Implied Volatility vs Premium

The annualized standard deviation of price returns implied by the current market price of an option, derived by solving the Black-Scholes model backwards from observed market price; forward-looking measure of expected future volatility; distinct from historical volatility which measures past realized movement.

The upfront price paid by the option buyer to the option seller for the rights conveyed by the contract; the premium is the buyer's maximum possible loss if the option expires worthless; composed of intrinsic value and extrinsic (time) value.