Professional-grade Black-Scholes analysis for call and put options
Calculate theoretical option prices and Greeks using the Black-Scholes model. Professional tool for call and put option analysis.
Current underlying market price
Option execution price
Time remaining until expiration
Expected market volatility
Annual interest rate
Based on Black-Scholes Model
Intrinsic Value
$0.00
Time Value (Extrinsic)
$3.33
Change in option price per $1 move in stock
Rate of change in Delta per $1 move in stock
Daily time decay of the option price
Change in price per 1% change in volatility
Change in price per 1% change in interest rates
Represents the 'probability' of the option expiring in-the-money.
The 'silent killer' for buyers—how much value the option loses each day.
Crucial during earnings—high volatility increases option premiums.
Avoid buying OTM options with very low Theta—they decay rapidly.
High Implied Volatility (IV) often means options are 'expensive'.
Sell credit spreads to benefit from Theta decay in neutral markets.
Options trading is a powerful tool for hedging risk and leveraging market moves. Understanding the Black-Scholes model and the Options Greeks is essential for professional-grade analysis.
Call Options give you the right to buy a stock at the strike price. They increase in value when the stock price rises. Put Options give you the right to sell, increasing in value when the stock price falls.
Implied Volatility (IV) represents the market's expectation of future price moves. When IV is high, option premiums are higher (Vega risk). Traders use our calculator to see exactly how much their position is worth under different volatility scenarios.
Never enter an options trade without knowing your Delta (market exposure) and Theta (daily cost of holding). Our calculator provides these professional-grade metrics for free, helping you trade with the precision of a wall street quant.
Delta is often viewed as the probability of an option finishing 'In The Money'. Call options have a Delta between 0 and 1, while Puts range from -1 to 0. It helps traders hedge their directional risk.
Theta is your enemy as an option buyer and your friend as a seller. It quantifies the daily erosion of the option's value. Near-term options have higher Theta than long-term LEAPS.
Vega measures how much an option's price changes for every 1% change in Implied Volatility. This is critical for 'earnings plays' where volatility often crashes after the announcement (IV Crush).
Gamma is the second-order Greek. It tells you how much your Delta will change. High Gamma (found in ATM options near expiry) leads to rapid price swings, offering high reward but extreme risk.
Professional market makers often use these Greeks to maintain a 'Delta Neutral' portfolio, meaning their total Delta is zero. This strategy aims to profit from Theta (time) or Vega (volatility) rather than guessing the stock's direction.
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