You asked
Please provide the formula for calculating household projections.
We said
Thank you for your Freedom of Information request regarding the methodology for household projections.
We published a paper on the 20 June 2018 called 2016-based household projections for England: changes to methodology which should provide the information you request.
This paper is similar to the article Population Projections Unit published about the subnational population projections (SNPPs) methods in January. Mid-year population estimates and SNPPs are key inputs to the household projections.
If you have any further questions please do not hesitate to contact us on pop.info@ons.gov.uk.