Black Scholes Model Calculator

This calculator computes the theoretical price of European call and put options using the Black-Scholes model with dividends.

1. Enter the required inputs:
   • Current Stock Price (S): The current market price of the underlying stock (e.g., 100).
   • Strike Price (K): The option's exercise price (e.g., 105).
   • Time to Expiration (years): Time until option expiry in years (e.g., 1 for one year, 0.5 for six months).
   • Risk-Free Rate (%): Annual risk-free interest rate as a percentage (e.g., 5 for 5%).
   • Volatility (%): Annual standard deviation of stock returns as a percentage (e.g., 20 for 20%).
   • Dividend Yield (%): Annual dividend yield as a percentage (default is 0).
2. Click "Calculate". The button will process all inputs.
3. View results:
   • Call Option Price (green) and Put Option Price (red) are displayed.
   • A Formula Breakdown section shows the calculated d1, d2, and the formulas used.

Notes:

• All input fields must be filled with valid positive numbers (except risk-free rate, which can be zero).
• Time to expiration must be in years (use decimals for partial years).
• Percentages are entered as whole numbers (e.g., 20 for 20%).
• If an error occurs, a red message will appear below the button.