By Jack Mendel House prices in the UK remained relatively stable in May on strong wage growth and an improving picture for the wider economy, with interest rate cuts on the horizon. In Halifax’s latest house price index released today, the lender said the average price of a home in Britain was down just 0.1 per cent in May on a monthly basis. It added that the annual rate of house price growth was up by 1.5 per cent, from 1.1 per cent in April. London remained ahead of the country, with the median price of a house nationally at £288,688, compared to the capital which was £536,821, 0.2 per cent…