The Nationwide said that the annual property prices increase had accelerated compared to the 1.6% rise in October, which had been a five-year low.
Prices were up 0.3% month-on-month compared with October, it said.
Robert Gardner, Nationwide’s chief economist, told BBC Radio 4’s Today programme that there was a wide range of ways Brexit could affect the housing market, with a shock hit from a “no deal” still unlikely.
“Our central expectation is the UK will eventually reach a deal with the EU and continue to grow, at a fairly modest pace in the near term with this accelerating as the uncertainty lifts. But we’re prepared for lots of different circumstances,” he said.
However, if uncertainty were to lift in the months ahead and if employment continued to rise, there was scope for housing market activity to pick up through the next year.
Analyst Howard Archer, chief economic advisor to the EY ITEM Club, said that the UK housing market would “remain stuck in low gear over the coming months”.
“Although there are varying performances across regions with the overall national picture dragged down by the poor performance in London and parts of the South East of England,” he said.
“Caution over making major purchases may well be magnified by current heightened uncertainties over Brexit. House buyers may also be concerned about further interest rate hikes over the coming months – even if they are likely to be gradual and limited.”
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