5. What's the difference between selling cash-secured put options and selling put options using margin if you have to have the money for buying the stock in both scenarios (in one as cash, and in the other at least in collateral)? Is the only difference an increase in gains and the fact that you can invest the collateral in other ways when using margin?
Yes, IMO the only difference is the effect of leverage thru the use of margin.
Regarding the 2nd part of your question: I could be wrong, but I think one has to differentiate here in to oldschool (now "theory") and current practice at the brokers: as I understand it, brokers force you to use first your own money completely, and only after that gets margin used... I'm not sure if that practice is proper...
And I doubt one can use any part of a margin account as collateral. By this I mean: the moment you sell the put the same moment the necessary amount for buying the stock gets implicitly "locked", ie. you can't use it for anything else, it just has to stay there in case of exercise by the counterparty...
Of course a margin call can happen should the value of the position drop so much that you are at the very limit of your margin acct, then the broker will ask you to transfer more funds, or close some part of this or other position(s)...
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