Isn't the buying and selling of a stock in a hedge fund analogous to an exit? They happen more frequently that deploying capital, but the only big difference is that in a hedge fund you're expected to reinvest that money. So the math is exactly the same as in a PE fund. If a trade or portfolio company tanks, you won't make your performance fee on it.
PE companies also can charge fixed management fees.
PE companies also can charge fixed management fees.