TL;DR this is a complex topic - however at the edge, you can always raise interest rates to the point there is a recession/depression. People will stop buying h

TL;DR this is a complex topic - however at the edge, you can always raise interest rates to the point there is a recession/depression. People will stop buying homes, businesses will stop investing, companies will go bankrupt. Once this process continues for long enough and with sufficient magnitude, inflation will stop - this is effectively what happened in the early 80s in the US. There is always a prevailing interest rate which achieves the goal of stopping inflation. The little understood con of interest rate based management of the economy is how much the economy adapts to the interest rate cycle. There are businesses that are less sensitive to interest rates - and there are businesses which can leverage parts of the cycle to benefit from policy depressed rates. It's not necessarily a good thing for the economy to be structured around a policy tool. Note: Just an interested observer of economics - not a trained economist.