In fact, take a look at other advanced economies - very low interest rate policies since the onset of the global financial crisis:
Inflation is a risk in some emerging markets and policy interest rates have tended to remain some way higher:
A new era?
In short, the defence against excessive monetary stimulus is to hold income-producing assets which represent a good inflation hedge - shares and well-located property. There is a lot of focus on whether share markets are 'higher' or 'lower' than where they were 5 years ago. Some markets, such as the S&P 500 are at 'record highs'; the ASX 200 (XJO) index chart in Australia sits below where it was before the financial crisis: