Options Calculator
Calculate option prices and Greeks using the Black-Scholes model. Analyze how Delta, Gamma, Theta, Vega, and Rho change with different market conditions.
Example: 0.25 for 3 months, 0.083 for 1 month
Option Price
$4.61
Intrinsic Value
$0.00
Time Value
$4.61
Delta
0.569
Price sensitivity
Gamma
0.0393
Delta sensitivity
Theta
-0.0287
Time decay/day
Vega
0.196
Volatility sensitivity
Rho
0.131
Interest rate sensitivity
Maximum Profit
Unlimited
Maximum Loss
$4.61
Breakeven Point
$104.61
Option Price: Theoretical option value
Understanding Options and Greeks
Options are financial derivatives that give you the right, but not the obligation, to buy (call) or sell (put) an underlying asset at a specific price before expiration.
The Greeks Explained
- Delta: Measures how much the option price changes for a $1 change in the underlying price
- Gamma: Measures how much Delta changes for a $1 change in the underlying price
- Theta: Measures how much the option price decreases each day due to time decay
- Vega: Measures how much the option price changes for a 1% change in volatility
- Rho: Measures how much the option price changes for a 1% change in interest rates
Black-Scholes Model
The Black-Scholes model is a mathematical framework for pricing European options. It considers the current stock price, strike price, time to expiration, risk-free rate, and volatility to determine the theoretical option price.