(Adds Alstom; updates with closing levels)
* FTSEurofirst 300 up 0.6 pct, Euro STOXX 50 up 1.1 pct
* EDF's plunge takes 3.8 bln euros off its market value
* Alstom tumbles after GE unveils new offer
* Peugeot's short-covering rally continues
PARIS, June 19 (Reuters) - European stocks rallied on Thursday, with one blue-chip index near a six-year high, after the U.S. Federal Reserve signalled that over the long-run interest rates would be lower than it had previously indicated.
Bucking the trend, shares in French utility EDF sank 7.7 percent after Energy Minister Segolene Royal said a five percent tariff increase scheduled for Aug. 1 would not be applied.
The drop wiped out 3.8 billion euros ($5.2 billion) in market value - more than half the price of the latest-generation nuclear reactor EDF is building in Flamanville, France.
"The market is edgy because these comments are considered as inconsistent with communication to date and undermine the confidence in the regulatory visibility on EDF, which should be entitled to cover its costs," Societe Generale analyst Vincent Ayral said.
Also losing ground, shares in France's Alstom fell 6 percent after U.S. conglomerate General Electric reshaped its offer for Alstom's power assets.
The FTSEurofirst 300 index of top European shares ended 0.6 percent higher at 1,395.58 points. The euro zone's blue-chip Euro STOXX 50 index added 1.1 percent to 3,314.80 points, a level not seen since mid-2008.
Late on Wednesday, the Federal Reserve said the U.S. economy continued to recover and hinted it would raise interest rates slightly more next year than it had projected in March. But the central bank also lowered long-term projections for interest rates, evidence of diminished expectations.
"The overall tone was pretty dovish and the forecast for economic growth seems lower than expected, which is good for equities. Central banks continue to drive markets big time," David Thebault, head of quantitative sales trading at Global Equities, said.
Banking stocks were among the top gainers, with France's Societe Generale up 1 percent, Italy's UniCredit up 1.3 percent and Spain's Banco Santander up 1.6 percent.
The Euro STOXX 50 Volatility index, Europe's main "fear gauge", tumbled 8.4 percent to 12.7 - a level not seen since 2006.
The index, called VSTOXX, is based on put and call options on the Euro STOXX 50. It measures the cost of protecting stock holdings against market corrections and usually moves in the opposite direction to cash equities.
Around Europe, UK's FTSE 100 index climbed 0.4 percent, Germany's DAX index added 0.7 percent, and France's CAC 40 gained 0.7 percent.
Another big gainer was French car maker PSA Peugeot Citroen , rising 5.4 percent to near a three-year high. Bullish comments from the company's chief financial officer at an Exane BNP Paribas conference fuelled the rally and sent hedge-fund short sellers scrambling to close bets the shares would fall.
"Peugeot is a nice recovery play," Isabelle Enos, deputy head of asset management at B*Capital, said. "The group's recent capital increase went smoothly, there's now much more visibility on governance and shareholding structure, and the icing on the cake is the recent pick-up in car sales in Europe."
Earlier this year, Peugeot was among the most shorted stocks across Europe, with nearly 20 percent of the company's shares out on loan in February. But the level dropped to 4.3 percent this week, according to data from Markit, while the stock price has surged 40 percent since February.
Short selling - a trading strategy popular with hedge funds - involves borrowing a security and selling it, betting that the price will fall. Short sellers then buy it back at a lower price and return it to the lender, pocketing the difference.
Europe bourses in 2014: link.reuters.com/pap87v
Asset performance in 2014: link.reuters.com/gap87v
Today's European research round-up
(additional reporting by Alexandre Boksenbaum-Granier in Paris and Alistair Smout in Edinburgh; editing by Jane Merriman and Keiron Henderson)