Would it be smarter to go the future and come back to buy stocks from the next Apple-Google-Facebook, or go to the past and buy early Apple stock?
Of course, it would probably be easier to pull off the second approach (a-la back to the future 2) than the first, since opening a brokerage account in time -15 would likely cause unwanted contact with your past self.
You also run a chance of your past self discovering your plan and fooling about with it in time -14.9 - 0. I guess that lowers your expected value by a figure that depends on your probability of being caught.
At the end of the day, it's probably less of a headache to just buy an index fund.