By Tommy Stubbington 

Stocks in Europe rallied Thursday, as investors welcomed the message from the Federal Reserve that it will be patient in deciding when next to raise interest rates and oil prices continued to recover.

The Stoxx Europe 600 index was 1.8% higher midmorning, spurred by a 2.0% surge for the S&P 500 on Wednesday after Fed Chairwoman Janet Yellen broached the prospect of "beginning to normalize" monetary policy.

Despite the hint that rate increases could be on the way next year, investors were reassured by the Fed's cautious language.

"The shift is a signal of confidence in the sustainability of the U.S. recovery," said Ian Williams, economist and strategist at brokerage Peel Hunt.

U.S. stock futures pointed to a further 1.0% gain for the S&P at Thursday's open. Changes in futures aren't necessarily reflected in market moves after the opening bell.

In Europe, stocks extended the rebound that began late in Wednesday's session, boosted by a recovery in oil prices.

The move accelerated Thursday, with Brent crude 2.7% higher at $62.67 a barrel.

The Russian ruble, too, found further respite from its plunge in recent days. The currency had began to recover on Wednesday as the market welcomed measures by the Bank of Russia to shore up the country's banks.

It climbed another 0.7% against the dollar to trade at 62.06.

Against major currencies, Ms. Yellen's message gave the dollar a boost, pushing it to a 10-day high against the euro.

The Swiss franc tumbled after the Swiss National Bank surprised investors by pushing interest rates into negative territory. The SNB's policy of capping the level of the franc has come under pressure with the recent weakening of the euro, pressuring the Swiss central bank to mimic the European Central Bank's policy of paying negative rates on deposits.

The franc fell back from the SNB's cap of 1.20 to the euro by 0.3%, trading at 1.2042.

"Price action over the last few days suggests the SNB might have had to purchase material amounts of euros to defend the 1.20 floor and this may have triggered the move today," said Beat Siegenthaler, a currency strategist at UBS.

Elsewhere, Greek stocks fell following the government's failure to win enough support in the first round of parliamentary voting for a new president on Wednesday, a move that could force the country into snap elections.

Athens' main stock index was down 2.0%.

Write to Tommy Stubbington at tommy.stubbington@wsj.com

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