If it is traded out of Pokemon Yellow, Pikachu becomes a normal Pikachu (except it will be holding the Light Ball). By this I mean it will be able to evolve, which it can't do in Yellow, and it won't be out of its pokeball, etc. Because of this I think that its Hidden Power will randomly depend on its IV's, and so could be anything.
Having said that, I couldn't find an actual source saying that, so I am happy to be proven wrong if someone else did find a source.
Hope I helped.