Now, let's also take selling puts and buying puts into the game: Code: Let's say CallDelta=0.55 PutDelta =-0.45 (ie. the complement of CallDelta, but with negative sign) Call_buying --> sell CallDelta, ie. short 55 shares of the stock Call_selling --> buy CallDelta, ie. long 55 shares Put_buying --> sell PutDelta, ie. short 45 shares (?) Put_selling --> buy PutDelta, ie. long 45 shares (?) I think the above one is the textbook definition of delta hedging. IMO it's not correct, because the directions don't make sense: Call_buying and Put_buying should be different in direction of the stock, but they are the same! Same with selling: Call_selling and Put_selling should be different in direction of the stock, but they are the same! So, the textbook definition of hedging, and what most of you have learned about hedging, is IMO probably wrong...
you don't get it, what you write is the initial hedge, not the active delta-neutral hedging in proces ... this last thing derives from the gamma-scalping and that is where you lose your money if you are short the options and make money when you are long the options ...
Hedging does not differentiate between the initial hedging and the rebalancings later; it's always the same one algo. Btw, I have Gamma in no way in the game yet... Just doing Delta-hedging only...
no it's not I just changed my post a little bit to make it more clear your problem is you don't understand gamma ... and how it affects the delta-neutral hedging in proces ...
nope, it doesn't work that way ... you need it both: gamma affects delta ... you can't have one without the other ... that's why you need to read a serious book ... it's not something I can explain here in a few lines ...
I have seen many papers and websites who only demonstrate delta-hedging without any gamma. So what do you say now? If I'm not wrong, then even Black/Scholes/Merton have used only Delta in their classic paper, without any Gamma.
If I had besides Delta also Gamma in my calculations, then I'm sure you and your ilk would come with another factor, another greek, that you would say belongs into the hedging... Come on, I know too well how some of you guys do "function"...