Before revision:  For "calm" stock prices, C coincides with the Black-Scholes-Merton price and confirms its universal validity without stock price modeling assumptions. Additional results for calm stock : a) show that volatility's role is fundamental in the call's transaction, b) clarify the behaviors of the trader and the call's buyerand c) confirm quantitatively that the buyer 's price carries an exponentially increasing volatility  premium.
After revision:  For "calm" stock prices, C coincides with the Black-Scholes-Merton price thus confirming its validity for various stock prices, ii) the buyer 's price carries an exponentially increasing volatility premium.