brazilian government. As for Petrobras stock, Deutsche Bank cut its target to 35 in December. But that's still well above the recent 24.29.

Natural gas has become a more attractive fuel because it burns relatively cleanly and can be transported easily in liquefied form. Royal Dutch plans to double its liquefied natural-gas capacity by 2010, according to S&P. That includes a large Russian LNG project to be completed this year. Offsetting this is that, if oil prices don't rise from current levels, profits will fall at Royal Dutch's high-cost Canadian oil sands operations. In January 2004, before Royal Dutch Petroleum and Shell were unified under one U.K. parent company (resulting in a confusing batch of tickers), Shell was forced to remove billions of barrels of "proven" reserves from its books, resulting in huge financial restatements. Criminal investigations yielded nothing, and the whole mess is history, but its legacy endures in investors' skepticism about Royal Dutch's management. That might change a bit after the company's well-regarded chief financial officer, Peter Voser, takes over as CEO this year. Royal Dutch Shell's A shares, which underlie its most active American depositary receipts, carry the lowest multiple among the big oil stocks, even though the company has more than $8 billion in cash and offers a nearly 7% dividend yield.

This company, whose stock could rally as its low multiple attracts investors, has the highest exposure among the super-majors to the North American natural-gas market. It also has one of the most capital-intensive portfolios among the U.S. integrated energy outfits. Unless natural-gas prices this year exceed $7.50 per million British thermal units, well above the current $4.70 or so, the stock has only modest potential upside this year, writes JPMorgan analyst Michael LaMotte, who has a 12-month price target of $53. The shares now are in the high 40s.

Shares of this company, which acquired Unocal in 2005, held up relatively well in 2008; they're down 14% over the past 12 months. LaMotte upgraded the stock earlier this month to Overweight, saying that with a higher percentage of crude production, compared to Exxon or ConocoPhillips, Chevron "can move more than the peer group on crude-price movements." While it has far-flung exploration and production projects, from those on land in Saudi Arabia to deepwater Nigeria, it also is searching for oil in deep areas of the Gulf of Mexico, where hurricanes hurt production last year. LaMotte has a target price of $95 on the stock, for an upside of 36%. Not everyone is a fan of this stock, however. After Chevron released an interim fourth-quarter report showing that refining margins were down, Credit Suisse lowered its earnings estimates, reiterated its Neutral rating and maintained its $68 price target. The shares were around 70 at midday Friday.