Volatility & advanced strategies
What is the Black-Scholes-Merton Pricing Model and what are its core underlying assumptions?
By Easy Money Scanner · Educational reference · Not investment advice
The short answer
The Black-Scholes-Merton model prices European options using inputs of underlying price, strike, time to expiration, risk-free rate, and implied volatility, assuming continuous trading and no arbitrage.
How it works
Core assumptions include constant volatility, log-normal price distribution, no dividends in the original formulation, frictionless markets with no transaction costs, and the ability to trade continuously without liquidity constraints.
An example
Plugging a $100 stock price, $100 strike, 30 days to expiration, 5% risk-free rate, and 20% implied volatility into the formula produces a theoretical option price.
Risk & limitations
Real markets violate several assumptions (volatility is not constant, trading has costs, prices can jump), so Black-Scholes values are theoretical estimates, not guaranteed fair market prices.
Examples are hypothetical, not trade recommendations. US contract and regulatory references do not automatically apply in Canada. Rules, margin requirements and broker policies can change; confirm them with the relevant authority and your broker.