@smallfil, I can see your posting only if I'm not logged in, ie. maybe you have me on your ignore list. Re your interesting thoughts: you are correct, but if you do it right as option writer (and this is not easy or obvious) then you can define in advance your risk up to the decimal percent point! (depending on the available strikes, but even w/o this, one can still adjust to the desired risk% level by waiting until DTE/IV/spot fits). This can be done especially with a Collar (ie. a Covered Call + Long Stock = Short Call + Long Put + Long Stock; strike of Put should be <= that of Call; s.a. https://en.wikipedia.org/wiki/Collar_(finance) ), but there are also other option constructs (especially spreads) where as an options writer one can in advance define the risk.
I love American style. Read up on dividend capture strategy. It's almost as good as the fair put strategy.
More info: https://www.investopedia.com/terms/a/assign.asp " ... Not all options contracts will be exercised or tendered. The ones that are exercised or tendered must be settled with the delivery of the underlying security. These are randomly assigned to brokerages that, in turn, randomly select which of their clients will be assigned. During an assignment of options or futures contracts, the clearinghouse assigns an option writer who will be the required buyer or seller of the underlying contract upon its exercise. ... "
Just dump those options that you don't want to be assigned on before expiry. Surely the fair put can identify them?
Using some new math that Black Scholes didn’t think of, I can avoid assignment especially for options that are deep in the money.
Too bad you haven't grasped the problem nor the thread... ...because assignment can happen any day, you just can't know when it's going to happen. What you talk of is the European style options, not American style. The majority is AS.
When you get bored look at a few years back in threads, there is some knowledge on this. There are big boys on this forum who have figured it out, and their size is vast so brokers let them get out of assignment, and the broker just eats the difference.