* European stock markets head for fifth day of gains
* MSCI Asia-Pacific index nears 2016 peak, Nikkei up 0.9 pct
* Nerves remain: sterling falls back, yen recovers ground
* Oil prices also down after a big surge
By Patrick Graham
LONDON, July 13 (Reuters) - Stock markets traded within sight of their highest levels this year on Wednesday as the prospect of stimulative economic policy across the developed world eased immediate concern over Britain's vote to leave the European Union.
The swift moves by the Conservative Party that see Theresa May replacing David Cameron as prime minister on Wednesday have helped fund a recovery that, aside from sterling itself, has wiped out the negative reaction to the June 23 vote.
Asian markets outside Japan gained another third of a percent to come within a hair's breadth of the year's highs from April, while European shares rose 0.2 percent, on course for their fifth straight day of gains.
Traders say that concerns over the economic and political impact of what promise to be torturous exit talks between London and Brussels have not gone away, but they are certainly on the back burner for a moment. Expectations that sterling's fall will help British companies has London's FTSE index trading at its highest since last August.
"This is a short term relief rally thanks to some certainty around the swift handover to a new PM," said Tobias Davis, Head of Corporate Treasury Sales at Western Union in London.
"The path ahead still looks incredibly challenging. Equities are only rallying thanks to negative yields across most of the curve in Swiss, German and Japanese markets. In reality, the economic landscape is deteriorating."
Sterling, whose 14 percent fall made it one of the main victims of last month's referendum, hit its highest in more than a week at $1.3340.
But for every blip higher for the pound at the moment there are more sellers ready to bet it will fall further in the months ahead and it quickly fell back to stand 0.2 percent lower on the day at $1.3228.
The yen, investors' go-to currency in times of market stress was also up half a percent against the euro and dollar after falling sharply on the back of Japan's move into another round of stimulative policy.
The debate among currency traders around Thursday's Bank of England meeting is also now not whether it will cut interest rates but by how much -- some measure of the concern over the economy's fate for the rest of the year.
"I'm struck at the enthusiasm of all and sundry to tell us that European and U.S. growth rates will hardly be affected by the UK post-referendum slowdown," Societe Generale's Kit Juckes said in a note to clients.