Not faster than rent. You can always challenge your property taxes and shop your homeowners insurance. If your rent goes up, you can only move, which isn’t really an option when all landlords are raising rents in lockstep.

Half of American renters are cost burdened, for example.

https://news.ycombinator.com/item?id=43119657

(own my primary US residence free and clear, my housing savings goes into investments, which grow faster than inflation)