Quote from tplast:
Yes, it is driven by perceptions and demand but don't confuse statistical volatility with implied volatility. SV is how volatile the underlying has been in the past. IV is implied from the price.
For example, letâs say that the option pricing model is:
Price = IV + 1
If the price is 4, you know that IV is 3. Also, if you know that IV is 3, you know that the price is 4.
If more people start buying the option, the price will go up. If you enter the new price into the model, youâll get a higher IV.
SV doesnât have anything to do with the price directly. Were it comes to play is to keep the expectations in check. For example if SV is 6 and people start bidding IV to 8, eventually more people will start feeling that IV is overpriced and start bringing it down to 6.
Of course, in the real model, other factors such as movement of the underlying, time to expiration, interest rates and dividends are also inputs that affect pricing. But IV is the only non observable input, which can only be derived from price.