The stamp duty holiday has finally ended, but how has this tax saving initiative impacted the housing market and what is likely to happen in the coming months?It's been a year since chancellor Rishi Sunak announced a stamp duty cut to 'catalyse the housing market and boost confidence', and boy, did it achieve just that, with house prices and mortgage borrowing quickly hitting record highs after the fallow period of the first lockdown.Originally scheduled to end on March 31, the decision to extend the stamp duty holiday to June 30 was hugely welcomed, enabling homebuyers in England and Northern Ireland to continue to pay no stamp duty on homes priced at £500,000 or below, thus allowing them to save up to £15,000 on their property purchases.As of July 1 however, this saving tapers, meaning that homebuyers now don't pay stamp duty on a home worth up to £250,000. This will continue until the end of September, after which stamp duty rates will return to previous levels.So how will the market fare in this transitional period and beyond? Perhaps a good indicator is to look at borrowing and transactions in April - the month after the stamp duty holiday was originally due to end.Figures from the Bank of England and HM Revenue and Customs show a fall in mortgage borrowing and property transactions respectively for this period. Meanwhile, according to the Nationwide, house prices were up more than two per cent on the previous month, with the extended tax relief prompting a sudden 're-acceleration'.