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Not easily, but it's still possible, and probably why they advertise the higher AER.
They probably advertise the higher AER because it's a legal requirement, even if the AER isn't possible in practice, cf. accounts where interest is paid only on the first £x, so interest on the full amount won't compound.
It is actually a legal requirement? Some banks do not quote AER figures, such as Union Bank of India, which is preferable if the AER cannot be achieved, otherwise it's a misleading comparison and defeats its purpose as a standardised metric.
I don't actually know, which is why I say 'probably', but in the example I gave, while the AER can't be achieved on the full allowable amount, it can be achieved on smaller amounts, so it is serving its purpose as a standardised metric.
Your 'probably' was in relation to NS&I's advertising of AER, not AER being a legal requirement. The purpose of my example, re. Union Bank of India not advertising AER on its fixed-term bonds, was to demonstrate a regulated institution being legally compelled to advertise an AER that would be misleading and not fit for purpose, potentially breaking the law whilst endeavouring to remain accurate in its advertising.