Quote from total_keops:
To the OP,
you would need to use a stochastic volatility + jump in price and jump in volatility pricing model. If you ask, you can't understand the math involved I guess. Black Scholes with a good volatility estimate is not the answer, you may got on it by luck.
Just think that MM are not as clueless as we are. So, the price must be fair and on average, they make money. If your talking about a specific ER on a specific stock at a specific price forget the math and the FV, it's a bet.
Everything in trading is a bet.
