November 11th, 2011, 5:59 pm
i don't actually know the answer to your question.. but i would think that if you use the implied vol, you will give some kind of implied greeks and hedging, which would be more conservative, whereas if you use the lower "current realized" (do you mean historical vol/garch over some recent period, or something else?) then you will get a cheaper, riskier hedge position. unless there's a well-known answer to your question that is grounded in some reasonable theory, my guess is that these 2 hedges are 2 alternatives for you to decide between based on your risk-preference. i don't know what the big market-maker banks/traders do, that would probably be an important factor also. i do know that option prices are often quoted in terms of implied vol, so when traders are valuing trades, they are trading based on their idea of the implied vol and not the price.