A year ago that figure stood at just 10%.
Now, only 13% of people think house prices will fall. In January 2009 that figure stood at 69%.
Miles Shipside, commercial director of Rightmove, said: "Given the looming election and the talk of pending austerity packages ahead, this consumer survey highlights a surprisingly positive property price outlook."
He added: "The property market is in a virtuous circle scenario, where consumers are seeing less property up for sale and fresh to the market property selling more quickly.
"That rightly gives them the impression that we are over the worst of the recent price falls, and that there is likely to be upward pressure on prices."
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