Man Sees Blood Ooze From Dart-Stabbed Portrait

I'm trying to find a horror movie I saw once, but I just can't remember the title - maybe it's because it was at least 35 - 40 ago when I watched the movie!

All I can remember is the movie starts out with a guy in an office building on one of the top floors. He should be working, but instead he decides to throw darts at, what I think, is the portrait of the company's founder, a stately looking gentleman in a suit. Well, a dart hits the portrait's chest (around where the heart would be) and blood starts oozing out. The guy panics and runs to the elevators. One of the elevator doors opens, he runs into it, but the elevator is not there and he plunges to his death.

Any ideas what this movie might be????