The first is that it is increasingly problematic to set a narrow range that inflation is always supposed to be within. There are limits to what can be achieved and we are likely to have to live with more variability in inflation. The second is that a strong nominal anchor is more important than ever.
Without a strong nominal anchor, expectations of inflation will adjust when inflation is away from the target range, making it harder to return to target. We will get better outcomes if people are confident that when we get pushed away from the target, we will return to target. The design of the monetary policy framework can help here.