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For example, Berkshire built quite a large part of the BNSF position by buying $40 call options for $40 each, enough to purchase a meaningful fraction of the firm. I was surprised they could do that.
The market maker will accommodate you, but they will go delta neutral, so they will be buying shares. Big orders, as I mentioned, will move the stock. BNSF as I recall was something like 7.5M shares via options, a lot, but it was q liquid market. I'm thinking something like 100M shares of OXY that would require 1M option contracts. Even if the market makers could handle it, they would have to go delta neutral and that would affect the stock which would make it less attractive as the volumes rise.
I say the best way for Berkshire to go about such a thing would be to gradually do it.
I trade options all the time which have essentially zero volume or outstanding interest other than mine.
Funny that you mention this, just today I sold some puts with zero OI.