The majority of large-cap oil stocks didn’t produce strong gains as oil prices skyrocketed to $147 a barrel earlier in July. That’s too bad because the massive reversal we’ve seen in prices since oil started tanking has resulted in some big bargains.

If the oil stocks didn’t surge amid $100-plus oil they’ve certainly collapsed on the way to $63 a barrel. The fact is most of these big companies are priced for $32 a barrel oil, according to Macquarie Research.

The large cap oil majors now trade at 2004 prices. The entire sector is now off a stunning 55% from their all-time high and just 5% above their recent lows last week.

Even more compelling, the dividend yields on some of the largest companies are in excess of 4% and, in some cases, above 5%. The European oil majors now yield in excess of 5-7%. That compares quite favorably to ten-year Treasury bonds, yielding a paltry 3.7% or risk-free T-bills, yielding less than 1%.

Even if Presidential hopeful Obama wins next Tuesday and increases the dividend tax rate from 15% to 20%, as expected, that still leaves oil investors with a far more attractive tax-adjusted yield. Oil stocks are plain cheap right now.

Another reason to like Big Oil at these prices is the ongoing carnage suffered in the Energy Patch since prices peaked in July. Global sentiment has turned from irrational exuberance to absolute dismay over the last 90 days with oil prices trading at a 17 month low. Investors are redeeming their natural resource equity fund en masse, NAVs have plunged 50% and OPEC’s recent announcement to cut production did nothing to support prices.

Also, oil legend T. Boone Pickens, who made his fortune in oil, is suffering one of his worse draw downs this year. His hedge funds have crashed this fall with losses totaling more than $1 billion dollars. Investors are redeeming as losses continue to mount; one energy dedicated hedge fund has plunged 84% in 2008.

Energy bulls had enjoyed a glorious era of big profits from 2002 until mid-2008. Now we’re in the midst of a serious correction in the energy bull market; some pundits even claim we’re now in a bear market as prices have declined more than 50% since peaking in July.

The best time to buy an asset is when absolute disrepute reigns supreme. Investors have gone from embracing oil at all costs to dumping the energy stocks almost daily since July. It’s been a relentless decline.

Now is the time to start cherry picking the large cap oil stocks at 2004 prices. The large cap oil companies are still flushed with cash, pay fat dividends and should recover over the next 12-18 months as commodities prices finally trough. I like Big Oil.