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Options Greeks Calculator

Calculate Delta, Gamma, Theta, Vega, and Rho instantly using the Black-Scholes-Merton model. Free, no signup required.

Black-Scholes-MertonBSM with Dividend YieldReal-time calculation

Parameters

Quick Presets

Theoretical Price

$11.2164

Breakeven

$466.2164

Prob. of Expiring ITM

44.2%

Δ Delta

0.4704

For every $1 move in the underlying, the option price changes by $0.4704.

Γ Gamma

0.0123

Rate of change of delta per $1 move. Higher gamma = more sensitive delta.

Θ Theta

-$0.2349/day

Time decay per calendar day. Negative means the option loses value over time.

ν Vega

$0.5128

P&L change per 1% increase in implied volatility.

ρ Rho

$0.1648

P&L change per 1% increase in the risk-free interest rate.

Intrinsic Value

$0.00

Time value: $11.2164

MoneynessOTM
Underlying / Strike$450.00 / $455.00
IV × √(DTE/365)7.17% expected move

Delta (Δ)

0 to 1 (calls) / −1 to 0 (puts)

How much the option price moves per $1 change in the underlying. A delta of 0.50 means the option gains $0.50 for every $1 the stock rises.

Gamma (Γ)

Always positive

The rate at which delta changes. High gamma near expiration means delta can shift dramatically — increasing risk for sellers.

Theta (Θ)

Usually negative

Daily time decay. An option with theta of −$0.05 loses $0.05 of value per day. Sellers collect theta; buyers pay it.

Vega (ν)

Always positive

Change in option price per 1% increase in implied volatility. Long options gain from rising IV; short options lose.

Rho (ρ)

Positive (calls) / Negative (puts)

Sensitivity to interest rate changes. Typically small for short-dated options but significant for LEAPS.

Implied Volatility

0% to ∞ (typically 10–100%)

The market's expectation of future price movement, back-solved from the option price. IV rank compares current IV to its 52-week range.

Practice with Market Context

Review calculated Greeks for paper positions and check each quote's freshness before making a decision.

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