Good morning/afternoon/evening Ladies and Gents of Statalist,

I'm using logistic regression to predict whether a stock's price will fall drastically in the next period using accounting data.
I've read up on a paper from Gary King that talks about the problems of Logit when the event linked to the binary dependent variable is rare.
But is there any issues you can think of from the opposite? - when an event is common, say... stock price falling/stock price increasing?
Am I right in suggesting that if the event is common the model would need to include more independent variables?

I hope this makes sense, apologies if not I'm a stats novice.
Many thanks in advance,
Ben