(Edit 1)
My issue with what you say : I believe options (the derivatives I assume you're talking about) don't start trading till a while after the stock starts trading.
Furthermore, even if they started trading when the stock starts trading, why do you think you have positive expected value to buy the stock and also buy puts? Why not just buy calls?
If either one of these is positive expected value, why do options market makers sell them at the price they do?
Additionally, your talk about the valuation seems trite : you're more likely to make money if you buy at a $50B valuation than if you buy at a $75B valuation is supposed to be informative?
(Edit 2)
Yes, I see your explanation, but you're (again) not really saying anything.