Yes, that would be the market interest rate based on supply/demand, as any other good. If supply >> demand (a lot of people have a capital they don't know what do to with) then you get a low interest rate, otherwise a high interest rate.
Centrally controlled interest rates are basically price controls. The govt controls the price of money. Even a 5 year old knows price controls don't work, but we can't expect that from the govt.