Black-Scholes Calculator
CalcAiHub's Black-Scholes Model Calculator is a sophisticated financial tool tailored for investors, traders, and students analyzing options pricing. By entering the underlying stock price, strike price, time to expiration, risk-free interest rate, and volatility, our calculator determines the exact theoretical fair value of European call and put options.
What is Black-Scholes? It's a mathematical formula used by traders to find the fair price of a stock option. An option gives you the right to buy (Call) or sell (Put) a stock at a fixed price (the Strike Price) before a certain date.
What the stock is trading at right now
The price at which you have the right to buy/sell
How many days until the option contract expires (30 days = ~1 month)
Usually the 10-year government bond rate — use ~5% for USD, ~13% for PKR
How much the stock typically moves — low = stable (15–20%), high = volatile (40–80%)
Annual dividend the stock pays — enter 0 if non-dividend stock
📊 Black-Scholes Calculator
Calculate the theoretical fair value of stock options using the Black-Scholes pricing model — the industry-standard formula used by professional traders and financial institutions worldwide. Enter five simple inputs and get instant Call/Put prices plus all five Greeks.
💡 Why Use It
Knowing the theoretical price of an option lets you identify overpriced or underpriced contracts in the market. The Greeks help you understand your risk exposure and how your position changes with market movement, time decay, and volatility shifts.
📊 What You Get
Call and Put option prices, intrinsic and time value breakdown, option moneyness indicator, and all five Greeks — Delta, Gamma, Vega, Theta, and Rho — each with a plain-English explanation of what it means for your trade.
🚀 Get Started
Enter the current stock price, your strike price, days to expiration, risk-free interest rate, and implied volatility — then click Calculate Option Price.