Ground rents paid to freeholders could also be restricted, under proposals for England.
Banks should publish the frequency of security incidents and the time taken to open an account, the regulator says.
Household debt is rising much faster than incomes, the Bank of England's Alex Brazier says.
Has personal debt been growing?
Why some galleries and artists love digital currencies
Five products hit by shrinkflation
'Three years younger, £15,000 more debt'
Inside the lucrative world of 'the super tutor'
Why your bananas could cost more in the afternoon
Meet the student giving care home residents bike rides