Wearing a Very Accurate Watch, You Volunteer to Go on a Mission

Wearing a very accurate watch, you volunteer to go on a mission to a black hole in a spaceship that has powerful rockets. You are able to orbit the black hole and stay a little distance outside of the event horizon. Compared to watches on Earth, your watch near the black hole will run:

A) more slowly
B) more quickly
C) infinitely slow
D) infinitely fast
E) you can't fool me, watches near a black hole don't change the pace at which they run