Inflation doesn't "run its course". It picks up speed until it is stopped. Eventually you end up in hyperinflation, when nobody wants to hold cash for any longe

Inflation doesn't "run its course". It picks up speed until it is stopped. Eventually you end up in hyperinflation, when nobody wants to hold cash for any longer than necessary. As a side effect, the government loses the ability to issue bonds, as there will be no new buyers. The only way to prevent this is to make sure interest rates do not stay too low below inflation for too long, and in the end, iterest rates may have to go above inflation to actually get it back down.