Here's the proof that the Black-Scholes-Merton (BSM) option pricing model is WRONG as it creates arbitrage:
https://www.elitetrader.com/et/threads/the-fairput-initiative.349291/page-5#post-5189610
https://www.elitetrader.com/et/threads/the-fairput-initiative.349291/page-5#post-5189610