2.1.6
https://jsfiddle.net/6ttjtuy7/ (Open this link with IE11 please)
alert() properly with all characters including Korean characters.
alert() only English characters which you typed in just before Korean characters.
The v-model looks like 'FREEZE', because after typing some Korean Characters, v-model does not change even if English characters are typed.
I guess it is connected with the Korean IME issue, (https://github.com/vuejs/vue/issues/4330)
But situation here is a bit different. cause this happens only with IE11(not tested in IE11 below, though). Chrome & FF works properly as I intended.
In my opinion, the reason of this issue is 'unfinished compositing of characters'. The difference between C&P / typing Korean Characters is :
COPY & PASTE --> Finishing compositing
JUST TYPING --> Not Finishing compositing
So, please check this out.
I tested on IE 11 with Korean IME and it worked fine. But I may be missing something as I usually never type in any language that uses IME
Sorry, @phanan and I couldn't reproduce the issue on IE11

The picture recorded my test . IE 11 with Korean IME of Windows 10 .
I tested further and it seems there's a bug with IE11: it doesn't fire compositionend when in the middle of writing something and blurring out the input. However, we can listen to blur event to work around its issue.
This can even be done in userland: https://jsfiddle.net/posva/g94vLx3o/
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The picture recorded my test . IE 11 with Korean IME of Windows 10 .