Jon P. answered 03/26/15
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I assume you meant Barnard's Star?
Not many people know the answer by heart, but I was able to find it on the internet: 10.3 arc-seconds per year.
You should get used to using the internet as a reference source for answering questions like this. There's a lot of stuff on the internet that you don't want to trust, but when it comes to questions of fact like this, you can generally rely on what you find.