As always in such matters, the answer is: it depends (excerpt; emphasis added):
Should Policy Makers in Emerging Markets be Concerned about “Tapering”?
The US and European economies are showing some signs of recovery from the global financial crisis that began in 2008. As a result, the US Federal Reserve Bank is considering phasing out, or “tapering”, the extraordinary monetary policy measures through which it responded to the crisis…The World Bank's East Asia and Pacific regional update estimated that in East Asia alone $24 billion was withdrawn from equities and $35.2 billion from bonds...Financial markets largely recovered once the Fed decided to postpone tapering in September, but there is still nervousness….