The effect of a Brexit vote on house prices in the East of England
Before entering the "purdah" period before the upcoming referendum, HM Treasury published a report estimating the impact of a Brexit vote on GDP and on UK house prices, both nationally and regionally. They estimate that in the "shock scenario", GDP would fall by 3.6% after two years, and house prices would fall by 10% when compared to the effect of voting to remain in the EU (assuming that after a remain vote, house prices would continue to follow the Office for Budget Responsibility's current projection).
The report presents HM Treasury's view that in two year's time, in the East of England, a Brexit vote would mean a loss in value of £37,000 for the average house.
Source:
"Regional output and house price impacts from leaving the EU", HM Treasury, 26th May 2016