Let me reinforce this point by sharing this quote from Ben Bernanke, Chairman of the Federal Reserve's Board of Governors: The Federal Reserve's mission of conducting monetary policy and maintaining a stable financial system depends upon the participation and support of an educated public. Accomplishing this mission involves tradeoffs and tough decisions.
BIS central bankers’ speeches  Monetary policy has a powerful impact on the incentive structure of market participants and, via this channel, on the cycle in asset prices and monetary aggregates. Since this cycle is propagated via global financial markets, domestic monetary policy inevitably entails international spillovers. Monetary policy geared towards domestic price stability generally supports financial stability.