>> @JackRab: Well that sounds very far-fetched, since you're unwilling to back up your bluster...
Well, I didn't want to post the link to the article in the open since I don't want my name easily linked to the drunken ramblings that @zdreg takes great pleasure in re-quoting for me...
>> JackRab: Found it. Why do you think Antonie Kotze is wrong with his paper on delta hedging with futures?
... but with a little detective work it can be found, as you're proving here
Actually he's not "wrong" but using an approximation which he doesn't give in his article but I've deduced it myself based on options math.
When trading options there are two things that matter: the price and the delta, if you do delta-hedging. Same price can have different deltas and his approximation is one of them. Mine is not an approximation but the correct (complete) formula for the case of using futures to hedge stock options.
I've got a draft paper that better explains how it works, with visual simulations and less formulas, which I intended for a trader / finance audience. But I had to strip it down at the request of my math supervisors (which are not very much into the business side of the things and, you may guess, love formulas
). I can send it to you if you've got a mail address (by PM, please no open doxxing).
Well, I didn't want to post the link to the article in the open since I don't want my name easily linked to the drunken ramblings that @zdreg takes great pleasure in re-quoting for me...
>> JackRab: Found it. Why do you think Antonie Kotze is wrong with his paper on delta hedging with futures?
... but with a little detective work it can be found, as you're proving here

Actually he's not "wrong" but using an approximation which he doesn't give in his article but I've deduced it myself based on options math.
When trading options there are two things that matter: the price and the delta, if you do delta-hedging. Same price can have different deltas and his approximation is one of them. Mine is not an approximation but the correct (complete) formula for the case of using futures to hedge stock options.
I've got a draft paper that better explains how it works, with visual simulations and less formulas, which I intended for a trader / finance audience. But I had to strip it down at the request of my math supervisors (which are not very much into the business side of the things and, you may guess, love formulas
). I can send it to you if you've got a mail address (by PM, please no open doxxing).