This is up for discussion. It would create a deliberate confict of interest between restricting price inflation by lowering interest rates, and the unintended consequences of such actions - increasing asset inflation (e.g. property prices and share prices). Asset inflation is good for the wealthy because they hold assets, the poor don't hold assets so lose out - e.g. housing becomes more expensive. This is an example of "predistribution"; rather than allowing assets to rise exponentially and then taxing them, take action to restrict their rise in the first place.

Changed wording to reflect comments.

Changed wording to reflect wording in official remit here: http://www.bankofengland.co.uk/monetarypolicy/Documents/pdf/chancellorletter140319.pdf