Sir Charlie Bean said it would be “reasonable” to expect borrowing costs to return to pre-recession levels in the long term - between five to 10 years.
Homeowners have enjoyed a historically low 0.5 per cent base rate for five years but the level has caused misery for savers.
Sir Charlie told Sky News: “It might be reasonable to think that in that long term you would go back to five per cent but it’s probably quite a long way down the road.”
Earlier this week, Bank of England governor Mark Carney urged people to focus on the “big picture” rather than obsessing about when interest rates will start to rise.
It followed accusations that he had been behaving like an “unreliable boyfriend” by hinting at a rise this year, before appearing to back-pedal.
Mr Carney insisted the important aspect for homeowners and businesses was that rates were likely to stabilise at around 2.5 per cent in three years, rather than the historically “normal” level of 5 per cent.
Sir Charlie, who leaves his job today, said market expectations that the first increase in interest rates would come at the turn of the year were “reasonable”.
He added: “The market has rates going up to 2.5 per cent over next three years.
“That seems like a broadly sensible judgment.”
Sir Charlie admitted that in the run-up to the crash, economists were “not sufficiently cognisant of the risks building up in the financial system” but insisted the economy is far more resilient than when he arrived at the central bank in 2000.