Despite some the limitations, the Black-Scholes model is still popular for calculating the approximate prices of options.
This app calculates the Call and Put price of European option.
Usage: Enter the requested details and tap the button to calculate call or put price.
Report will be generated based on calculations.
Assumptions Used in Black-Scholes Pricing:
The Black-Scholes model is only valid for European options, which can only be exercised on the expiration date. American options can be exercised any time befor the expiration date, which invalidates the Black-Scholes equation. The other assumptions behind the model are:
(1) constant volatility
(2) no dividends
(3) no arbitrage
(4) borrowing and lending money at a known and constant risk-free interest rate is possible
(5) no transaction fees
Volatility in Black-Scholes Pricing
The volatility used in the Black-Scholes pricing model is the standard deviation of the logarithmic returns.