I appreciate what you are saying, there is some good discussion here. FYI I've never been to a seminar and none of the books I read recommended any trading strategy (they were all just straight options info). I do understand the math though I am expressing it in more basic terms. We don't disagree on any fundamentals.
There is absolutely different levels of accuracy in the forecast. It's not just price up vs price down. You have to be more accurate in your forecast with ATM than DOTM. I think that's pretty self explanatory as it's much easier to forecast within 1 month SP will not drop below say 1850, than for you to say it will stay above 2020. So yes, a forecast of prices can have different accuracy, and you certainly need more accuracy to make money with ATM put. As you said, that is option basics and as OptionGuru pointed out that's why the ATM put sells for a lot more.
Yes there is such a thing as theta working for you. The higher Theta in your position, the more profitable your position will become each day if market does not move against it (i.e flat or rebounding in the case of our puts). In the ATM scenario, Theta is next to nothing once the put goes ITM. In the OTM scenario, if the market moves against you, the theta increases. Now obviously if you hold to expiry the ITM theta will jump in the last week or so. But let's assume we don't hold to expiry (which I basically never do and maybe that's why we have such different views), then the position with OTM puts recovers even if the market does not. The ATM position now ITM needs the market to go all the way back up to BE.
It would be helpful if you can explain how far ITM your ATM put goes before you close it at a loss? And do you open a new one at that point to make up for that lost premium? I understand if you don't want to share your specific strategy, but if you do it would be good to compare this in some of the scenarios from 2015 and 2008 to see how ATM vs OTM would have fared.
I would really love to prove to myself that ATM is better. I trade full time professionally so I don't care if it takes 1hr a day or 6.5hrs to manage it....
Appreciate the discussion...
This is challenging because your knowledge of this appears to be constrained. Honestly, I think excel would work best. I think if you see real numbers at least you have something to go on. You keep referring to theta gains which don't exist, again theta is a 2nd derivative. It takes the change in price relative to the change in time respect to time. You are not "earning" that. You are exchanging that for risk. Then you keep talking about "making up lost premium". I don't even know what that is. If I buy crude oil and I lose money my next trade is not an attempt to "make that back". This is not a game guys. If I lose money on oil, then my next trade in gold or apple or google or the ES is just that, the "next" trade with it's own unique set of circumstances. I don't double down or roll out and hold on for dear life and hope the trade works.
Let me say this to you, if you trade professionally none of this is hard to do in excel. Just create the two positions and use the random number generator in excel and run the positions out. The main complicating factor here is margin. When the shit hits the fan both IB and TOS are going to spike your margin. You are going to get margin calls. So even if you have "balls of steel" you won't be able to hold on. You will paying 20.00 for puts you sold for .50. I should say your broker will be paying that because it will be out of your hands once the margin call gets issued.
And keep in mind, I'm not speaking about better in terms of expectancy, better meaning easier to hedge. Both trades require you to have a technical ability to model volatility or price in some capacity. You HAVE to have this skill. You cannot arbitrarily trade options willy nilly with no regards to value. That is absurd.