BLACK-SCHOLES PRICING ENGINE

Options Greeks Calculator

Calculate Delta, Gamma, Theta, and Vega for any option using our Black-Scholes pricing engine. Free, instant, and built for traders.

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Learn about options Greeks in depth

Interactive Greeks Calculator

Enter option parameters below to calculate Greeks and theoretical price instantly.

Stock Price ($)

Strike Price ($)

Implied Volatility (%)

Days to Expiry

Risk-Free Rate (%)

Dividend Yield (%)

Option Type

Call Put

Delta Δ

—

Price change per $1 move

Gamma Γ

—

Rate of delta change

Theta Θ

—

Daily time decay

Vega V

—

Per 1% vol change

Option Price

—

Black-Scholes fair value

The Four Essential Greeks

Understand the key risk measures that every options trader needs to monitor.

Delta Δ

Price Sensitivity

Delta measures how much an option's price changes for every $1 move in the underlying stock. A delta of 0.50 means the option gains $0.50 when the stock rises $1. Calls have positive delta (0 to 1); puts have negative delta (-1 to 0).

Example: A call with delta 0.65 on AAPL at $180 will gain approximately $0.65 if AAPL rises to $181. Delta also approximates the probability of expiring in the money (~65%).

Gamma Γ

Rate of Delta Change

Gamma measures how fast delta changes when the stock moves $1. High gamma means delta is changing rapidly, which makes the option more sensitive to large price swings. Gamma is highest for at-the-money options near expiration.

Example: If your call has delta 0.50 and gamma 0.08, a $1 stock increase changes delta from 0.50 to 0.58. The next $1 move will have more impact than the first.

Theta Θ

Time Decay

Theta represents how much an option loses in value each day from the passage of time, all else being equal. Options are wasting assets — their time value erodes as expiration approaches. Theta works against buyers and for sellers.

Example: A theta of -0.05 means the option loses $0.05 per day. For 100 shares (1 contract), that is $5/day. Theta accelerates near expiration, especially for ATM options.

Vega V

Volatility Sensitivity

Vega measures how much an option's price changes for each 1% change in implied volatility. Higher volatility increases option prices for both calls and puts. Vega is highest for at-the-money options with more time to expiration.

Example: A vega of 0.12 means the option gains $0.12 if implied volatility rises by 1%. Earnings announcements and macro events can cause volatility spikes that significantly impact option prices.

Beyond Basic Greeks

AllInvestView goes further with advanced analytics for serious options traders.

Scenario Analysis

Model how your options perform under different price and volatility assumptions before risking capital.

Break-Even Calculation

Instantly see the exact stock price where your option position breaks even at expiration.

Annualized ROC

Calculate return on capital on an annualized basis to compare strategies with different timeframes.

Portfolio-Level Greeks

Aggregate Delta, Gamma, Theta, and Vega across all your positions for a holistic risk view.

How It Works

Calculate Greeks in seconds with our built-in pricing engine.

Enter Option Details

Input the underlying ticker, strike price, expiry date, and option type. Or import trades from your broker CSV.

Get Instant Greeks

Our Black-Scholes engine calculates Delta, Gamma, Theta, Vega, implied volatility, and theoretical price instantly.

Run Scenario Analysis

Adjust assumptions for stock price, volatility, and time to see how your options position responds.

4

Greeks Calculated

Instant

Calculation Speed

B-S

Pricing Model

Free

Calculator Access

Frequently Asked Questions

AllInvestView uses the Black-Scholes option pricing model to calculate all four major Greeks. The model takes the underlying stock price, strike price, time to expiration, risk-free rate, and implied volatility as inputs and derives Delta, Gamma, Theta, and Vega analytically. Historical volatility from daily price data is used when implied volatility is not available.

The Black-Scholes model is a mathematical framework for pricing European-style options. Developed by Fischer Black, Myron Scholes, and Robert Merton, it calculates the theoretical fair value of an option based on the current stock price, strike price, time to expiration, risk-free interest rate, and volatility. While it has known limitations (assumes constant volatility, no dividends in basic form), it remains the industry standard for options pricing and Greeks calculation.

Theta (time decay) accelerates near expiration because of how the time value component of an option premium diminishes. An option loses more time value per day as expiration approaches because there is less and less time for the underlying stock to move favorably. This effect is especially pronounced for at-the-money options, where nearly all remaining premium is time value.

Delta can serve as a rough approximation of the probability that an option will expire in the money. A call with a delta of 0.30 has roughly a 30% chance of expiring ITM, while a put with a delta of -0.70 has roughly a 70% chance. This is not exact — it is a simplification of risk-neutral probability — but it is widely used by traders for quick probability estimates.

Yes. AllInvestView recalculates Greeks periodically for all your active option positions using a background refresh process. You can see how Delta, Gamma, Theta, and Vega change as the underlying price moves and time passes, helping you manage risk and make informed adjustment decisions.